On the solutions of nonlinear initial-boundary value problems.

Ďurikovič, Vladimír; Ďurikovičová, Monika

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Displaying similar documents to “On the solutions of nonlinear initial-boundary value problems.”

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.

A topological structure of solution sets to evolution systems

Vladimír Ďurikovič, Monika Ďurikovičová (2005)

Mathematica Slovaca

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Topological properties of nonlinear evolution equations

Ďurikovič, Vladimír, Ďurikovičová, Monika

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Backward solutions to nonlinear integro-differential systems

Yuzhen Bai (2010)

Open Mathematics

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In this paper, we show the backward uniqueness in time of solutions to nonlinear integro-differential systems with Neumann or Dirichlet boundary conditions. We also discuss reasonable physical interpretations for our conclusions.