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Articles 25621 - 25650 of 27387

Full-Text Articles in Physical Sciences and Mathematics

Monotone Method For Second Order Periodic Boundary Value Problems, S. Leela Jul 1982

Monotone Method For Second Order Periodic Boundary Value Problems, S. Leela

Mathematics Technical Papers

In recent years, there has been an extensive study of the existence of periodic solutions [1,8-11,14,15]. In, [8,11], the existence of solutions of first and second order PBVP (periodic boundary value problems) has been obtained by a novel approach of combining the classical method of lower and upper solutions and the method of alternative problems (Lyapunov-Schmidt method), which provide conditions that are easily verifiable and which covers previous known results of other authors. As a constructive method for obtaining extremal solutions of initial and boundary value problems, the monotone iterative procedure has been employed by several researchers [5-7,11-13,15]. The objective …

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Ua66/16/2 Newsletter, Wku Mathematics & Computer Science Jul 1982

Ua66/16/2 Newsletter, Wku Mathematics & Computer Science

WKU Archives Records

Newsletter created by and about the WKU Mathematics department.

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Comparison Results For Parabolic Differential Equations At Resonance, A. S. Vatsala, G. R. Shendge Jul 1982

Comparison Results For Parabolic Differential Equations At Resonance, A. S. Vatsala, G. R. Shendge

Mathematics Technical Papers

It is very well known that comparison principles for initial and boundary value problems for nonresonance cases have been very much used in the existence of solutions and the development of the monotone method [1,2,3,4,5,9]. These comparison techniques do not cover the resonance cases. Hence it is of practical interest to look at such results for resonance cases. With this view, different comparison results were recently developed for first and second order periodic boundary value problems [10]. Some special cases of these have been used in [6,7] and in developing the monotone method for first order periodic systems in [11]. …

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Monotone Technique For Periodic Solutions Of Differential Equations, S. Leela Jul 1982

Monotone Technique For Periodic Solutions Of Differential Equations, S. Leela

Mathematics Technical Papers

The existence of periodic solutions has received a great deal of attention in recent years [1,7-11,14]. In [8,11] the existence of solutions of first and second order PBVP (periodic boundary value problem) has been studied successfully by combining the two basic techniques, namely, the method of lower and upper solutions and the Lyapunov-Schmidt method. In [6,11-13] monotone methods are developed for obtaining extremal solutions of BVP as limits of monotone iterates. In the first order PBVP [11] the monotone method has a greater significance since each member of the sequence is a periodic solution of a first order linear equation …

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Scs 65: Bernhardina (The Essential Hull Revisited), Karl Heinrich Hofmann Jun 1982

Scs 65: Bernhardina (The Essential Hull Revisited), Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

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The Most Conservative Beta Prior Distribution For Binomial Sampling, Paul Chiou, Danny D. Dyer Jun 1982

The Most Conservative Beta Prior Distribution For Binomial Sampling, Paul Chiou, Danny D. Dyer

Mathematics Technical Papers

The incorporation of prior information about a parameter into a statistical procedure is an essential feature of Bayesian statistics. However, the manner in which this is done is often arbitrary. In order to reduce such arbitrariness, methodology based on information theoretic concepts is introduced which (a) quantifies the amount of information provided by the sample data relative to that provided by the prior distribution and (b) allows for a ranking of prior distributions with respect to conservativeness, where conservatism refers to restraint of extraneous information which is embedded in any prior distribution of the parameter. To illustrate the implementation of …

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Scs 64: A Continuous Poset Whose Compactification Is Not A Continuous Poset. The Square Is The Injective Hull Of A Discontinuous Cl-Compact Poset, Karl Heinrich Hofmann, Michael Mislove May 1982

Scs 64: A Continuous Poset Whose Compactification Is Not A Continuous Poset. The Square Is The Injective Hull Of A Discontinuous Cl-Compact Poset, Karl Heinrich Hofmann, Michael Mislove

Seminar on Continuity in Semilattices

No abstract provided.

