LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.45
Title	Methods in Nonlinear Integral Equations ([EBook] /) / by Radu Precup.
Author	Precup, Radu
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 2002.
Physical Details	XIV, 218 p. : online resource.
ISBN	9789401599863
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-015-9986-3
Links to Related Works	Subject References: Calculus of variations . Calculus of variations and optimal control; optimization . Differential Equations . Functional Analysis . Integral Equations . Mathematics . Operator Theory . Ordinary differential equations . Authors: Precup, Radu . Corporate Authors: SpringerLink (Online service) . Classification: 515.45 .

Catalogue Display

Methods in Nonlinear Integral Equations

Reviews