Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Kostrykin, Vadim"'
We study the existence and linear stability of stationary periodic solutions to a neural field model, an intergo-differential equation of the Hammerstein type. Under the assumption that the activation function is a discontinuous step function and the
Externí odkaz:
http://arxiv.org/abs/1712.09688
Autor:
Grubišić, Luka, Kostrykin, Vadim, Makarov, Konstantin A., Schmitz, Stephan, Veselić, Krešimir
We obtain sufficient conditions that ensure block diagonalization (by a direct rotation) of sign-indefinite symmetric sesquilinear forms as well as the associated operators that are semi-bounded neither from below nor from above. In the semi-bounded
Externí odkaz:
http://arxiv.org/abs/1710.05105
Autor:
Grubišić, Luka, Kostrykin, Vadim, Makarov, Konstantin A., Schmitz, Stephan, Veselić, Krešimir
Publikováno v:
J. Spectr. Theory 9 (2019), no.4, 1431-1457
We show that the generalized Reynolds number (in fluid dynamics) introduced by Ladyzhenskaya is closely related to the rotation of the positive spectral subspace of the Stokes block-operator in the underlying Hilbert space. We also explicitly evaluat
Externí odkaz:
http://arxiv.org/abs/1708.00509
We study the existence of fixed points to a parameterized Hammertstain operator $\cH_\beta,$ $\beta\in (0,\infty],$ with sigmoid type of nonlinearity. The parameter $\beta<\infty$ indicates the steepness of the slope of a nonlinear smooth sigmoid fun
Externí odkaz:
http://arxiv.org/abs/1511.06364
Autor:
Kostrykin, Vadim, Oleynik, Anna
Publikováno v:
Fixed Point Theory and Applications 2012, 2012:211
We consider a monotone increasing operator in an ordered Banach space having $u_-$ and $u_+$ as a strong super- and subsolution, respectively. In contrast with the well studied case $u_+ < u_-$, we suppose that $u_- < u_+$. Under the assumption that
Externí odkaz:
http://arxiv.org/abs/1203.3068
Autor:
Kostrykin, Vadim, Oleynik, Anna
We study the neuronal field equation, a nonlinear integro-differential equation of Hammerstein type. By means of the Amann three fixed point theorem we prove the existence of bump solutions to this equation. Using the Krein-Rutman theorem we show the
Externí odkaz:
http://arxiv.org/abs/1112.2941
We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The proof uses energy methods, which are adaptions of correspond
Externí odkaz:
http://arxiv.org/abs/1106.0817
Brownian motions on a metric graph are defined. Their generators are characterized as Laplace operators subject to Wentzell boundary at every vertex. Conversely, given a set of Wentzell boundary conditions at the vertices of a metric graph, a Brownia
Externí odkaz:
http://arxiv.org/abs/1102.4937
Pathwise constructions of Brownian motions which satisfy all possible boundary conditions at the vertex of star graphs are given.
Comment: 36 pages. The material of our previous articles 1012.0733, 1012.0737, 1012.0739 has been re-organized. The
Comment: 36 pages. The material of our previous articles 1012.0733, 1012.0737, 1012.0739 has been re-organized. The
Externí odkaz:
http://arxiv.org/abs/1102.4533
Various equivalent conditions for a semigroup or a resolvent generated by a Markov process to be of Feller type are given.
Comment: 5 pages. The material of our previous articles 1012.0733, 1012.0737, 1012.0739 has been re-organized. The present
Comment: 5 pages. The material of our previous articles 1012.0733, 1012.0737, 1012.0739 has been re-organized. The present
Externí odkaz:
http://arxiv.org/abs/1102.3979