Nonlinear Integral Equations on Time Scales

Svetlin G. Georgiev
Sorbonne University, Paris, France
Faculty of Mathematics and Informatics, Department of Differential Equations, Sofia University, Sofia, Bulgaria
Inci M. Erhan
Atilim University, Department of Mathematics, Ankara, Turkey

Series: Theoretical and Applied Mathematics
BISAC: MAT003000

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This book presents an introduction to the theory of nonlinear integral equations on time scales. Many population discrete models such as the logistic model, the Ricker model, the Beverton-Holt model, Leslie-Gower competition model and others can be investigated using nonlinear integral equations on the set of the natural numbers. This book contains different analytical and numerical methods for investigation of nonlinear integral equations on time scales. It is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences willfind many sections of direct relevance. This book contains nine chapters, and each chapter consists of numerous examples and exercises.
(Imprint: Nova)

Preface

Chapter 1. Preliminaries

Chapter 2. Nonlinear Volterra Integral Equations

Chapter 3. Systems of Nonlinear Volterra Integral Equations

Chapter 4. Nonlinear Volterra Integro-Dynamic Equations

Chapter 5. Systems of Nonlinear Volterra Integro-Dynamic Equations

Chapter 6. Nonlinear Fredholm Integral Equations

Chapter 7. Systems of Nonlinear Fredholm Integral Equations

Chapter 8. Nonlinear Fredholm Integro-Dynamic Equations

Chapter 9. Applications

Argument

References

Index

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