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Synopsis
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.
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions.
ISBN 10 : 3540502165
ISBN 13 : 9783540502166
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20.5 × 13.5 cm, softcover, 188 pages, text in English, very good condition, see picture. First edition. A specialized monograph on the Cauchy problem in classes of generalized analytic functions, combining methods from partial differential equations and complex analysis, with applications to mathematical physics. 220g. N° de réf. du vendeur 80667
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions.
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Springer, Berlin, 1989
ISBN 10 : 3540502165
ISBN 13 : 9783540502166
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188 Seiten, 3540502165 Sprache: Englisch Gewicht in Gramm: 220 8°, Original-Karton (Softcover), Bibliotheks-Exemplar (ordnungsgemäß entwidmet) mit kleinem Rückenschild, Stempel auf Titel und auf Schnitt, insgesamt gutes und innen sauberes Exemplar, N° de réf. du vendeur 82277
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
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ISBN 10 : 3540502165
ISBN 13 : 9783540502166
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
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ISBN 10 : 3540502165
ISBN 13 : 9783540502166
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 equatio. N° de réf. du vendeur 4891496
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
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Springer Berlin Heidelberg, 1989
ISBN 10 : 3540502165
ISBN 13 : 9783540502166
Neuf
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783540502166
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
Vendeur : Toscana Books, AUSTIN, TX, Etats-Unis
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Paperback. Etat : new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. N° de réf. du vendeur Scanned3540502165
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 1989, 1989
ISBN 10 : 3540502165
ISBN 13 : 9783540502166
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 192 pp. Englisch. N° de réf. du vendeur 9783540502166
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
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Springer, 1989
ISBN 10 : 3540502165
ISBN 13 : 9783540502166
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. illustrated edition. 192 pages. 7.90x5.30x0.50 inches. In Stock. N° de réf. du vendeur x-3540502165
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