Functional Differential Equations with Infinite Delay

1. Front Matter

   Pages I-X

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2. Phase Spaces

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 1-34

3. Fundamental theorems

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 35-52

4. Stieltjes integrals and linear operators on ℬ

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 53-98

5. General linear systems

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 99-129

6. Linear autonomous systems

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 130-176

7. Linear periodic systems

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 177-186

8. Fading memory spaces and functional differential equations

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 187-214

9. Stabilities in perturbed systems and limiting equations

   • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

   Pages 215-253

10. Existence of periodic solutions and almost periodic solutions

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

    Pages 254-276

11. Back Matter

    Pages 277-317

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In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.

• Analysis
• Differentialgleichungen
• Functional differential equations
• delay differential equations
• differential equation
• functional analysis
• periodic equations
• stability

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