Ebook: Nonoscillation Theory of Functional Differential Equations with Applications
- Tags: Partial Differential Equations, Special Functions, Functional Analysis
- Year: 2012
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material.
Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material.
Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.?
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material.
Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.?
Content:
Front Matter....Pages I-XV
Introduction to Oscillation Theory....Pages 1-21
Scalar Delay Differential Equations on Semiaxes....Pages 23-58
Scalar Delay Differential Equations on Semiaxis with Positive and Negative Coefficients....Pages 59-81
Oscillation of Equations with Distributed Delays....Pages 83-121
Scalar Advanced and Mixed Differential Equations on Semiaxes....Pages 123-147
Neutral Differential Equations....Pages 149-170
Second-Order Delay Differential Equations....Pages 171-192
Second-Order Delay Differential Equations with Damping Terms....Pages 193-206
Vector Delay Differential Equations....Pages 207-239
Linearization Methods for Nonlinear Equations with a Distributed Delay....Pages 241-262
Nonlinear Models—Modifications of Delay Logistic Equations....Pages 263-284
First-Order Linear Delay Impulsive Differential Equations....Pages 285-300
Second-Order Linear Delay Impulsive Differential Equations....Pages 301-318
Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations....Pages 319-337
Maximum Principles and Nonoscillation Intervals....Pages 339-398
Systems of Functional Differential Equations on Finite Intervals....Pages 399-428
Nonoscillation Intervals for n-th-Order Equations....Pages 429-454
Back Matter....Pages 455-520
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material.
Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.?
Content:
Front Matter....Pages I-XV
Introduction to Oscillation Theory....Pages 1-21
Scalar Delay Differential Equations on Semiaxes....Pages 23-58
Scalar Delay Differential Equations on Semiaxis with Positive and Negative Coefficients....Pages 59-81
Oscillation of Equations with Distributed Delays....Pages 83-121
Scalar Advanced and Mixed Differential Equations on Semiaxes....Pages 123-147
Neutral Differential Equations....Pages 149-170
Second-Order Delay Differential Equations....Pages 171-192
Second-Order Delay Differential Equations with Damping Terms....Pages 193-206
Vector Delay Differential Equations....Pages 207-239
Linearization Methods for Nonlinear Equations with a Distributed Delay....Pages 241-262
Nonlinear Models—Modifications of Delay Logistic Equations....Pages 263-284
First-Order Linear Delay Impulsive Differential Equations....Pages 285-300
Second-Order Linear Delay Impulsive Differential Equations....Pages 301-318
Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations....Pages 319-337
Maximum Principles and Nonoscillation Intervals....Pages 339-398
Systems of Functional Differential Equations on Finite Intervals....Pages 399-428
Nonoscillation Intervals for n-th-Order Equations....Pages 429-454
Back Matter....Pages 455-520
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