A. Rezounenko

activity

20052026

most citedParabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold

67 citations · 251 across the 15 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.AP2014★ 23 cited

Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay

Igor Chueshov, Alexander Rezounenko

We deal with a class of parabolic nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in biology. We first prove well-p…

math.AP2014★ 67 cited

Parabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold

Tibor Krisztin, Alexander Rezounenko

Classical solutions to PDEs with discrete state-dependent delay are studied. We prove the well-posedness in a set $X_{F}$ which is an analogous to the solution manifold used for ordi…