Functional methods in differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton
Chapman & Hall/CRC
2002
|
| Series: | Chapman & Hall CRC research notes in mathematics series
432 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xiii, 243 p. 24 cm |
| ISBN: | 1584882832 |
Staff View
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Record in the Search Index
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| adam_text | VELI-MATTI HOKKANEN GHEORGHE MORO§ANU UNIVERSITY OF JYVAESKYLAE UNIVERSITY
OF STUTTGART FUNCTIONAL METHODS IN DIFFERENTIAL EQUATIONS *H CHAPMAN &
HALL/CRC A CRC PRESS COMPANY BOCA RATON LONDON NEW YORK WASHINGTON, D.C.
CONTENTS INTRODUCTION IX 1 PRELIMINARIES 1 1.1 FUNCTION AND DISTRIBUTION
SPACES 1 1.2 MONOTONE OPERATORS, CONVEX FUNCTIONS, AND SUBDIFFERENTIALS
8 1.3 SOME ELEMENTS OF SPECTRAL THEORY 18 1.4 LINEAR EVOLUTION EQUATIONS
AND SEMIGROUPS 23 1.5 NONLINEAR EVOLUTION EQUATIONS 25 2 ELLIPTIC
BOUNDARY VALUE PROBLEMS 33 2.1 NONDEGENERATE ELLIPTIC BOUNDARY VALUE
PROBLEMS 33 2.2 DEGENERATE ELLIPTIC BOUNDARY VALUE PROBLEMS 40 3
PARABOLIC PROBLEMS WITH ALGEBRAIC BOUNDARY CONDITIONS 67 3.1 HOMOGENEOUS
BOUNDARY CONDITIONS 68 3.2 NONHOMOGENEOUS BOUNDARY CONDITIONS 75 3.3
HIGHER REGULARITY OF SOLUTIONS 81 4 PARABOLIC PROBLEMS WITH
ALGEBRAIC-DIFFERENTIAL BOUNDARY CONDITIONS 91 4.1 HOMOGENEOUS ALGEBRAIC
BOUNDARY CONDITION 93 4.2 NONHOMOGENEOUS ALGEBRAIC BOUNDARY CONDITION
100 4.3 HIGHER REGULARITY OF SOLUTIONS 104 5 HYPERBOLIC PROBLEMS WITH
ALGEBRAIC BOUNDARY CONDITIONS 109 5.1 EXISTENCE, UNIQUENESS, AND
LONG-TIME BEHAVIOR OF SOLUTIONS . 110 5.2 HIGHER REGULARITY OF SOLUTIONS
119 VIR VIII FUNCTIONAL METHODS IN DIFFERENTIAL EQUATIONS 6 HYPERBOLIC
PROBLEMS WITH ALGEBRAIC-DIFFERENTIAL BOUNDARY CONDITIONS 129 6.1
EXISTENCE, UNIQUENESS, AND LONG-TIME BEHAVIOR OF SOLUTIONS . 130 6.2
HIGHER REGULARITY OF SOLUTIONS 134 7 THE FOURIER METHOD FOR ABSTRACT
DIFFERENTIAL EQUATIONS 139 7.1 FIRST ORDCR LINEAR EQUATIONS 139 7.2
SEMILINEAR FIRST ORDER EQUATIONS 145 7.3 SECOND ORDER LINEAR EQUATIONS
148 7.4 SEMILINEAR SECOND ORDER EQUATIONS 154 8 THE SEMIGROUP APPROACH
FOR ABSTRACT DIFFERENTIAL EQUATIONS 157 8.1 SEMILINEAR FIRST ORDER
EQUATIONS 157 8.2 HYPERBOLIC PARTIAL DIFFERENTIAL SYSTEMS WITH NONLINEAR
BOUNDARY CONDITIONS 165 9 NONLINEAR NONAUTONOMOUS ABSTRACT DIFFERENTIAL
EQUATIONS 171 9.1 FIRST ORDER DIFFERENTIAL AND FUNCTIONAL EQUATIONS
CONTAINING SUBDIFFERENTIALS 172 9.2 AN APPLICATION 192 10 IMPLICIT
NONLINEAR DIFFERENTIAL EQUATIONS 203 10.1 EXISTENCE OF SOLUTION 205 10.2
UNIQUENESS OF SOLUTION 224 10.3 CONTINUOUS DEPENDENCE OF SOLUTION 229
10.4 EXISTENCE OF PERIODIC SOLUTIONS 238 INDEX 241
|
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| id | DE-604.BV014371437 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:02:09Z |
| institution | BVB |
| isbn | 1584882832 |
| language | English |
| lccn | 2002018853 |
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| owner_facet | DE-703 |
| physical | xiii, 243 p. 24 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series | Chapman & Hall CRC research notes in mathematics series |
| series2 | Chapman & Hall CRC research notes in mathematics series |
| spelling | Hokkanen, Veli-Matti Verfasser aut Functional methods in differential equations Veli-Matti Hokkanen, Morosanu, Gheorghe Boca Raton Chapman & Hall/CRC 2002 xiii, 243 p. 24 cm txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC research notes in mathematics series 432 Includes bibliographical references and index Boundary value problems Functional analysis Randwertproblem (DE-588)4048395-2 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Randwertproblem (DE-588)4048395-2 s Funktionalanalysis (DE-588)4018916-8 s DE-604 Moroşanu, Gheorghe Sonstige oth Chapman & Hall CRC research notes in mathematics series 432 (DE-604)BV012456897 432 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009844757&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hokkanen, Veli-Matti Functional methods in differential equations Chapman & Hall CRC research notes in mathematics series Boundary value problems Functional analysis Randwertproblem (DE-588)4048395-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4018916-8 |
| title | Functional methods in differential equations |
| title_auth | Functional methods in differential equations |
| title_exact_search | Functional methods in differential equations |
| title_full | Functional methods in differential equations Veli-Matti Hokkanen, Morosanu, Gheorghe |
| title_fullStr | Functional methods in differential equations Veli-Matti Hokkanen, Morosanu, Gheorghe |
| title_full_unstemmed | Functional methods in differential equations Veli-Matti Hokkanen, Morosanu, Gheorghe |
| title_short | Functional methods in differential equations |
| title_sort | functional methods in differential equations |
| topic | Boundary value problems Functional analysis Randwertproblem (DE-588)4048395-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Boundary value problems Functional analysis Randwertproblem Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009844757&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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