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Umfang: 1 online resource (375 p.)

ISBN: 1-282-28966-7 , 9786612289668 , 0-08-095614-9

Serie: Mathematics in science and engineering ; v. 105

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

Anmerkung: Description based upon print version of record. , 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 , 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 , 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 , 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 , 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 , English

Weitere Ausg.: ISBN 0-12-237750-8

Sprache: Englisch

UID:

Umfang: 1 online resource (xiv, 357 p.) , Online-Ressource , ill

Ausgabe: Online-Ausg.] Elsevier e-book collection on ScienceDirect

ISBN: 0080956149 , 9780122377501 , 9780080956145

Serie: Mathematics in science and engineering 105

Originaltitel: Vvedenie v teorii︠u︡ different︠s︡ialʹnykh uravneniĭ s otkloni︠a︡i︠u︡shchimsi︠a︡ argumentom. 〈engl.〉

Anmerkung: Description based on print version record

Weitere Ausg.: Erscheint auch als Druck-Ausgabe Ėlʹsgolʹc, Lev Ėrnestovič Introduction to the theory and application of differential equations with deviating arguments New York [u.a.] : Academic Pr., 1973 ISBN 0122377508

Sprache: Englisch

URL: Volltext  (Deutschlandweit zugänglich)

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Umfang: XIV, 357 S.

ISBN: 0-12-237750-8

Serie: Mathematics in science and engineering 105

Originaltitel: Vvedenie v teoriju differencial'nych uravnenij s otklonjajuščimsja argumentom

Anmerkung: Literaturverz. S. 293 - 357

Sprache: Englisch

Fachgebiete: Wirtschaftswissenschaften , Mathematik

Schlagwort(e): Differentialgleichung ; Differentialgleichung ; Abweichende Meinung ; Argumentation ; Deviating arguments ; Abweichendes Argument

UID:

Umfang: XIV, 357 S , Ill

Ausgabe: 2. Aufl

ISBN: 0122377508

Serie: Mathematics in science and engineering 105

Originaltitel: Vvedenie v teoriju differencial'nych uravnenij s otklonjajuščimsja argumentov 〈engl.〉

Anmerkung: Literaturverz. S. 293 - 357

Weitere Ausg.: Erscheint auch als Online-Ausgabe Ėlʹsgolʹt︠s︡, Lev Ėrnestovich Introduction to the theory and application of differential equations with deviating arguments New York : Academic Press, 1973 ISBN 0080956149

Weitere Ausg.: ISBN 9780122377501

Weitere Ausg.: ISBN 9780080956145

Sprache: Englisch