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ISBN:0792344472
Author: Uri Elias
ISBN13: 978-0792344476
Title: Oscillation Theory of Two-Term Differential Equations (Mathematics and Its Applications)
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Language: English
Category: Mathematics
Publisher: Springer; 1997 edition (March 31, 1997)
Pages: 226

Oscillation Theory of Two-Term Differential Equations (Mathematics and Its Applications) by Uri Elias



Special attention is paid to the equation y(n) + p(x)y 0. These equations enjoy a very rich structure and are the natural generalization of the Sturm-Liouville operator.

Oscillation Theory of Two-Tenn Differential Equations. Mathematics and Its Applications. Volume 396. Oscillation Theory of Two-Term Differential Equations. The other restricts its area of interest to certain families of equations and studies in maximal details phenomena which characterize only those equations. p(x)y O. More generally, we investigate LnY. + p(x)y 0, where Ln is a disconjugate operator and p(x) has a fixed sign.

Oscillation theory of l equations. Discrete Oscillation Theory (Contemporary Mathematics and Its Applications). Differential equations: Theory and applications Comparison and Oscillation Theory of Linear Differential Equations. Introduction to the Theory and Applications of Functional Differential Equations (Mathematics and Its Applications (closed)). Report "Oscillation Theory of Two-Term Differential Equations (Mathematics and Its Applications)".

Oscillation theory was born with Sturm's work in 1836. It has been flourishing for the past fifty years. Nowadays it is a full, self-contained discipline, turning more towards nonlinear and functional differential equations. Oscillation theory flows along two main streams. The first aims to study prop­ erties which are common to all linear differential equations.

Mathematics and its applications (Kluwer Academic Publishers) ; v. 396. Rubrics: Differential equations, Linear Oscillations. On this site it is impossible to download the book, read the book online or get the contents of a book. The administration of the site is not responsible for the content of the site. The data of catalog based on open source database. All rights are reserved by their owners. Download book Oscillation theory of two-term differential equations, by Uri Elias.

Department of Mathematics, Technion-Israel Institute of Technology. Oscillation theory of two-term differential equations". Springer, Mathematics and its Applications, Volume 396, ISBN 978-94-017-2517-0. formerly Kluwer Academic Publishers). Contents, Preface and Index pages of the book, its Reference list. בוא למשואות דיפרנציאליות רגילות.

Choose file format of this book to download: pdf chm txt rtf doc. Download this format book. Oscillation theory of two-term differential equations by Uri Elias. Book's title: Oscillation theory of two-term differential equations by Uri Elias. Library of Congress Control Number: 97003731.

Applied Theory of Functional Differential Equations (Mathematics and . .V. Kolmanovskii, A. Myshkis Close. Are you sure you want to remove Applied Theory of Functional Differential Equations (Mathematics and its Applications) from your list? Applied Theory of Functional Differential Equations (Mathematics and its Applications). by V. Myshkis.

This textbook on oscillation theory of partial differential equations is useful for both specialists and graduate students working in the field of differential equations. The book will also help to stimulate further progress in the study of oscillation theory and related subjects. The theory of impulsive partial differential systems makes its beginning with the paper in 1991. Forced Oscillation of Nonlinear Impulsive Hyperbolic Partial Differential Equation with Several Delays.

U. Elias: Oscillation Theory of Two-Term Differential equations. MR 1445292 Zbl 0878. 26. W. T. Reid: Sturmian Theory for Ordinary Differential Equations. Springer Verlag, New in 1980. MR 0606199 Zbl 0459. 27. F. Trench: Canonical forms and principal systems of general disconjugate equations.

Oscillation theory was born with Sturm's work in 1836. It has been flourishing for the past fifty years. Nowadays it is a full, self-contained discipline, turning more towards nonlinear and functional differential equations. Oscillation theory flows along two main streams. The first aims to study prop­ erties which are common to all linear differential equations. The other restricts its area of interest to certain families of equations and studies in maximal details phenomena which characterize only those equations. Among them we find third and fourth order equations, self adjoint equations, etc. Our work belongs to the second type and considers two term linear equations modeled after y(n) + p(x)y = O. More generally, we investigate LnY + p(x)y = 0, where Ln is a disconjugate operator and p(x) has a fixed sign. These equations enjoy a very rich structure and are the natural generalization of the Sturm-Liouville operator. Results about such equations are distributed over hundreds of research papers, many of them are reinvented again and again and the same phenomenon is frequently discussed from various points of view and different definitions of the authors. Our aim is to introduce an order into this plenty and arrange it in a unified and self contained way. The results are readapted and presented in a unified approach. In many cases completely new proofs are given and in no case is the original proof copied verbatim. Many new results are included.