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

Volterra Integral and Functional Equations

• Broschiertes Buch

Produktbeschreibung

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

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 724
• Erscheinungstermin: 31. Oktober 2008
• Englisch
• Abmessung: 234mm x 156mm x 39mm
• Gewicht: 1080g
• ISBN-13: 9780521103060
• ISBN-10: 0521103061
• Artikelnr.: 26009586

Inhaltsangabe

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.