On the symmetries of the differential equation governing damped harmonic vibration.
On the tangency of multifunctions
On the tangential velocity arising in a crystalline approximation of evolving plane curves
In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation.
On the terminal value problem for differential equations with deviating arguments
On the theorem of Filippov-Pliś and some applications
On the theory of functional-differential inclusions of neutral type.
On the theory of one-sided models in spaces with arbitrary cones.
On the theory of phases of academican O. Borůvka
On the third order nonlinear ordinary differential equation
On the three-point boundary-value problem for a non-linear third order ordinary differential equation
On the time-dependent parabolic wave equation.
On the Timoshenko type equations
On the topological dimension of the solutions sets for some classes of operator and differential inclusions
In the present paper, we give the lower estimation for the topological dimension of the fixed points set of a condensing continuous multimap in a Banach space. The abstract result is applied to the fixed point set of the multioperator of the form where is the superposition multioperator generated by the Carathéodory type multifunction F and S is the shift of a linear injective operator. We present sufficient conditions under which this set has the infinite topological dimension. In the last...
On the topological structure of the solution set for a semilinear ffunctional-differential inclusion in a Banach space
In this paper we show that the set of all mild solutions of the Cauchy problem for a functional-differential inclusion in a separable Banach space E of the form x’(t) ∈ A(t)x(t) + F(t,xt) is an -set. Here A(t) is a family of linear operators and F is a Carathéodory type multifunction. We use the existence result proved by V. V. Obukhovskiĭ [22] and extend theorems on the structure of solutions sets obtained by N. S. Papageorgiou [23] and Ya. I. Umanskiĭ [32].
On the transfer of conditions as applied to solving two-dimensional boundary value problems
On the transformation theory of ordinary second-order linear symmetric differential expressions
On the transformation theory of ordinary second-order linear symmetric differential equations
On the two-point boundary value problem for quadratic second-order differential equations and inclusions on manifolds.
On the two-point boundary-value problem for the Riccati matrix differential equation
Constructive sufficient conditions for univalent resolvability of a two-point boundary value problem for nonlinear Riccati equation are obtained. An illustrative example is given.
On the uniform exponential stability of linear time-delay systems.