مقدمه‌ای بر نظریه و کاربرد معادلات دیفرانسیل با آرگومان‌های انحرافی، جلد ۱۰۵ (ریاضیات در علم و مهندسی)

Introduction to the Theory and Application of Differential Equations with Deviating Arguments 2nd edition is a revised and substantially expanded edition of the well-known book of L. E. El'sgol'ts published under this same title by Nauka in 1964. Extensions of the theory of differential equations with deviating argument as well as the stimuli of developments within various fields of science and technology contribute to the need for a new edition. This theory in recent years has attracted the attention of vast numbers of researchers, interested both in the theory and its applications. The development of the foundations of the theory of differential equations with a deviating argument is still far from complete. This situation, of course, leaves its mark on our suggestions to the reader of the book and prevents as orderly and systematic a presentation as is usual for mathematical literature. However, it is hoped that in spite of these deficiencies the book will prove useful as a first acquaintanceship with the theory of differential equations with a deviating argument. Content: Edited by Page iii Copyright page Page iv Preface to the Second Russian Edition Pages vii-ix S.B. Norkin Translator's Note Page xi Introduction Pages xiii-xiv Chapter I Basic Concepts and Existence Theorems Original Research Article Pages 1-56 Chapter II Linear Equations Original Research Article Pages 57-117 Chapter III Stability Theory Original Research Article Pages 119-182 Chapter IV Periodic Solutions Original Research Article Pages 183-217 Chapter V Stochastic Differential Equations with a Retarded Argument Original Research Article Pages 219-233 Chapter VI Approximate Methods for the Integration of Differential Equations with a Deviating Argument Original Research Article Pages 235-249 Chapter VII Some Generalizations and a Brief Survey of Work in Other Areas of the Theory of Differential Equations with a Deviating Argument Original Research Article Pages 251-292 Bibliography Pages 293-357