Invited Lectures Delivered at the ... International Colloquium on Differential Equations PDF Download

Author:
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 200

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Author: Svetoslav Nenov
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 136

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Author: Angel Dishliev
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 170

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Author:
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 374

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Author:
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 180

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Author: Shlomo Strelitz
Publisher: American Mathematical Soc.
ISBN: 0821813528
Category : Mathematics
Languages : en
Pages : 105

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Asymptotics are built for the solutions $y_j(x, \lambda)$, $y_j DEGREES{(k)}(0, \lambda)=\delta_{j\, n-k}$, $0\le j, k+1\le n$ of the equation $L(y)=\lambda p(x)y, \quad x\in [0,1], $ where $L(y)$ is a linear differential operator of whatever order $n\ge 2$ and $p(x)$ is assumed to possess a finite number of turning points. The established asymptotics are afterwards applied to the study of: 1) the existence of infinite eigenvalue sequences for various multipoint boundary problems posed on $L(y)=\lambda p(x)y, \quad x\in [0,1], $, especially as $n=2$ and $n=3$ (let us be aware that the same method can be successfully applied on many occasions in case $n>3$ too) and 2) asymptotical distribution of the corresponding eigenvalue sequences on the

Author: Drumi D Bainov
Publisher: World Scientific
ISBN: 9814504017
Category : Mathematics
Languages : en
Pages : 282

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This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.

Author: Bennewitz
Publisher: Academic Press
ISBN: 0080958737
Category : Computers
Languages : en
Pages : 399

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Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990

Author: Kuppalapalle Vajravelu
Publisher: Springer Science & Business Media
ISBN: 1461302773
Category : Mathematics
Languages : en
Pages : 429

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The International Conference on Differential Equations and Nonlinear Mechanics was hosted by the University of Central Florida in Orlando from March 17-19, 1999. One of the conference days was dedicated to Professor V. Lakshmikantham in th honor of his 75 birthday. 50 well established professionals (in differential equations, nonlinear analysis, numerical analysis, and nonlinear mechanics) attended the conference from 13 countries. Twelve of the attendees delivered hour long invited talks and remaining thirty-eight presented invited forty-five minute talks. In each of these talks, the focus was on the recent developments in differential equations and nonlinear mechanics and their applications. This book consists of 29 papers based on the invited lectures, and I believe that it provides a good selection of advanced topics of current interest in differential equations and nonlinear mechanics. I am indebted to the Department of Mathematics, College of Arts and Sciences, Department of Mechanical, Materials and Aerospace Engineering, and the Office of International Studies (of the University of Central Florida) for the financial support of the conference. Also, to the Mathematics Department of the University of Central Florida for providing secretarial and administrative assistance. I would like to thank the members of the local organizing committee, Jeanne Blank, Jackie Callahan, John Cannon, Holly Carley, Brad Pyle, Pete Rautenstrauch, and June Wingler for their assistance. Thanks are also due to the conference organizing committee, F. H. Busse, J. R. Cannon, V. Girault, R. H. J. Grimshaw, P. N. Kaloni, V.

Author: W. N. Everitt
Publisher: Springer
ISBN: 3540376186
Category : Mathematics
Languages : en
Pages : 387

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Proceedings