Volterra Integral Equations
eBook - PDF

Volterra Integral Equations

An Introduction to Theory and Applications

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Volterra Integral Equations

An Introduction to Theory and Applications

About this book

This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.

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Yes, you can access Volterra Integral Equations by Hermann Brunner in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title page
  3. Series page
  4. Title page
  5. Copyright page
  6. Contents
  7. Preface
  8. 1 Linear Volterra Integral Equations
  9. 2 Regularity of Solutions
  10. 3 Non-Linear Volterra Integral Equations
  11. 4 Volterra Integral Equations with Highly Oscillatory Kernels
  12. 5 Singularly Perturbed and Integral-Algebraic Volterra Equations
  13. 6 Qualitative Theory of Volterra Integral Equations
  14. 7 Cordial Volterra Integral Equations
  15. 8 Volterra Integral Operators on Banach Spaces
  16. 9 Applications of Volterra Integral Equations
  17. Appendix A Review of Banach Space Tools
  18. References
  19. Index