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Opis

This book is the first systematic and self-contained presentation of a theory of arbitrary order ordinary differential equations with unbounded operator coefficients in a Hilbert or Banach space, developed over the last 10 years by the authors. It deals with conditions of solvability, classes of uniqueness, estimates for solutions and asymptotic representations of solutions at infinity. The authors show how the classical asymptotic theory of ODEs. with scalar coefficients can be extended to very general equations with unbounded operator coefficients. In contrast to other works the authors' approach enables them to obtain asymptotic formulae for solutions under weak conditions on the coefficients of equations. The abstract results are complemented by many new applications to the theory of PDEs. An appendix provides a systematic treatment of the theory of holomorphic operator functions.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Differential Equations with Operator Coefficients
• Autor: Vladimir Kozlov, Vladimir G. Maz'ya
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 444
• EAN: 9783540651192
• ISBN: 3540651195
• ID: 05274887
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 1830 g
• Wymiary: 235 × 155 × 32 mm
• Data wydania: 19. January 1999

Ulubione w innej kategorii

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