On behavior of solutions of nonlinear differential equations in Hilbert space. II.
On Bojarski's index formula for nonsmooth interfaces.
On boundary element methods for solving elliptic boundary value problems
On boundary value problems for degenerate differential inclusions in Banach spaces.
On boundary value problems for functional-differential equations.
On boundary value problems for -th order functional differential equations with impulses.
On boundary value problems for second-order discrete inclusions.
On boundary value problems for systems of linear functional differential equations
On boundary value problems for systems of nonlinear generalized ordinary differential equations
A general theorem (principle of a priori boundedness) on solvability of the boundary value problem is established, where is a vector-function belonging to the Carathéodory class corresponding to the matrix-function with bounded total variation components, and is a continuous operator. Basing on the mentioned principle of a priori boundedness, effective criteria are obtained for the solvability of the system under the condition where
On boundary value problems of periodic type for ordinary odd order differential equations
On boundary value problems of second order differential inclusions
This paper presents sufficient conditions for the existence of solutions to boundary-value problems of second order multi-valued differential inclusions. The existence of extremal solutions is also obtained under certain monotonicity conditions.
On boundary-value problems for higher-order differential inclusions.
On bounded nonoscillatory solutions of third-order nonlinear differential equations
This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.
On bounded solutions in a given set of systems of differential equations.
On bounded solutions of a certain differential equation
On bounded solutions of a linear differential equation with a nonlinear perturbation
On bounded solutions of nonlinear ordinary differential equations
On bounded solutions to systems of linear functional-differential equations.
On bounded time-dependent perturbations of operator cosine functions.
On boundedness and stability of solutions of nonlinear second order differential equations in Hilbert spaces