Methods in Nonlinear Integral Equations / by Radu Precup
| データ種別 | 電子ブック |
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| 出版情報 | Dordrecht : Springer Netherlands : Imprint: Springer , 2002 |
| 本文言語 | 英語 |
| 大きさ | XIV, 218 p : online resource |
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| 内容注記 | 0 Overview 1 Compactness in Metric Spaces 2 Completely Continuous Operators on Banach Spaces 3 Continuous Solutions of Integral Equations via Schauder’s Theorem 4 The Leray-Schauder Principle and Applications 5 Existence Theory in LP Spaces 6 Positive Self-Adjoint Operators in Hilbert Spaces 7 The Fréchet Derivative and Critical Points of Extremum 8 The Mountain Pass Theorem and Critical Points of Saddle Type 9 Nontrivial Solutions of Abstract Hammerstein Equations 10 The Discrete Continuation Principle 11 Monotone Iterative Methods 12 Quadratically Convergent Methods |
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| 一般注記 | Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis |
| 著者標目 | *Precup, Radu author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Functional analysis LCSH:Integral equations LCSH:Operator theory LCSH:Differential equations LCSH:Calculus of variations FREE:Mathematics FREE:Integral Equations FREE:Ordinary Differential Equations FREE:Operator Theory FREE:Functional Analysis FREE:Calculus of Variations and Optimal Control; Optimization |
| 分 類 | DC23:515.45 |
| 巻冊次 | ISBN:9789401599863 
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| ISBN | 9789401599863 |
| URL | http://dx.doi.org/10.1007/978-94-015-9986-3 |
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