Integral and finite difference inequalities and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier
2006
|
| Edition: | 1. ed. |
| Series: | North-Holland mathematics studies
205 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 309 S. |
| ISBN: | 9780444527622 0444527621 |
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MARC
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| 245 | 1 | 0 | |a Integral and finite difference inequalities and applications |c B. G. Pachpatte |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 2006 | |
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| 490 | 1 | |a North-Holland mathematics studies |v 205 | |
| 650 | 4 | |a Differential inequalities | |
| 650 | 4 | |a Differentialungleichung | |
| 650 | 4 | |a Finite differences | |
| 650 | 4 | |a Finite-Differenzen-Methode | |
| 650 | 4 | |a Integral inequalities | |
| 650 | 4 | |a Integralungleichung | |
| 650 | 4 | |a Integralungleichung | |
| 650 | 4 | |a Differential inequalities | |
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| 650 | 4 | |a Integral inequalities | |
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Record in the Search Index
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| adam_text | INTEGRAL AND FINITE DIFFERENCE INEQUALITIES AND APPLICATIONS B.G.
PACHPATTE 57 SHRI NIKETAN COLONY NEAR ABHINAY TALKIES AURANGABAD 431 001
MAHARASHTRA INDIA ELSEVIER AMSTERDAM - BOSTON - HEIDELBERG - LONDON -
NEW YORK - OXFORD PARIS - SAN DIEGO - SAN FRANCISCO - SINGAPORE - SYDNEY
- TOKYO CONTENTS PREFACE VII INTRODUCTION 1 CHAPTER 1. INTEGRAL
INEQUALITIES IN ONE VARIABLE 9 1.1. INTRODUCTION 9 1.2. BASIC NONLINEAR
INTEGRAL INEQUALITIES 9 1.3. MORE NONLINEAR INTEGRAL INEQUALITIES 19
1.4. INEQUALITIES WITH ITERATED INTEGRALS 29 1.5. BOUNDS ON CERTAIN
INTEGRAL INEQUALITIES 40 1.6. APPLICATIONS 53 1.6.1. NONLINEAR INTEGRAL
AND DIFFERENTIAL EQUATIONS 53 1.6.2. ITERATED VOLTERRA INTEGRAL EQUATION
55 1.6.3. GENERAL VOLTERRA-FREDHOLM INTEGRAL EQUATION 57 1.6.4. TERMINAL
VALUE PROBLEM 58 1.7. NOTES 61 CHAPTER 2. INTEGRAL INEQUALITIES IN TWO
VARIABLES 63 2.1. INTRODUCTION 63 2.2. SOME NONLINEAR INTEGRAL
INEQUALITIES 63 2.3. FURTHER NONLINEAR INTEGRAL INEQUALITIES 73 2.4.
INEQUALITIES INVOLVING ITERATED INTEGRALS 84 2.5. ESTIMATES ON SOME
INTEGRAL INEQUALITIES 95 2.6. APPLICATIONS . ....115 2.6.1. * NONLINEAR
PARTIAL DIFFERENTIAL EQUATION 115 2.6.2. HYPERBOLIC PARTIAL DIFFERENTIAL
EQUATIONS WITH TERMINAL VALUES 117 2.6.3. NON-SELF-ADJOINT HYPERBOLIC
PARTIAL FREDHOLM INTEGRODIFFERENTIAL EQUATION 119 2.6.4.
VOLTERRA-FREDHOLM INTEGRAL EQUATION 123 2.7. NOTES 125 CHAPTER 3.
RETARDED INTEGRAL INEQUALITIES 127 3.1. INTRODUCTION 127 3.2. BASIC
RETARDED INTEGRAL INEQUALITIES IN ONE VARIABLE 127 3.3. FURTHER RETARDED
INTEGRAL INEQUALITIES IN ONE VARIABLE 142 3.4. RETARDED INTEGRAL
INEQUALITIES IN TWO VARIABLES 155 3.5. MORE RETARDED INTEGRAL
INEQUALITIES IN TWO VARIABLES 167 3.6. APPLICATIONS 180 IX X CONTENTS
3.6.1. DIFFERENTIAL EQUATIONS WITH MANY RETARDED ARGUMENTS 181 3.6.2.
RETARDED DIFFERENTIAL AND INTEGRODIFFERENTIAL EQUATIONS 183 3.6.3.
RETARDED PARTIAL DIFFERENTIAL EQUATIONS IN TWO VARIABLES -187 3.6.4.
RETARDED VOLTERRA-FREDHOLM INTEGRAL EQUATION IN TWO VARIABLES 191 3.7.
