UID:
almahu_9947367044602882
Format:
1 online resource (621 p.)
ISBN:
1-281-05435-6
,
9786611054359
,
0-08-053464-3
Series Statement:
Mathematics in science and engineering ; v. 197
Content:
Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.
Note:
Description based upon print version of record.
,
Cover; Contents; Preface; Introduction; Chapter 1. Linear Integral Inequalities; 1.1 Introduction; 1.2 The Inequalities of Gronwall and Bellman; 1.3 Some Generalizations of the GronwalI-Bellman Inequality; 1.4 Volterra-Type Integral Inequalities; 1.5 The Inequalities of Gamidov and Rodrigues; 1.6 Simultaneous Inequalities; 1.7 Pachpatte's Inequalities; 1.8 Integro-differential Inequalities; 1.9 Inequalities with Several Iterated Integrals; 1.10 Inequalities Involving Product Integrals; 1.11 Applications; 1.12 Miscellaneous Inequalities; 1.13 Notes; Chapter 2. Nonlinear Integral Inequalities I
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2.1 Introduction2.2 Inequalities Involving Comparison; 2.3 The Inequalities of Bihari and Langenhop; 2.4 Generalizations of GronwalI-Bellman-Bihari Inequalities; 2.5 Inequalities with Volterra-Type Kernels; 2.6 Inequalities with Nonlinearities in the Integral; 2.7 Pachpatte's Inequalities I; 2.8 Pachpatte's Inequalities II; 2.9 Integro-differential Inequalities; 2.10 Inequalities with Iterated Integrals; 2.11 Applications; 2.12 Miscellaneous Inequalities; 2.13 Notes; Chapter 3. Nonlinear Integral Inequalities II; 3.1 Introduction; 3.2 Dragomir's Inequalities; 3.3 Pachpatte's Inequalities I
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3.4 The Inequalities of Ou-lang and Dafermos3.5 Pachpatte's Inequalities II; 3.6 Pachpatte's Inequalities III; 3.7 Pachpatte's Inequalities IV; 3.8 The Inequalities of Haraux and Engler; 3.9 Pachpatte's Inequalities V; 3.10 Inequalities Involving Iterated Integrals; 3.11 Applications; 3.12 Miscellaneous Inequalities; 3.13 Notes; Chapter 4. Multidimensional Linear Integral Inequalities; 4.1 Introduction; 4.2 Wendroff's Inequality; 4.3 Pachpatte's Inequalities I; 4.4 Pachpatte's Inequalities II; 4.5 Pachpatte's Inequalities III; 4.6 Snow's Inequalities
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4.7 Generalizations of Snow's Inequalities4.8 Pachpatte's Inequalities IV; 4.9 Inequalities in Several Variables; 4.10 Young's Inequality and its Generalizations; 4.11 Applications; 4.12 Miscellaneous Inequalities; 4.13 Notes; Chapter 5. Multidimensional Nonlinear Integral Inequalities; 5.1 Introduction; 5.2 Generalizations of Wendroff's Inequality; 5.3 Wendroff-type Inequalities; 5.4 Generalizations of Pachpatte's Inequalities; 5.5 Pachpatte's Inequalities I; 5.6 Pachpatte's Inequalities II; 5.7 Inequalities in Many Independent Variables; 5.8 Pachpatte's Inequalities III
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5.9 Pachpatte's Inequalities IV5.10 Pachpatte's Inequalities V; 5.11 Applications; 5.12 Miscellaneous Inequalities; 5.13 Notes; References; Index
,
English
Additional Edition:
ISBN 0-12-543430-8
Language:
English
