Functional differential equation: advances and applications Corduneanu, Constantin

Table of Contents:

Preface

Acknowledgments

1. Introduction, Classification, Short History, Auxiliary Results, and Methods

2. Existence Theory for Functional Equations

3. Stability Theory of Functional Differential Equations

4. Oscillatory Motion, with Special Regard to the Almost Periodic Case

5. Neutral Functional Differential Equations

Appendix A On the Third Stage of Fourier Analysis

Bibliography

Index

Features new results and up-to-date advances in modeling and solving differential equations
Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations.
The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features:
• Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types
• Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines
• Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay
• An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity
• An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration
Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes.

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