Methods in Nonlinear Integral Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2002
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XIV, 218 p) |
| ISBN: | 9789401599863 9789048161140 |
| DOI: | 10.1007/978-94-015-9986-3 |
Staff View
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| spelling | Precup, Radu Verfasser aut Methods in Nonlinear Integral Equations by Radu Precup Dordrecht Springer Netherlands 2002 1 Online-Ressource (XIV, 218 p) txt rdacontent c rdamedia cr rdacarrier 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 Mathematics Functional analysis Integral equations Operator theory Differential Equations Mathematical optimization Integral Equations Ordinary Differential Equations Operator Theory Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Integralgleichung (DE-588)4240925-1 gnd rswk-swf Nichtlineare Integralgleichung (DE-588)4240925-1 s 1\p DE-604 https://doi.org/10.1007/978-94-015-9986-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Precup, Radu Methods in Nonlinear Integral Equations Mathematics Functional analysis Integral equations Operator theory Differential Equations Mathematical optimization Integral Equations Ordinary Differential Equations Operator Theory Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Integralgleichung (DE-588)4240925-1 gnd |
| subject_GND | (DE-588)4240925-1 |
| title | Methods in Nonlinear Integral Equations |
| title_auth | Methods in Nonlinear Integral Equations |
| title_exact_search | Methods in Nonlinear Integral Equations |
| title_full | Methods in Nonlinear Integral Equations by Radu Precup |
| title_fullStr | Methods in Nonlinear Integral Equations by Radu Precup |
| title_full_unstemmed | Methods in Nonlinear Integral Equations by Radu Precup |
| title_short | Methods in Nonlinear Integral Equations |
| title_sort | methods in nonlinear integral equations |
| topic | Mathematics Functional analysis Integral equations Operator theory Differential Equations Mathematical optimization Integral Equations Ordinary Differential Equations Operator Theory Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Integralgleichung (DE-588)4240925-1 gnd |
| topic_facet | Mathematics Functional analysis Integral equations Operator theory Differential Equations Mathematical optimization Integral Equations Ordinary Differential Equations Operator Theory Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Integralgleichung |
| url | https://doi.org/10.1007/978-94-015-9986-3 |
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