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Comparisons Of Stop Rule And Supremum Expectations Of I.I.D. Random Variables, Theodore P. Hill, Robert P. Kertz May 1982

Comparisons Of Stop Rule And Supremum Expectations Of I.I.D. Random Variables, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

Implicitly defined (and easily approximated) universal constants 1.1 < an < 1.6, n = 2,3, ... , are found so that if X1, X2, ... are i.i.d. non-negative random variables and if the Tn is the set of stop rules for X1, ..., Xn, then E (max {X1, ..., Xn}) ≤ ansup {EXt : t ε Tn}, and the bound an is best possible. Similar universal constants 0 < bn < 1/4 are found so that if the (Xi) are i.i.d. random variables taking values only in …

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The Shape Seeker Algorithm, Ladawn Haws May 1982

The Shape Seeker Algorithm, Ladawn Haws

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper gives a brief description of several well known fuzzy objective function clustering algorithms, and discusses the convergence properties of this type of algorithm. The Shape Seeker algorithm, an adaptive norm algorithm, is then described in detail, and convergence established. It is compared to the other algorithms by examining the clusterings it produces on several data sets.

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Comparison Results For First And Second Order Boundary Value Problems At Resonance, A. S. Vatsala, G. R. Shendge May 1982

Comparison Results For First And Second Order Boundary Value Problems At Resonance, A. S. Vatsala, G. R. Shendge

Mathematics Technical Papers

It is well known that the comparison principle for the initial value problems has been very useful in the theory of differential equations [1, 2,5]. Recently, such types of comparison results were developed for boundary value problems [3,4] and were used in proving the existence of solutions. It is natural to expect that comparison results for problems at resonance will he useful in proving, for example, existence results for periodic boundary value problems. Recently, existence of periodic solutions for first and second order differential equations have been considered by utilizing the method of upper and lower solutions and Lyapunov-Schmidt method, …

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Structural Identification Of Large Systems By Reduction To Subsystems: Vldl Triglycerides, S. M. Grundy, Jerome Eisenfeld May 1982

Structural Identification Of Large Systems By Reduction To Subsystems: Vldl Triglycerides, S. M. Grundy, Jerome Eisenfeld

Mathematics Technical Papers

Experiments are performed for identification purposes, i.e. to identify the values of unknown paprameters from data. In the event that one or more parameters can not be identified, the cause could be the result of a variety of problems: insuffcient or infrequent sampling, random or nonrandom disturbances, numerical ill-conditioning and etc. The input-output configuration may also be the cause of non-identifiability. In other words, evenif the sampling and numerical procedure could be carried out under the most ideal conditions, certain parameters may not be identifiable because these parameters are not uniquely contained in the transfer function, in which case these …

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Discrete Modeling Of Minimal Surfaces, C. Coppin, Donald Greenspan May 1982

Discrete Modeling Of Minimal Surfaces, C. Coppin, Donald Greenspan

Mathematics Technical Papers

A new computer approach to the modeling of minimal surfaces is described and implemented. Quasi-molecular particles and forces are used to simulate actual molecular structure and forces. Detailed formulas and computer techniques are given. As an example, the approximation of the unique minimal surface through a skew quadrilateral is constructed and displayed.

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A Topological Method For Vector-Valued And Nth Order Nonlinear Boundary Value Problems, P. K. Palamides, Stephen R. Bernfeld May 1982

A Topological Method For Vector-Valued And Nth Order Nonlinear Boundary Value Problems, P. K. Palamides, Stephen R. Bernfeld

Mathematics Technical Papers

The use of topological methods in the analysts of second order nonlinear boundary value problems (BVP for short) in Rn of the form (E) [see pdf for notation] (C) [see pdf for notation] has recently attracted the interest of many authors (e.g. [1], [4], [5],[8],[11]) for the case in which n = 1. The prevalent approaches have been the topological method of Wazewski [1,8], the shooting method via the maximum principle, and the Kneser-Hukuhara continuum theorem [1]. A common ingredient in these approaches is the use of upper and lower solutions to obtain bounds on the solutions.

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Remarks On First And Second Order Periodic Boundary Value Problems, V. Lakshmikantham May 1982

Remarks On First And Second Order Periodic Boundary Value Problems, V. Lakshmikantham

Mathematics Technical Papers

We consider the first and second order periodic boundary value problems (PBVP for brevity)[see pdf for notation] and [see pdf for notation]and obtain the existence of extremal solutions as limits of monotone iterates. In [2] and [3], the monotone method was employed for the problems (1.1) and (1.2) when the corresponding lower and upper solutions a(t),B(t) satisfy [see pdf for notation] in addition to other conditions. Furthermore, when f is increasing, it is shown [2,3] that the conditions (1.3) and (1.4) are tantamount to assuming the existence of a periodic solution. Accordingly, the problem of proving the existence of periodic …

