Generalized solutions of functional differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1993
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 410 S. |
| ISBN: | 9810212070 |
Internformat
MARC
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| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1993 | |
| 300 | |a XIII, 410 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 4 | |a Functional differential equations |x Numerical solutions | |
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Datensatz im Suchindex
| _version_ | 1804127409278025728 |
|---|---|
| adam_text | Contents
Preface ;x
Chapter | Differential Equations with Piecewise
A Continuous Arguments 1
1.1 Linear Retarded EPCA with Constant Coefficients 4
1.2 Some Generalizations 16
1.3 EPCA of Advanced, Mixed, and Neutral Types 28
1.4 Asymptotic Behavior of Linear EPCA with
Variable Coefficients 51
1.5 Stability as a Function of Delay 68
1.6 EPCA and Impulsive Equations 72
Chapter^ Oscillatory and Periodic Solutions of
te Differential Equations with Piecewise
Continuous Arguments 81
2.1 Differential Inequalities with Piecewise
Continuous Arguments 82
2.2 Oscillatory Properties of First Order Linear
Functional Differential Equations 91
vi CONTENTS
2.3 Oscillatory and Periodic Solutions of Delay EPCA 107
2.4 Differential Equations Alternately of Retarded
and Advanced Type 114
2.5 Oscillations in Systems of Differential Equations
with Piecewise Continuous Arguments 137
2.6 A Piecewise Constant Analogue of a Famous FDE 157
Chapter O Partial Differential Equations with
%J Piecewise Continuous Delay 163
3.1 Boundary Value Problems for Partial Differential
Equations with Piecewise Constant Delay 164
3.2 Initial Value Problems for Partial Differential
Equations with Piecewise Constant Delay 178
3.3 A Wave Equation with Discontinuous Time Delay 190
3.4 Bounded Solutions of Retarded Nonlinear Hyper¬
bolic Equations 201
Chapter A Reducible Functional Differential
^ Equations 213
4.1 Differential Equations with Involutions 213
4.2 Linear Equations 222
4.3 Bounded Solutions for Differential Equations with
Reflection of the Argument 235
4.4 Equations with Rotation of the Argument 241
4.5 Boundary Value Problems for Differential
Equations with Reflection of the Argument 249
4.6 Partial Differential Equations with Involutions 265
CONTENTS vi
Chapter J? Analytic and Distributional Solutions
sj of Functional Differential Equations 271
5.1 Holomorphic Solutions of Nonlinear Neutral
Equations 272
5.2 Holomorphic Solutions of Nonlinear Advanced
Equations 275
5.3 Analytic and Entire Solutions of Linear Systems 279
5.4 Finite Order Distributional Solutions 292
5.5 Infinite Order Distributional Solutions 309
5.6 An Integral Equation in the Space of Tempered
Distributions 321
Chapter C. Coexistence of Analytic and
3 Distributional Solutions for Linear
Differential Equations 325
6.1 Distributional, Rational, and Polynomial
Solutions of Linear ODE 326
6.2 Application to Orthogonal Polynomials 330
6.3 Interesting Properties of Laguerre s Equation 340
6.4 The Hypergeometric and Other Equations 347
6.5 The Confluent Hypergeometric Equation 359
6.6 Infinite Order Distributional Solutions Revisited 364
Open Problems 379
Bibliography 381
Author Index 399
Subject Index 403
|
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| author | Wiener, Joseph |
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| classification_rvk | SK 500 |
| ctrlnum | (OCoLC)28182001 (DE-599)BVBBV012741522 |
| dewey-full | 515/.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.352 |
| dewey-search | 515/.352 |
| dewey-sort | 3515 3352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012741522 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:32:53Z |
| institution | BVB |
| isbn | 9810212070 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008664277 |
| oclc_num | 28182001 |
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| owner | DE-703 DE-20 DE-11 DE-188 |
| owner_facet | DE-703 DE-20 DE-11 DE-188 |
| physical | XIII, 410 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Wiener, Joseph Verfasser aut Generalized solutions of functional differential equations Joseph Wiener Singapore [u.a.] World Scientific 1993 XIII, 410 S. txt rdacontent n rdamedia nc rdacarrier Functional differential equations Numerical solutions Funktional-Differentialgleichung (DE-588)4155668-9 gnd rswk-swf Funktional-Differentialgleichung (DE-588)4155668-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008664277&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wiener, Joseph Generalized solutions of functional differential equations Functional differential equations Numerical solutions Funktional-Differentialgleichung (DE-588)4155668-9 gnd |
| subject_GND | (DE-588)4155668-9 |
| title | Generalized solutions of functional differential equations |
| title_auth | Generalized solutions of functional differential equations |
| title_exact_search | Generalized solutions of functional differential equations |
| title_full | Generalized solutions of functional differential equations Joseph Wiener |
| title_fullStr | Generalized solutions of functional differential equations Joseph Wiener |
| title_full_unstemmed | Generalized solutions of functional differential equations Joseph Wiener |
| title_short | Generalized solutions of functional differential equations |
| title_sort | generalized solutions of functional differential equations |
| topic | Functional differential equations Numerical solutions Funktional-Differentialgleichung (DE-588)4155668-9 gnd |
| topic_facet | Functional differential equations Numerical solutions Funktional-Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008664277&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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