Solution of Initial Value Problems in Classes of Generalized Analytic Functions

Name: Solution of Initial Value Problems in Classes of Generalized Analytic Functions
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540502166
Price: 276.01 RON
Availability: InStock

Autor: Wolfgang Tutschke

Limbă:

Legare: Carte broșată

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Disponibilitate: În depozitul extern

Expediem în 8-11 zile

276.01 lei

The purpose of the present book is to solve initial value problems in classes of generalized analyti...

Informații despre carte

Autor

Wolfgang Tutschke

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1989

Pagini

188

EAN

9783540502166

ISBN

3540502165

Enbook ID

02006910

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

224

Dimensiuni

133 x 203 x 11

Descriere completă

The purpose of the present book is to solve initial value problems in classes of generalized analytic functions as well as to explain the functional-analytic background material in detail. From the point of view of the theory of partial differential equations the book is intend ed to generalize the classicalCauchy-Kovalevskayatheorem, whereas the functional-analytic background connected with the method of successive approximations and the contraction-mapping principle leads to the con cept of so-called scales of Banach spaces: 1. The method of successive approximations allows to solve the initial value problem du CTf = f(t,u), (0. 1) u(O) = u , (0. 2) 0 where u = u(t) ist real o. r vector-valued. It is well-known that this method is also applicable if the function u belongs to a Banach space. A completely new situation arises if the right-hand side f(t,u) of the differential equation (0. 1) depends on a certain derivative Du of the sought function, i. e. , the differential equation (0,1) is replaced by the more general differential equation du dt = f(t,u,Du), (0. 3) There are diff. erential equations of type (0. 3) with smooth right-hand sides not possessing any solution to say nothing about the solvability of the initial value problem (0,3), (0,2), Assume, for instance, that the unknown function denoted by w is complex-valued and depends not only on the real variable t that can be interpreted as time but also on spacelike variables x and y, Then the differential equation (0.

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Solution of Initial Value Problems in Classes of Generalized Analytic Functions

Informații despre carte

Descriere completă

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și