Topological properties of nonlinear evolution equations
Ďurikovič, Vladimír, Ďurikovičová, Monika
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Ďurikovič, Vladimír, Ďurikovičová, Monika
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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.
Vladimír Ďurikovič, Monika Ďurikovičová (2005)
Mathematica Slovaca
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Ďurikovič, Vladimír, Ďurikovičová, Monika (2004)
Abstract and Applied Analysis
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G. Hetzer, V. Stallbohm (1976)
Publications de l'Institut Mathématique
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