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Numerical Methods (Finite Element) For Time-Dependent Partial Differential Equations, Masaji Watanabe May 1982

Numerical Methods (Finite Element) For Time-Dependent Partial Differential Equations, Masaji Watanabe

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper surveys reasons why the Ritz method and the Galerkin method are not efficient and why these methods can not be applied directly, for time dependent problems. It also introduces methods that are used for those problems. For a linear boundary value problem defined by a positive definite symmetric (self-adjoint) operator, the existence and the convergence of the Ritz approximation are guaranteed. In non-symmetric case, Lax-Milgram lemma assures the existence and the convergence of the Galerkin approximation for H1/2(Ω)-elliptic operator. Since time-dependent problems are hyperbolic or parabolic, the existence and the convergence of approximations by those methods are not …

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Newsletter, Moorhead State University, Mathematics Department, Moorhead State University, Mathematics Department Apr 1982

Newsletter, Moorhead State University, Mathematics Department, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

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Effects Of Programming On Mathematics Achievement, Mary O. Harrison Apr 1982

Effects Of Programming On Mathematics Achievement, Mary O. Harrison

Retrospective Theses and Dissertations

No abstract provided.

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Problems At Resonance For First And Second Order Differential Equations Via Lyapunov-Like Functions, J. J. Nieto Apr 1982

Problems At Resonance For First And Second Order Differential Equations Via Lyapunov-Like Functions, J. J. Nieto

Mathematics Technical Papers

Recently [7,8,10] an attempt is made successfully to combine the two basic techniques namely, Lyapunov-Schmidt method and the method of upper and lower solutions, to investigate the existence of periodic solutions of differential equations. When we wish to extend such results for systems of differential equations there are two possibilities to follow. One is to generalize the method of upper and lower solutions using a suitable cone, and the other is to utilize the concept of tyapunov-like functions and the theory of differential inequalities. In the paper, we shall discuss the existence of problems at resonance for first and second …

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Probability Of Selecting The "Correct" Model And Determination Of Sample Size In Regression, Chien-Pai Han, Wendell C. Smith Apr 1982

Probability Of Selecting The "Correct" Model And Determination Of Sample Size In Regression, Chien-Pai Han, Wendell C. Smith

Mathematics Technical Papers

Selection of variables in multiple linear regression is a common problem in model building. Let the "correct" model be the model which includes all variables that influence the dependent variable and excludes all others. This paper derives the probability of selecting the correct model for the sequential deletion procedure. A concept of least favorable selection is given. Based on this concept, the sample size is determined for given probability of selecting the correct model. The procedure is illustrated by considering the polynomial regression.

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Existence Of Periodic Solutions Of Semilinear Parabolic Equations And The Method Of Upper And Lower Solutions, V. Lakshmikantham, R. Kannan Apr 1982

Existence Of Periodic Solutions Of Semilinear Parabolic Equations And The Method Of Upper And Lower Solutions, V. Lakshmikantham, R. Kannan

Mathematics Technical Papers

The existence of periodic solutions of semilinear parabolic equations has been investigated by several authors [1-10,15-18] by different methods such as the method of Poincare operator and the theory of monotone operators. In a recent paper [1] Amann also obtains multiplicity results. Recently, an attempt was made successfully in [11,12,16] to combine the two basic techniques, namely the method of upper and lower solutions and the method of Lyapunov-Schmidt to investigate existence of periodic solutions of first and second order equations. In this paper we continue this fruitful approach to study existence of periodic solutions of semilinear parabolic equations with …

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Monotone Iterative Technique For Delay Differantial Equations In Abstract Cones, Sen-Wo Du Apr 1982

Monotone Iterative Technique For Delay Differantial Equations In Abstract Cones, Sen-Wo Du

Mathematics Technical Papers

Monotone iterative technique is developed for delay differential equations in a Banach space by utilizing the method of upper and lower solutions.

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Scs 63: The Fell Compactification, Rudolf-Eberhard Hoffmann Mar 1982

Scs 63: The Fell Compactification, Rudolf-Eberhard Hoffmann

Seminar on Continuity in Semilattices

No abstract provided.

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An Algorithm For Finding The Generalized Nucleolus Of A Finite Set And The Multiobjective Discrete Programming Problems, Irinel C. Dragan Mar 1982

An Algorithm For Finding The Generalized Nucleolus Of A Finite Set And The Multiobjective Discrete Programming Problems, Irinel C. Dragan

Mathematics Technical Papers

No abstract provided.

