Edition |
1st ed. |
Description |
1 online resource (xiv, 517 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
Series |
North-Holland mathematics studies, 0304-0208 ; 202 |
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North-Holland mathematics studies ; 202. 0304-0208
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Summary |
The book presents a systematic and compact treatment of the qualitative theory of half-linear differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDEs with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations. - The first complete treatment of the qualitative theory of half-linear differential equations. - Comparison of linear and half-linear theory. - Systematic approach to half-linear oscillation and asymptotic theory. - Comprehensive bibliography and index. - Useful as a reference book in the topic. |
Contents |
Preface. -- 1. Basic Theory. -- 2 Methods of Oscillation Theory. -- 3 Oscillation and Nonoscillation Criteria. -- 4 Nonoscillatory Solutions. -- 5 Various Oscillation Problems. -- 6 BVP's for Half-Linear Differential Equations. -- 7 Partial Differential Equations with p-Laplacian. -- 8 Half-Linear Difference Equations. -- 9 Related Differential Equations and Inequalities. -- Bibliography. -- Index. -- Author Index. |
Bibliography |
Includes bibliographical references (pages 471-496) and indexes. |
Note |
Print version record. |
Subject |
Differential equations -- Oscillation theory.
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Differential equations, Linear.
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Differential equations, Nonlinear.
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Équations différentielles -- Théorie de l'oscillation.
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Équations différentielles linéaires.
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Équations différentielles non linéaires.
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MATHEMATICS -- Differential Equations -- General.
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Differential equations, Linear
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Differential equations, Nonlinear
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Differential equations -- Oscillation theory
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Added Author |
ehák, Pavel.
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Other Form: |
Print version: Dolý, Ondej. Half-linear differential equations. 1st ed. Amsterdam ; Boston : Elsevier, 2005 0444520392 9780444520395 (DLC) 2005049897 (OCoLC)60371071 |
ISBN |
9780444520395 |
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0444520392 |
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0080461239 (electronic bk.) |
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9780080461236 (electronic bk.) |
Standard No. |
AU@ 000062569487 |
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CHNEW 001005651 |
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DEBBG BV036962245 |
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DEBBG BV039830113 |
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DEBBG BV042317261 |
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DEBSZ 276324889 |
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DEBSZ 482351675 |
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NZ1 12434544 |
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