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Introduction to the theory and application of differential equations with deviating arguments /

Introduction to the theory and application of differential equations with deviating arguments.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ėlʹsgolʹt͡s, L. Ė. (Lev Ėrnestovich)
Otros Autores: Norkin, S. B. (Sim Borisovich)
Formato: Electrónico eBook
Idioma:Inglés
Ruso
Publicado: New York : Academic Press, 1973.
Colección:Mathematics in science and engineering ; v. 105.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Ėlʹsgolʹt͡s, L. Ė.  |q (Lev Ėrnestovich) 
240 1 0 |a Vvedenie v teorii͡u different͡sialʹnykh uravneniĭ s otkloni͡ai͡ushchimsi͡a argumentom.  |l English 
245 1 0 |a Introduction to the theory and application of differential equations with deviating arguments /  |c L.E. Ėlʹsgolʹt͡s and S.B. Norkin ; translated by John L. Casti. 
260 |a New York :  |b Academic Press,  |c 1973. 
300 |a 1 online resource (xiv, 357 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Mathematics in science and engineering ;  |v v. 105 
504 |a Includes bibliographical references (pages 293-357). 
588 0 |a Print version record. 
505 0 |a Front Cover; Introduction to the Theory and Application of Differential Equations with Deviating Arguments; Copyright Page; Contents; PREFACE; TRANSLATOR'S NOTE; INTRODUCTION; Chapter I. Basic Concepts and Existence Theorems; 1. Statement of the Basic Initial Value Problem. Classifications; 2. The Method of Steps; 3. Integrable Types of Equations with a Deviating Argument; 4. Existence and Uniqueness Theorems for the Solution of the Basic Initial Value Problem; 5. Some Specific Singularities of the Solutions of Equations with a Deviating Argument; Chapter II. Linear Equations 
505 8 |a 1. Some Properties of Linear Equations2. Linear Equations with Constant Coefficients and Constant Deviating Arguments; 3. The Characteristic Quasipolynomial; 4. The Expansion of the Solution into a Series of Basic Solutions; 5. Two-Sided Solutions; 6. The Homogeneous Initial Value Problem; 7. Some Types of Linear Equations with Variable Coefficients and Variable Deviating Arguments; Chapter III. Stability Theory; 1. Basic Concepts; 2. The Stability of Solutions to Stationary Linear Equations; 3. Conditions for Negativity of the Real Parts of All Roots of the Quasipolynomial 
505 8 |a 4. The Case of Small Deviating Arguments5. The Case of Large Deviating Arguments; 6. Lyapunov's Second Method; 7. Stability in the First Approximation; 8. Stability under Constantly Acting Disturbances; 9. Lyapunov's Second Method for Equations of Neutral Type; 10. Absolute Stability; Chapter IV. Periodic Solutions; 1. Some Properties of Periodic Solutions and Existence Theorems; 2. Periodic Solutions of Stationary, Linear, Homogeneous Equations; 3. Periodic Solutions of Linear Inhomogeneous Equations with Stationary Homogeneous Parts 
505 8 |a 4. Periodic Solutions of Linear Equations with Variable Coefficients and Deviating Arguments5. Periodic Solutionsof Quasilinear Equations; 6. Functionally Equivalent Systems of Differential Equations with a Deviating Argument; Chapter V. Stochastic Differential Equations with a Retarded Argument; 1. Basic Concepts; 2. Stability; 3. Stationary Solutions of Equations with a Delay; Chapter VI. Approximate Methods for the Integration of Differential Equations with a Deviating Argument; 1. General Remarks about the Application of Approximate Integration Methods 
505 8 |a 2. Euler's Method and Parabolic Methods3. Expansion in Powers of the Retardation; 4. Asymptotic Methods for Equations with Small Deviating Argument; 5. Iterative Methods; Chapter VII. Some Generalizations and a Brief Survey of Work in Other Areas of the Theory of Differential Equations with a Deviating Argument; 1. Some Generalizations; 2. Periodic Solutions; 3. Boundary-Value Problems; 4. Optimal Processes with a Retardation; 5. Stationary Points; BIBLIOGRAPHY; I. Monographs; II. Survey Articles; III. Journal Articles 
520 |a Introduction to the theory and application of differential equations with deviating arguments. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Delay differential equations. 
650 0 |a Differential-difference equations. 
650 0 |a Differential equations. 
650 6 |a Équations différentielles aux différences. 
650 6 |a Équations différentielles. 
650 6 |a Équations différentielles à retard. 
650 7 |a MATHEMATICS  |x Differential Equations  |x General.  |2 bisacsh 
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700 1 |a Norkin, S. B.  |q (Sim Borisovich) 
776 0 8 |i Print version:  |a Ėlʹsgolʹt͡s, L. Ė (Lev Ėrnestovich).  |s Vvedenie v teorii͡u different͡sialʹnykh uravneniĭ s otkloni͡ai͡ushchimsi͡a argumentom. English.  |t Introduction to the theory and application of differential equations with deviating arguments.  |d New York : Academic Press, 1973  |z 9780122377501  |w (DLC) 73000811  |w (OCoLC)700708 
830 0 |a Mathematics in science and engineering ;  |v v. 105. 
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