Oscillation theory of differential equations with deviating arguments:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Dekker
1987
|
| Series: | Pure and applied mathematics
110. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 308 S. |
| ISBN: | 0824777387 |
Staff View
MARC
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| 100 | 1 | |a Ladde, Gangaram S. |d 1940- |e Verfasser |0 (DE-588)1026102693 |4 aut | |
| 245 | 1 | 0 | |a Oscillation theory of differential equations with deviating arguments |c G. S. Ladde ; V. Lakshmikantham ; B. G. Zhang |
| 264 | 1 | |a New York u.a. |b Dekker |c 1987 | |
| 300 | |a VI, 308 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 110. | |
| 650 | 0 | 7 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |D s |
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| 700 | 1 | |a Lakshmikantham, Vangipuram |d 1926-2012 |e Verfasser |0 (DE-588)104268050 |4 aut | |
| 700 | 1 | |a Zhang, Binggen G. |e Verfasser |4 aut | |
| 830 | 0 | |a Pure and applied mathematics |v 110. |w (DE-604)BV000001885 |9 110. | |
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Record in the Search Index
| _version_ | 1826831281576476672 |
|---|---|
| adam_text |
Contents
PREFACE ill
1 PRELIMINARIES 1
1.0 Introduction 1
1.1 Initial Value Problems 1
1. 2 Definition of Oscillation 5
1.3 Review of the Oscillation Theory of ODE 6
1.4 Some Oscillatory and Nonoscillatory Phenomena
Caused by Deviating Arguments 8
1.5 Some Fixed Point Theorems 10
1.6 Notes 14
2 FIRST ORDER LINEAR EQUATIONS 15
2.0 Introduction 15
2.1 Stable Type Equations with a Single Delay 15
2. 2 Equations with Oscillating Coefficients 26
2.3 Unstable Type Equations with a Single Delay 30
2.4 Unstable Type Equations with a Single Advanced Argument 35
2.5 Stable Equations with a Single Advanced Argument 40
2. 6 Equations with Several Deviating Arguments and
Constant Coefficients 42
2. 7 Equations with Several Deviating Arguments and
Variable Coefficients 51
2. 8 Equations with Forcing Terms 61
2.9 Equations with Distributed Type Deviating Arguments 63
2.10 Notes 68
3 FIRST ORDER NONLINEAR EQUATIONS 70
3.0 Introduction 70
3.1 Equations with Deviating Arguments 70
3. 2 Differential Inequalities with Deviating Arguments 78
3.3 Mixed Type Differential Equations 89
3.4 Functional Differential Equations 94
3.5 Positive Solutions of Superlinear Equations 100
v
vi Contents
3.6 General Nonlinear Equations 103
3. 7 Nonlinear Equations with Forcing Terms 108
3.8 Equations with Distributed Type Deviating Arguments 110
3. 9 Equations with Distributed Type
Deviating Arguments (continued) 114
3.10 Oscillation on Both Sides 119
3.11 Notes 122
4 SECOND ORDER DIFFERENTIAL EQUATIONS 123
4.0 Introduction 123
4.1 Classification of Solutions of Linear Equations 123
4. 2 The Existence of Solutions of a Class of Boundary
Value Problems 130
4.3 The Existence of Bounded Oscillatory Solutions 134
4.4 Classification of Solutions of Nonlinear Equations 139
r°°
4.5 Nonlinear Equations with I ds/r(s) = °° 142
4.6 Nonlinear Equations with J ds/r(s) °° 155
4. 7 Equations with Deviating Argument 162
4.8 Notes 177
5 HIGHER ORDER DIFFERENTIAL EQUATIONS 179
5.0 Introduction 179
5.1 Third and Fourth Order Differential Equations
with Deviating Arguments 179
5.2 Even Order Equations with Deviating Arguments 192
5. 3 Linear Differential Equations and Inequalities
with Deviating Arguments 202
5.4 A Class of Arbitrary Order Delay Equations 218
5. 5 Equations with Deviating Arguments of Mixed Type 226
5. 6 Nonlinear Differential Inequalities
with Deviating Arguments 236
5. 7 Equations with Forcing Terms 243
5.8 Notes 248
6 SYSTEMS OF DIFFERENTIAL EQUATIONS 249
6.0 Introduction 249
6. 1 Two Dimensional Linear Systems 249
6. 2 Nonlinear Systems of Special Form 259
6.3 Linear Delay Systems 271
6.4 Oscillation of High Order Nonlinear Systems 279
6.5 Notes 286
REFERENCES 287
INDEX 307 |
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| id | DE-604.BV003506860 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-17T09:01:13Z |
| institution | BVB |
| isbn | 0824777387 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002223892 |
| oclc_num | 246623845 |
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| physical | VI, 308 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Ladde, Gangaram S. 1940- Verfasser (DE-588)1026102693 aut Oscillation theory of differential equations with deviating arguments G. S. Ladde ; V. Lakshmikantham ; B. G. Zhang New York u.a. Dekker 1987 VI, 308 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 110. Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s DE-604 Lakshmikantham, Vangipuram 1926-2012 Verfasser (DE-588)104268050 aut Zhang, Binggen G. Verfasser aut Pure and applied mathematics 110. (DE-604)BV000001885 110. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002223892&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ladde, Gangaram S. 1940- Lakshmikantham, Vangipuram 1926-2012 Zhang, Binggen G. Oscillation theory of differential equations with deviating arguments Pure and applied mathematics Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4199298-2 |
| title | Oscillation theory of differential equations with deviating arguments |
| title_auth | Oscillation theory of differential equations with deviating arguments |
| title_exact_search | Oscillation theory of differential equations with deviating arguments |
| title_full | Oscillation theory of differential equations with deviating arguments G. S. Ladde ; V. Lakshmikantham ; B. G. Zhang |
| title_fullStr | Oscillation theory of differential equations with deviating arguments G. S. Ladde ; V. Lakshmikantham ; B. G. Zhang |
| title_full_unstemmed | Oscillation theory of differential equations with deviating arguments G. S. Ladde ; V. Lakshmikantham ; B. G. Zhang |
| title_short | Oscillation theory of differential equations with deviating arguments |
| title_sort | oscillation theory of differential equations with deviating arguments |
| topic | Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Differentialgleichung mit nacheilendem Argument |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002223892&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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