Edition |
2nd ed. |
Description |
1 online resource (x, 353 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 |
Mathematics in science and engineering, 0076-5392 ; v. 202 |
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Mathematics in science and engineering ; v. 202. 0076-5392
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Bibliography |
Includes bibliographical references (pages 340-348) and indexes. |
Summary |
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied t. |
Contents |
The general problems -- Linear equations -- Existence properties -- History, examples, and motivation -- Instability, stability, and perturbations -- Stability and boundedness -- The resolvent -- Functional differential equations. |
Note |
Print version record. |
Subject |
Volterra equations.
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Integro-differential equations.
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Équations de Volterra.
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Équations intégrodifférentielles.
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Integro-differential equations
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Volterra equations
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Other Form: |
Print version: Burton, T.A. (Theodore Allen), 1935- Volterra integral and differential equations. 2nd ed. Amsterdam ; Boston : Elsevier, 2005 0444517863 (DLC) 2005040042 (OCoLC)57722494 |
ISBN |
0080459552 (electronic bk.) |
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9780080459554 (electronic bk.) |
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0444517863 (alk. paper) |
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9780444517869 (alk. paper) |
Standard No. |
CHNEW 001004914 |
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DEBBG BV042317221 |
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DEBSZ 405292481 |
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DEBSZ 482350105 |
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UKMGB 017572940 |
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AU@ 000066241702 |
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DKDLA 820120-katalog:9910110385005765 |
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AU@ 000072974816 |
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