Volterra Integral and Functional Equations

Volterra Integral and Functional Equations

by G. Gripenberg, S. O. Londen, O. Staffans

ISBN-10: 0521372895

ISBN-13: 9780521372893

Pub. Date: 04/28/2007

Publisher: Cambridge University Press

This book looks at the theories of Volterra integral and functional equations.  See more details below


This book looks at the theories of Volterra integral and functional equations.

Product Details

Cambridge University Press
Publication date:
Encyclopedia of Mathematics and its Applications Series, #34
Product dimensions:
6.14(w) x 9.21(h) x 1.57(d)

Table of Contents

Preface; List of symbols; 1. Introduction and overview; Part I. Linear Theory: 2. Linear convolution integral equations; 3. Linear integrodifferential convolution equations; 4. Equations in weighted spaces; 5. Completely monotone kernels; 6. Nonintegrable kernels with integrable resolvents; 7. Unbounded and unstable solutions; 8. Volterra equations as semigroups; 9. Linear nonconvolution equations; 10. Linear nonconvolution equations with measure kernels; Part II. General Nonlinear Theory: 11. Perturbed linear equations; 12. Existence of solutions of nonlinear equations; 13. Continuous dependence, differentiability and uniqueness; 14. Lyapunov techniques; 15. General asymptotics; Part III. Frequency Domain and Monotonicity Techniques: 16. Convolution kernels of positive type; 17. Frequency domain methods: basic results; 18. Frequency domain methods: additional results; 19. Combined Lyapunov and frequency domain methods; 20. Monotonicity methods; Bibliography; Index.

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