NOTES 196 CHAPTER 4. FINITE DIFFERENCE INEQUALITIES IN ONE VARIABLE 197
4.1. INTRODUCTION 197 4.2. FUNDAMENTAL FINITE DIFFERENCE INEQUALITIES
197 4.3. SOME MORE FINITE DIFFERENCE INEQUALITIES 205 4.4. FINITE
DIFFERENCE INEQUALITIES WITH ITERATED SUMS 214 4.5. BOUNDS ON CERTAIN
FINITE DIFFERENCE INEQUALITIES 224 4.6. APPLICATIONS 234 4.6.1.
PERTURBED DIFFERENCE EQUATIONS 234 4.6.2. VOLTERRA TYPE DIFFERENCE
EQUATIONS INVOLVING ITERATED SUMS 236 4.6.3. VOLTERRA-FREDHOLM TYPE
SUM-DIFFERENCE EQUATIONS 237 4.6.4. FREDHOLM TYPE SUM-DIFFERENCE
EQUATIONS 238 4.7. NOTES 241 CHAPTER 5. FINITE DIFFERENCE INEQUALITIES
IN TWO VARIABLES 243 5.1. INTRODUCTION 243 5.2. SOME BASIC FINITE
DIFFERENCE INEQUALITIES 243 5.3. FURTHER FINITE DIFFERENCE INEQUALITIES
255 5.4. ESTIMATES ON CERTAIN FINITE DIFFERENCE INEQUALITIES 1 266 5.5.
ESTIMATES ON CERTAIN FINITE DIFFERENCE INEQUALITIES II 286 5.6.
APPLICATIONS 294 5.6.1. PARTIAL FINITE DIFFERENCE EQUATIONS 294 5.6.2.
VOLTERRA TYPE SUM-DIFFERENCE EQUATION 296 5.6.3. PARTIAL FINITE
SUM-DIFFERENCE EQUATION 298 5.6.4. SUM-DIFFERENCE EQUATIONS OF
VOLTERRA-FREDHOLM TYPE 300 5.7. NOTES 303 REFERENCES 304 INDEX 308
|
| adam_txt |
INTEGRAL AND FINITE DIFFERENCE INEQUALITIES AND APPLICATIONS B.G.
PACHPATTE 57 SHRI NIKETAN COLONY NEAR ABHINAY TALKIES AURANGABAD 431 001
MAHARASHTRA INDIA ELSEVIER AMSTERDAM - BOSTON - HEIDELBERG - LONDON -
NEW YORK - OXFORD PARIS - SAN DIEGO - SAN FRANCISCO - SINGAPORE - SYDNEY
- TOKYO CONTENTS PREFACE VII INTRODUCTION 1 CHAPTER 1. INTEGRAL
INEQUALITIES IN ONE VARIABLE 9 1.1. INTRODUCTION 9 1.2. BASIC NONLINEAR
INTEGRAL INEQUALITIES 9 1.3. MORE NONLINEAR INTEGRAL INEQUALITIES 19
1.4. INEQUALITIES WITH ITERATED INTEGRALS 29 1.5. BOUNDS ON CERTAIN
INTEGRAL INEQUALITIES 40 1.6. APPLICATIONS 53 1.6.1. NONLINEAR INTEGRAL
AND DIFFERENTIAL EQUATIONS 53 1.6.2. ITERATED VOLTERRA INTEGRAL EQUATION
55 1.6.3. GENERAL VOLTERRA-FREDHOLM INTEGRAL EQUATION 57 1.6.4. TERMINAL
VALUE PROBLEM 58 1.7. NOTES 61 CHAPTER 2. INTEGRAL INEQUALITIES IN TWO
VARIABLES 63 2.1. INTRODUCTION 63 2.2. SOME NONLINEAR INTEGRAL
INEQUALITIES 63 2.3. FURTHER NONLINEAR INTEGRAL INEQUALITIES 73 2.4.
INEQUALITIES INVOLVING ITERATED INTEGRALS 84 2.5. ESTIMATES ON SOME
INTEGRAL INEQUALITIES 95 2.6. APPLICATIONS .'.115 2.6.1. * NONLINEAR
PARTIAL DIFFERENTIAL EQUATION 115 2.6.2. HYPERBOLIC PARTIAL DIFFERENTIAL
EQUATIONS WITH TERMINAL VALUES 117 2.6.3. NON-SELF-ADJOINT HYPERBOLIC
PARTIAL FREDHOLM INTEGRODIFFERENTIAL EQUATION 119 2.6.4.
VOLTERRA-FREDHOLM INTEGRAL EQUATION 123 2.7. NOTES 125 CHAPTER 3.
