2 citations · 2 across the 24 of their papers we have counts for
4 papers · 1 filter
Evolution Differential Equations in Fréchet Space with Schauder Basis
Oleg Zubelevich
We consider evolution differential equations in Fréchet spaces that possess unconditional Schauder basis and construct a version of the majorant functions method to obtain existenc…
On Semilinear Elliptic Equation with Measurable Nonlinearity
Oleg Zubelevich
We consider a semilinear elliptic equation in a bounded domain with zero boundary conditions. The nonlinearity is discontinuous and monotone, but it is not a Carathéodory's functio…
Peano type theorem for abstract parabolic equations
Oleg Zubelevich
We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem. New class of parabolic equations…
On some abstract version of the Cauchy-Kowalewski Problem
Oleg Zubelevich
We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.