منابع مشابه
Leray–schauder Degree: a Half Century of Extensions and Applications
The Leray–Schauder degree is defined for mappings of the form I−C, where C is a compact mapping from the closure of an open bounded subset of a Banach space X into X. Since the fifties, a lot of work has been devoted in extending this theory to the same type of mappings on some nonlinear spaces, and in extending the class of mappings in the frame of Banach spaces or manifolds. New applications ...
متن کاملOn the Study of a Class of Variational Inequalities via Leray-schauder Degree
The study of variational inequalities is very important from a theoretic point of view in mathematics as well as for its various and significant applications in different fields, for instance, in what is called nonsmooth mechanics [1, 3, 10]. Comprehensive treatment of different problems related to variational inequalities and their applications can be found in the monographs [2, 5, 6, 7, 8]. A...
متن کاملLeray–schauder Type Alternatives and the Solvability of Complementarity Problems
We present in this paper several existence theorems for nonlinear complementarity problems in Hilbert spaces. Our results are based on the concept of “exceptional family of elements” and on Leray–Schauder type altrenatives.
متن کاملGeneralized Leray–schauder Principles for Compact Admissible Multifunctions
We establish the Leray–Schauder type theorems for very general classes of multifunctions, which are called admissible. Our admissible classes contain compositions of important multifunctions in nonlinear analysis and algebraic topology. Moreover, our arguments are elementary, without using the concept of degree of maps or theory of homotopy extensions. The Leray–Schauder principle [LS], one of ...
متن کاملAn Ambrosetti-prodi-type Problem for an Elliptic System of Equations via Monotone Iteration Method and Leray-schauder Degree Theory
In this paper we employ the Monotone Iteration Method and the Leray-Schauder Degree Theory to study an IR-parametrized system of elliptic equations. We obtain a curve dividing the plane into two regions. Depending on which region the parameter is, the system will or will not have solutions. This is an Ambrosetti-Prodi-type problem for a system of equations. 0. Introduction Let us consider a bou...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1969
ISSN: 0022-247X
DOI: 10.1016/0022-247x(69)90244-3