Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Oleg Zubelevich"'
Autor:
Oleg Zubelevich
Publikováno v:
Electronic Journal of Differential Equations, Vol 2, Iss 101, Pp 1-4 (2005)
We study the solvability of quasilinear elliptic Dirchlet boundary-value problems. In particular, we show that if the dimension of the domain is large enough then the solution exists independent of the growth rate on right-hand side.
Externí odkaz:
https://doaj.org/article/92f2092d90944a93a8d1909f8f3ea5cc
Autor:
Oleg Zubelevich
Publikováno v:
Electronic Journal of Differential Equations, Vol 2003, Iss 55, Pp 1-6 (2003)
We extend the classical majorant functions method to a PDE system which right hand side is a mapping of one functional space to another. This extension is based on some generalization of the Schauder fixed point theorem.
Externí odkaz:
https://doaj.org/article/16d377e2f8da47eaa827e08554755426
Autor:
Oleg Zubelevich
We consider a system of ODE in a Fr\'echet space with unconditional Schauder basis. The right side of the ODE is a discontinuous function. Under certain monotonicity conditions we prove an existence theorem for the corresponding initial value problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11f39a283a31a8a7268a0290f26dd714
Autor:
Oleg Zubelevich
Publikováno v:
Lobachevskii Journal of Mathematics. 41:459-473
A Lagrangian system with singularities is considered. The configuration space is a non-compact manifold that depends on time. A set of periodic solutions has been found.
Autor:
Oleg Zubelevich
Publikováno v:
Acta Mathematica Hungarica. 157:349-363
A Lagrangian system is considered. The configuration space is a non-compact manifold that depends on time. A set of periodic solutions has been found.
Autor:
Dmitry Treschev, Oleg Zubelevich
Publikováno v:
Russian Journal of Mathematical Physics. 26:109-121
We consider the Schrodinger equation for a particle on a flat n-torus with a bounded potential depending on time. The mass of the particle equals 1/μ2, where μ is a small parameter. We show that the Sobolev Hν-norms of the wave function grow appro
Autor:
Oleg Zubelevich
Publikováno v:
Nelineinaya Dinamika. 15:343-349
Autor:
Oleg Zubelevich
Publikováno v:
Journal of Mathematical Analysis and Applications. 504:125395
It is shown that some class of differential inclusions has solutions that are defined and bounded for all real values of independent variable. Applications to dynamics are considered.
Autor:
Oleg Zubelevich
Publikováno v:
Funkcialaj Ekvacioj. 60:213-237
Autor:
Oleg Zubelevich, Andrey E. Volkov
Publikováno v:
Glasgow Mathematical Journal. 59:289-298
The Lagrange-d'Alembert equations with constraints belonging to H1,∞ have been considered. A concept of weak solutions to these equations has been built. A global existence theorem for Cauchy problem has been obtained.