Volterra Integral and Functional Equationsby G. Gripenberg, S. O. Londen, O. Staffans
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.
- 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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