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Economic Regionalization Of India 1960-61 And 1970-71., Rabindranath De Dr. Feb 1982

Economic Regionalization Of India 1960-61 And 1970-71., Rabindranath De Dr.

Doctoral Theses

A massive investment programme has been undertaken in India through the process of planning. But the effects of such investment on economic growth are worked out only at the aggregate level for the country as a whole; its contribution to the growth of the different regions in the country is yet to be adequately understood. Now, for a large country like India with significant regional disparities in the level of living, an essential objective of development policy should be to reduce the existing economic inequality between the regions | in particular, the inequality in the level of living. The priority …

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On Specification And Statistical Inference In Single Equation Regression Models., Nityananda Sarkar Dr. Feb 1982

On Specification And Statistical Inference In Single Equation Regression Models., Nityananda Sarkar Dr.

Doctoral Theses

This thesis attempta to cansider and provids solutions to viat nay be broadly decribed na Bone problems of speciification and satatistical inforence in single equation lineur regression models. It co sists of three parte, each having several chepters. The firat part in devoted to sme problems connec ted vith the use of the wall-imown Bor-Cox (BC) tranaformation of variablee in single equetion ragreanion nodels. In the other two parts we exanine an autocorrelated linear regreasion nodel from a rather unconventional angle. Precisely, we consider the problema which arise when the error tem in an autocorre lated linear regression nodel is …

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Spectral And Scattering Theory For Schrodinger Operator With A Class Of Momentum Dependent Long Range Potentials., P. L. Muthuramalingam Dr. Feb 1982

Spectral And Scattering Theory For Schrodinger Operator With A Class Of Momentum Dependent Long Range Potentials., P. L. Muthuramalingam Dr.

Doctoral Theses

No abstract provided.

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Replacement Strategies For Ageing Assets With Specific Reference To Coconut Plams In Kerala., Chandan Mukherjee Dr. Feb 1982

Replacement Strategies For Ageing Assets With Specific Reference To Coconut Plams In Kerala., Chandan Mukherjee Dr.

Doctoral Theses

Produotion assets which deteriorate in performance with time (or age) are required to be replaced. In general, a stream of benefits and costa are associated with every productive asset, be it a machine or a tree. Ugually, in replacement theory, the benefits and costs are taken as given functions of the age of the asset. These functions provide the oriteria for identifying the pÅ‚ysical condition of the asset. In simple replacement models, an asset is replaced by an ider tical one. The objective of a replacement policy is to find a sequence of time pointe (or alternatively, replacement ages) for …

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Pathwise Stochastic Calculus Of Continuous Semimartingales., Rajeeva L. Karandikar Dr. Feb 1982

Pathwise Stochastic Calculus Of Continuous Semimartingales., Rajeeva L. Karandikar Dr.

Doctoral Theses

Stochastic integration with respect to Brownian motion was introduced by Ito. Stochastic integration with respect to martingales (and seminartingales) was developed by Kunita-Watanable [24 Fisk [9), Courrege D] and Meyer [33]. In this thesis, we study the path wise stochastic calculus restricting ourselves to continuous semimartingales. Here is a brief summary of our results.In Chapter I, we obtain a pathwise formula for the quadratic variation process < M > of a continuous local martingale M. Recall theat < M > is the natural increasing process in the Doob-Meyer decomposition of M. By a part wice formula for M> we mean a formula describing cxplicitly a w-path …

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Estimation In Errors-In-Variables Models., Manoranjan Pal Dr. Feb 1982

Estimation In Errors-In-Variables Models., Manoranjan Pal Dr.

Doctoral Theses

In many econometric investigations, the 'errors-in variables' (EIVs) are not negligible (Morgenstern, 1963). Examination of 25 series relating to national accounts by Langaskens and Rijekeghan (1974) showed that the standard deviations of the errors ranged from 5 to 77 per cent of the average value of the corresponding variable. Such errors may vitiate least-squares (LS) estimation of regression coefficients (Johnaton, 1972). The well-known methods (ML; IV, including grouping method) proposed for handling classical EIV model (EMM) in regression analysis muffer from serious linitations. Same of them make strong distributional assumptions about the errors (and the regressors) and/or assume prier knowledge …

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Measurable Sets In Product Spaces And Their Parametrizations., V. V. Srivatsa Dr. Feb 1982

Measurable Sets In Product Spaces And Their Parametrizations., V. V. Srivatsa Dr.

Doctoral Theses

No abstract provided.

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