Methods in nonlinear integral equations
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Word Count
54,500 words, Guess
Page Count
218 pages
Physical Format
[electronic resource] /
Identifiers
- Open LibraryOL27074653M
- ISBN-139789048161140
- OCLC Control Number847549154
- OCLC Control Numbermethodsnonlinear00prec
Classifications
- DDC515.7248
- LCCQA329.8 .P74 2002eb
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.
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