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Englisch
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Beschreibung
This book looks at the theories of Volterra integral and functional equations.
This book looks at the theories of Volterra integral and functional equations.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2008 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521103060 |
ISBN-10: | 0521103061 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Gripenberg, G.
Londen, S. O. Staffans, O. |
Hersteller: | Cambridge University Press |
Maße: | 234 x 156 x 39 mm |
Von/Mit: | G. Gripenberg (u. a.) |
Erscheinungsdatum: | 31.10.2008 |
Gewicht: | 1,08 kg |
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2008 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521103060 |
ISBN-10: | 0521103061 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Gripenberg, G.
Londen, S. O. Staffans, O. |
Hersteller: | Cambridge University Press |
Maße: | 234 x 156 x 39 mm |
Von/Mit: | G. Gripenberg (u. a.) |
Erscheinungsdatum: | 31.10.2008 |
Gewicht: | 1,08 kg |
Warnhinweis