RETARDED INTEGRAL INEQUALITIES 127 3.1. INTRODUCTION 127 3.2. BASIC
RETARDED INTEGRAL INEQUALITIES IN ONE VARIABLE 127 3.3. FURTHER RETARDED
INTEGRAL INEQUALITIES IN ONE VARIABLE 142 3.4. RETARDED INTEGRAL
INEQUALITIES IN TWO VARIABLES 155 3.5. MORE RETARDED INTEGRAL
INEQUALITIES IN TWO VARIABLES 167 3.6. APPLICATIONS 180 IX X CONTENTS
3.6.1. DIFFERENTIAL EQUATIONS WITH MANY RETARDED ARGUMENTS 181 3.6.2.
RETARDED DIFFERENTIAL AND INTEGRODIFFERENTIAL EQUATIONS 183 3.6.3.
RETARDED PARTIAL DIFFERENTIAL EQUATIONS IN TWO VARIABLES -187 3.6.4.
RETARDED VOLTERRA-FREDHOLM INTEGRAL EQUATION IN TWO VARIABLES 191 3.7.
NOTES 196 CHAPTER 4. FINITE DIFFERENCE INEQUALITIES IN ONE VARIABLE 197
4.1. INTRODUCTION 197 4.2. FUNDAMENTAL FINITE DIFFERENCE INEQUALITIES
197 4.3. SOME MORE FINITE DIFFERENCE INEQUALITIES 205 4.4. FINITE
DIFFERENCE INEQUALITIES WITH ITERATED SUMS 214 4.5. BOUNDS ON CERTAIN
FINITE DIFFERENCE INEQUALITIES 224 4.6. APPLICATIONS 234 4.6.1.
PERTURBED DIFFERENCE EQUATIONS 234 4.6.2. VOLTERRA TYPE DIFFERENCE
EQUATIONS INVOLVING ITERATED SUMS 236 4.6.3. VOLTERRA-FREDHOLM TYPE
SUM-DIFFERENCE EQUATIONS 237 4.6.4. FREDHOLM TYPE SUM-DIFFERENCE
EQUATIONS 238 4.7. NOTES 241 CHAPTER 5. FINITE DIFFERENCE INEQUALITIES
IN TWO VARIABLES 243 5.1. INTRODUCTION 243 5.2. SOME BASIC FINITE
DIFFERENCE INEQUALITIES 243 5.3. FURTHER FINITE DIFFERENCE INEQUALITIES
255 5.4. ESTIMATES ON CERTAIN FINITE DIFFERENCE INEQUALITIES 1 266 5.5.
ESTIMATES ON CERTAIN FINITE DIFFERENCE INEQUALITIES II 286 5.6.
APPLICATIONS 294 5.6.1. PARTIAL FINITE DIFFERENCE EQUATIONS 294 5.6.2.
VOLTERRA TYPE SUM-DIFFERENCE EQUATION 296 5.6.3. PARTIAL FINITE
SUM-DIFFERENCE EQUATION 298 5.6.4. SUM-DIFFERENCE EQUATIONS OF
VOLTERRA-FREDHOLM TYPE 300 5.7. NOTES 303 REFERENCES 304 INDEX 308 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| index_date | 2024-07-02T17:50:28Z |
| indexdate | 2024-07-09T20:58:40Z |
| institution | BVB |
| isbn | 9780444527622 0444527621 |
| language | English |
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| physical | X, 309 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Elsevier |
| record_format | marc |
| series | North-Holland mathematics studies |
| series2 | North-Holland mathematics studies |
| spelling | Pachpatte, Baburao G. 1943- Verfasser (DE-588)130492612 aut Integral and finite difference inequalities and applications B. G. Pachpatte 1. ed. Amsterdam [u.a.] Elsevier 2006 X, 309 S. txt rdacontent n rdamedia nc rdacarrier North-Holland mathematics studies 205 Differential inequalities Differentialungleichung Finite differences Finite-Differenzen-Methode Integral inequalities Integralungleichung North-Holland mathematics studies 205 (DE-604)BV000003247 205 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015694410&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pachpatte, Baburao G. 1943- Integral and finite difference inequalities and applications North-Holland mathematics studies Differential inequalities Differentialungleichung Finite differences Finite-Differenzen-Methode Integral inequalities Integralungleichung |
| title | Integral and finite difference inequalities and applications |
| title_auth | Integral and finite difference inequalities and applications |
| title_exact_search | Integral and finite difference inequalities and applications |
| title_exact_search_txtP | Integral and finite difference inequalities and applications |
| title_full | Integral and finite difference inequalities and applications B. G. Pachpatte |
| title_fullStr | Integral and finite difference inequalities and applications B. G. Pachpatte |
| title_full_unstemmed | Integral and finite difference inequalities and applications B. G. Pachpatte |
| title_short | Integral and finite difference inequalities and applications |
| title_sort | integral and finite difference inequalities and applications |
| topic | Differential inequalities Differentialungleichung Finite differences Finite-Differenzen-Methode Integral inequalities Integralungleichung |
| topic_facet | Differential inequalities Differentialungleichung Finite differences Finite-Differenzen-Methode Integral inequalities Integralungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015694410&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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