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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.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| 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 Texto completo Texto completo |
MARC
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| 100 | 1 | |a �El�sgol��t�s, L. �E. |q (Lev �Ernestovich) | |
| 240 | 1 | 0 | |a Vvedenie v teori�i�u differen�t�sial�nykh uravneni�i s otklon�i�a�i�ushchims�i�a argumentom. |l English |
| 245 | 1 | 0 | |a Introduction to the theory and application of differential equations with deviating arguments / |c L.E. �El�sgol��t�s 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 | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |2 rdaft |0 http://rdaregistry.info/termList/fileType/1002. | ||
| 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. | ||
| 650 | 0 | |a Delay differential equations. | |
| 650 | 0 | |a Differential-difference equations. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 6 | |a �Equations diff�erentielles aux diff�erences. |0 (CaQQLa)201-0106225 | |
| 650 | 6 | |a �Equations diff�erentielles. |0 (CaQQLa)201-0003667 | |
| 650 | 6 | |a �Equations diff�erentielles �a retard. |0 (CaQQLa)201-0024772 | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Differential equations. |2 fast |0 (OCoLC)fst00893446 | |
| 650 | 7 | |a Differential-difference equations. |2 fast |0 (OCoLC)fst00893505 | |
| 650 | 7 | |a Delay differential equations. |2 fast |0 (OCoLC)fst00889911 | |
| 700 | 1 | |a Norkin, S. B. |q (Sim Borisovich) | |
| 776 | 0 | 8 | |i Print version: |a �El�sgol��t�s, L. �E (Lev �Ernestovich). |s Vvedenie v teori�i�u differen�t�sial�nykh uravneni�i s otklon�i�a�i�ushchims�i�a 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. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780122377501 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=105 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/105 |z Texto completo |