Opial inequalities with applications in differential and difference equations /
In 1960 the Polish mathematician Zdzidlaw Opial (1930-1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial type inequalities. The book presents a complete survey of results in the field, st...
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| 格式: | 圖書 |
| 語言: | English |
| 出版: |
Dordrecht ; Boston :
Kluwer Academic Publishers,
c1995.
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| 叢編: | Mathematics and its applications (Kluwer Academic Publishers) ;
v. 320. |
| 主題: | |
| 在線閱讀: | Publisher description Table of contents only |
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| 040 | |a TOC |b eng |c TOC |d TOC | ||
| 050 | 0 | 0 | |a QA295 |b .A45 1995 |
| 082 | 0 | 0 | |a 515/.46 |2 20 |
| 100 | 1 | |a Agarwal, Ravi P. | |
| 245 | 1 | 0 | |a Opial inequalities with applications in differential and difference equations / |c by Ravi P. Agarwal and Peter Y.H. Pang. |
| 260 | |a Dordrecht ; |a Boston : |b Kluwer Academic Publishers, |c c1995. | ||
| 300 | |a x, 393 p. : |b ill. ; |c 25 cm. | ||
| 490 | 1 | |a Mathematics and its applications ; |v v. 320 | |
| 504 | |a Includes bibliographical references (p. 386-389) and index. | ||
| 505 | 0 | |a Ch. 1. Opial's Inequality -- Ch. 2. Generalizations of Opial's Inequality -- Ch. 3. Opial Inequalities Involving Higher Order Derivatives -- Ch. 4. Opial Inequalities in Several Independent Variables -- Ch. 5. Discrete Opial Inequalities -- Ch. 6. Applications. | |
| 520 | |a In 1960 the Polish mathematician Zdzidlaw Opial (1930-1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial type inequalities. The book presents a complete survey of results in the field, starting with Opial's landmark paper, traversing through its generalizations, extensions and discretizations. Some of the important applications of these inequalities in the theory of differential and difference equations, such as uniqueness of solutions of boundary value problems, and upper bounds of solutions are also presented. This book is suitable for graduate students and researchers in mathematical analysis and applications. | ||
| 650 | 0 | |a Opial inequalities. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Difference equations. | |
| 700 | 1 | |a Pang, Peter Y. H. | |
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| 830 | 0 | |a Mathematics and its applications (Kluwer Academic Publishers) ; |v v. 320. | |
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