WebIn mathematics, the Fredholm alternative, named after Ivar Fredholm, is one of Fredholm's theorems and is a result in Fredholm theory.It may be expressed in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators.Part of the result states that a non-zero complex number in the … WebNov 19, 2024 · Then, some sharp results of topological nature in the context of global bifurcation theory provide us with the fine topological structure of the components of subharmonics emanating from the T-periodic coexistence state. ... [13] López-Gómez J 2016 Global bifurcation for Fredholm operators Rend. Istit. Mat. Univ. Trieste 48 …
Global Bifurcation of Stationary Solutions for a Volume-Filling ...
WebJan 1, 2001 · To complete this task we state a new version of the global bifurcation theory for nonlinear Fredholm (noncompact) operators and prove the compactness of the … WebDec 21, 2012 · In this paper, by applying the oriented coincidence index for a pair consisting of a nonlinear Fredholm operator and a CJ-multimap, we prove a global bifurcation … divano graz
Coexistence states in a cross-diffusion system of a predator–prey …
WebCorpus ID: 56127471; Global bifurcation for Fredholm operators @inproceedings{RabinowitzGlobalBF, title={Global bifurcation for Fredholm … WebIf G is proper global bifurcation takes place. (For precise definitions and for a proof of these results we refer to [S].) ... BIFURCATION AND POTENTIAL OPERATORS 3 ... D -+ E is a Fredholm operator of index zero having an isolated eigenvalue 0. (1.1) The additional hypothesis compared to previous bifurcation results is the following: ... WebCriteria for the bifurcation of small solutions of an equation F(lambda,u) = 0 from a line {(lambda,0): lambda is an element of R} of trivial solutions are usually based on properties of the DuF(lambda,0) at the trivial solutions, where the partial derivative is taken in the sense of Frechet. When this derivative only exists in some weaker sense, the situation charges … تبریک تولد خواهر طاهره