Inequalities for finite difference equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
2002
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| Schriftenreihe: | Pure and applied mathematics
247 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 514 S. |
| ISBN: | 0824706579 |
Internformat
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Datensatz im Suchindex
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| adam_text | INEQUALITIES FOR FINITE DIFFERENCE EQUATIONS B. G. PACHPATTE MARATHWADA
UNIVERSITY AURANGABAD, INDIA MARCEL DEKKER, INC. NEW YORK * BASEL
CONTENTS PREFACE III INTRODUCTION 1 CHAPTER 1 LINEAR FINITE DIFFERENCE
INEQUALITIES 10 1.1. INTRODUCTION 10 1.2. BASIC FINITE DIFFERENCE
INEQUALITIES 10 1.3. FURTHER FINITE DIFFERENCE INEQUALITIES 18 1.4.
PACHPATTE S INEQUALITIES I 25 1.5. PACHPATTE S INEQUALITIES II 36 1.6.
INEQUALITIES WITH ITERATED SUMS 45 1.7. APPLICATIONS 54 1.7.1.
PERTURBATION OF LINEAR DIFFERENCE EQUATIONS 54 1.7.2. PERTURBATION OF
NONLINEAR DIFFERENCE EQUATIONS 58 1.7.3. HIGHER ORDER DIFFERENCE
EQUATIONS 64 1.7.4. STOCHASTIC DIFFERENCE EQUATIONS 69 VI CONTENTS 1.8.
MISCELLANEOUS INEQUALITIES 78 NOTES 88 CHAPTER 2 NONLINEAR FINITE
DIFFERENCE INEQUALITIES I 89 2.1. INTRODUCTION 89 2.2. BASIC COMPARISON
THEOREMS 90 2.3. FUNDAMENTAL FINITE DIFFERENCE INEQUALITIES 103 2.4.
PACHPATTE S INEQUALITIES I 124 2.5. PACHPATTE S INEQUALITIES II 133 2.6.
INEQUALITIES INVOLVING ITERATED SUMS 148 2.7. APPLICATIONS 158 2.7.1.
STABILITY OF FINITE DIFFERENCE SYSTEMS 159 2.7.2. BEHAVIOR OF SOLUTIONS
OF SUM-DIFFERENCE AND DIFFERENCE EQUATIONS 163 2.7.3. BOUNDS FOR
SOLUTIONS OF CERTAIN DIFFERENCE EQUATIONS 172 2.7.4. PERTURBED
SUM-DIFFERENCE EQUATIONS 181 2.8. MISCELLANEOUS INEQUALITIES 190 NOTES
199 CHAPTER 3 NONLINEAR FINITE DIFFERENCE INEQUALITIES II 201 3.1.
INTRODUCTION 201 3.2. FINITE DIFFERENCE INEQUALITIES 202 3.3.
PACHPATTE S INEQUALITIES I 211 3.4. PACHPATTE S INEQUALITIES II 224 3.5.
PACHPATTE S INEQUALITIES III 243 3.6. INEQUALITIES INVOLVING ITERATED
SUMS 251 3.7. APPLICATIONS 268 3.7.1. VOLTERRA TYPE SUM-DIFFERENCE
EQUATIONS 269 3.7.2. PROPERTIES OF SOLUTIONS OF CERTAIN SUM-DIFFERENCE
EQUATIONS 272 3.7.3. SECOND ORDER DIFFERENCE EQUATIONS 275 3.7.4. BOUNDS
ON THE SOLUTIONS OF CERTAIN SUM-DIFFERENCE AND DIFFERENCE EQUATIONS 279
CONTENTS VII 3.8. NOTES MISCELLANEOUS INEQUALITIES CHAPTER 4 LINEAR
MULTIDIMENSIONAL FINITE 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. 4.8. NOTES
DIFFERENCE INEQUALITIES INTRODUCTION BASIC INEQUALITIES IN TWO
INDEPENDENT VARIABLES FURTHER INEQUALITIES IN TWO INDEPENDENT VARIABLES
PACHPATTE S INEQUALITIES I INEQUALITIES IN MANY VARIABLES PACHPATTE S
INEQUALITIES II APPLICATIONS 4.7.1. FINITE DIFFERENCE EQUATIONS IN TWO
INDEPENDENT VARIABLES 4.7.2. PERTURBATIONS OF FINITE DIFFERENCE
EQUATIONS IN TWO INDEPENDENT VARIABLES 4.7.3. ESTIMATES ON THE SOLUTIONS
OF CERTAIN SUM-DIFFERENCE EQUATIONS 4.7.4. FOURTH ORDER FINITE
DIFFERENCE EQUATIONS IN TWO INDEPENDENT VARIABLES MISCELLANEOUS
INEQUALITIES CHAPTER 5 NONLINEAR MULTIDIMENSIONAL FINITE DIFFERENCE
INEQUALITIES 5.1. 5.2. 5.3. 5.4. 5.5. 5.6. 5.7. INTRODUCTION FUNDAMENTAL
INEQUALITIES IN TWO INDEPENDENT VARIABLES GENERAL INEQUALITIES IN TWO
INDEPENDENT VARIABLES PACHPATTE S INEQUALITIES I PACHPATTE S
INEQUALITIES II MULTIDIMENSIONAL INEQUALITIES AOOLICATIONS 282 297 298
298 299 310 322 335 344 354 354 358 365 367 371 384 386 386 387 404 420
436 446 460 5.7.1. ESTIMATES ON THE SOLUTIONS OF SUM-DIFFERENCE
EQUATIONS 460 VIII CONTENTS 5.7.2. 5.7.3. 5.7.4. BOUNDS ON THE SOLUTIONS
OF CERTAIN DIFFERENCE EQUATIONS HIGHER ORDER FINITE DIFFERENCE EQUATIONS
SUM-DIFFERENCE EQUATIONS IN TWO INDEPENDENT VARIABLES 5.8. MISCELLANEOUS
INEQUALITIES NOTES REFERENCES AUTHOR INDEX SUBJECT INDEX 464 468 471 473
493 495 509 511
|
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| indexdate | 2024-07-09T18:57:45Z |
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| isbn | 0824706579 |
| language | English |
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| physical | VIII, 514 S. |
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| publishDateSearch | 2002 |
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| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Pachpatte, B. G. Verfasser aut Inequalities for finite difference equations B. G. Pachpatte New York [u.a.] Dekker 2002 VIII, 514 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 247 Différences finies ram Inégalités (mathématiques) ram Équations aux différences ram Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 s Ungleichung (DE-588)4139098-2 s DE-604 Pure and applied mathematics 247 (DE-604)BV000001885 247 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009664049&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pachpatte, B. G. Inequalities for finite difference equations Pure and applied mathematics Différences finies ram Inégalités (mathématiques) ram Équations aux différences ram Differenzengleichung (DE-588)4012264-5 gnd Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4012264-5 (DE-588)4139098-2 |
| title | Inequalities for finite difference equations |
| title_auth | Inequalities for finite difference equations |
| title_exact_search | Inequalities for finite difference equations |
| title_full | Inequalities for finite difference equations B. G. Pachpatte |
| title_fullStr | Inequalities for finite difference equations B. G. Pachpatte |
| title_full_unstemmed | Inequalities for finite difference equations B. G. Pachpatte |
| title_short | Inequalities for finite difference equations |
| title_sort | inequalities for finite difference equations |
| topic | Différences finies ram Inégalités (mathématiques) ram Équations aux différences ram Differenzengleichung (DE-588)4012264-5 gnd Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Différences finies Inégalités (mathématiques) Équations aux différences Differenzengleichung Ungleichung |
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