Name: differential equations with operator coefficients
Price: 120.19 EUR
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Author: kozlov,maz&quot,ya
ISBN: 9783540651192

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portada differential equations with operator coefficients

differential equations with operator coefficients

Type

Physical Book

Publisher

Springer

Author

kozlov,maz&quot,ya

Language

English

Pages

442

ISBN

3540651195

ISBN13

9783540651192

Synopsis "differential equations with operator coefficients"

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.