Topological properties of nonlinear evolution equations
Ďurikovič, Vladimír, Ďurikovičová, Monika
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Displaying similar documents to “A topological structure of solution sets to evolution systems”
Topological properties of nonlinear evolution equations
On -differentiable Fredholm operators of nonstationary initial-boundary value problems
Vladimír Ďurikovič, Monika Ďurikovičová (2002)
Archivum Mathematicum
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We are dealing with Dirichlet, Neumann and Newton type initial-boundary value problems for a general second order nonlinear evolution equation. Using the Fredholm operator theory we establish some sufficient conditions for Fréchet differentiability of associated operators to the given problems. With help of these results the generic properties, existence and continuous dependency of solutions for initial-boundary value problems are studied.
Some generic properties of nonlinear second order diffusional type problem
Vladimír Ďurikovič, Mária Ďurikovičová (1999)
Archivum Mathematicum
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We are interested of the Newton type mixed problem for the general second order semilinear evolution equation. Applying Nikolskij’s decomposition theorem and general Fredholm operator theory results, the present paper yields sufficient conditions for generic properties, surjectivity and bifurcation sets of the given problem.
On the solutions of nonlinear initial-boundary value problems.
Ďurikovič, Vladimír, Ďurikovičová, Monika (2004)
Abstract and Applied Analysis
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Coincidence Degree And Rabinowitz's Bifurcation Theorem
G. Hetzer, V. Stallbohm (1976)
Publications de l'Institut Mathématique
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