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| Verfasst von: | Poljanin, Andrej D. [VerfasserIn]  |
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| | Sorokin, Vsevolod G. [VerfasserIn] |
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| | Zhurov, Alexei I. [VerfasserIn] |
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| Titel: | Delay ordinary and partial differential equations |
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| Verf.angabe: | Andrei D. Polyanin, Vsevolod G. Sorokin, Alexi I. Zhurov |
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| Ausgabe: | First edition |
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| Verlagsort: | Boca Raton ; London ; New York |
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| Verlag: | CRC Press |
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| Jahr: | 2024 |
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| Umfang: | 1 Online-Ressource (xviii, 415 Seiten) |
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| Gesamttitel/Reihe: | Advances in Applied Mathematics |
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| Fussnoten: | Description based on publisher supplied metadata and other sources |
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| ISBN: | 978-1-000-92589-0 |
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| Abstract: | Delay Ordinary and Partial Differential Equations is intended for a broad audience of scientists, university professors, and graduate and postgraduate students specializing in applied and computational mathematics, mathematical physics, mechanics, control theory, biology, medicine, chemical technology, ecology, and economics. |
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| | Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Preface -- Notations and Remarks -- Authors -- 1. Delay Ordinary Differential Equations -- 1.1. First-Order Equations. Cauchy Problem. Method of Steps. Exact Solutions -- 1.1.1. Preliminary Remarks -- 1.1.2. First-Order ODEs with Constant Delay. Cauchy Problem. Qualitative Features -- 1.1.3. Exact Solutions to a First-Order Linear ODE with Constant Delay. The Lambert W Function and Its Properties -- 1.1.4. First-Order Nonlinear ODEs with Constant Delay That Admit Linearization or Exact Solutions -- 1.1.5. Method of Steps. Solution of the Cauchy Problem for a First-Order ODE with Constant Delay -- 1.1.6. Equations with Variable Delay. ODEs with Proportional Delay -- 1.1.7. Existence and Uniqueness of Solutions. Suppression of Singularities in Solving Blow-Up Problems -- 1.2. Second- and Higher-Order Delay ODEs. Systems of Delay ODEs -- 1.2.1. Basic Concepts. The Cauchy Problem -- 1.2.2. Second-Order Linear Equations. The Cauchy Problem. Exact Solutions -- 1.2.3. Higher-Order Linear Delay ODEs -- 1.2.4. Linear Systems of First- and Second-Order ODEs with Delay. The Cauchy Problem. Exact Solutions -- 1.3. Stability (Instability) of Solutions to Delay ODEs -- 1.3.1. Basic Concepts. General Remarks on Stability of Solutions to Linear Delay ODEs -- 1.3.2. Stability of Solutions to Linear ODEs with a Single Constant Delay -- 1.3.3. Stability of Solutions to Linear ODEs with Several Constant Delays -- 1.3.4. Stability Analysis of Solutions to Nonlinear Delay ODEs by the First Approximation -- 1.4. Exact and Approximate Analytical Solution Methods for Delay ODEs -- 1.4.1. Using Integral Transforms for Solving Linear Problems -- 1.4.2. Representation of Solutions as Power Series in the Independent Variable -- 1.4.3. Method of Regular Expansion in a Small Parameter. |
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| URL: | Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=7280127 |
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| Schlagwörter: | (s)Differentialgleichung mit nacheilendem Argument / (s)Exakte Lösung / (s)Nichtlineare partielle Differentialgleichung / (s)Separation <Mathematik> / (s)Variable / (s)Numerische Integration / (s)Mathematische Modellierung |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: Poljanin, Andrej D., 1951 - : Delay ordinary and partial differential equations. - First edition. - Boca Raton : CRC Press, 2024. - xviii, 415 Seiten |
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| K10plus-PPN: | 1856589447 |
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| Lokale URL UB: |  Zum Volltext |
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Delay ordinary and partial differential equations / Poljanin, Andrej D. [VerfasserIn]; 2024 (Online-Ressource)