On an asymptotic behaviour of solutions of the differential equation of the fourth order
On an effective criterion of solvability of boundary value problems for ordinary differential equation of -th order
New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of -th order with certain functional boundary conditions are constructed by a method of a priori estimates.
On an elasto-dynamic evolution equation with non dead load and friction
In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.
On an even order neutral differential inequality.
On an evolution equation in Banach spaces
On an example of phase-space tunneling
On an infinite-dimensional differential equation in vector distributions with discontinuous regular functions on the right hand side.
On an initial-value problem for a nonlinear transport equation in polymer chemistry
On an internal approximation of a class of elliptic eigenvalue problems
On an inverse problem in the theory of thermistors
An inverse problem for a nonlocal problem describing the temperature of a conducting device is studied.
On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition.
On an th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution.
On an ODE Relevant for the General Theory of the Hyperbolic Cauchy Problem
2000 Mathematics Subject Classification: 34E20, 35L80, 35L15.In this paper we study an ODE in the complex plane. This is a key step in the search of new necessary conditions for the well posedness of the Cauchy Problem for hyperbolic operators with double characteristics.
On an optimal control problem
On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks
We develop and test a relatively simple enhancement of the classical model reduction method applied to a class of chemical networks with mass conservation properties. Both the methods, being (i) the standard quasi-steady-state approximation method, and (ii) the novel so-called delayed quasi-steady-state approximation method, firstly proposed by Vejchodský (2014), are extensively presented. Both theoretical and numerical issues related to the setting of delays are discussed. Namely, for one slightly...
On an oscillation criterion of Hartman, Wintner and Potter
On analysis of quasihyperbolic equations of linear viscoelasticity
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
On Apery's differential operator
On application of Rothe's fixed point theorem to study the controllability of fractional semilinear systems with delays
The paper presents finite-dimensional dynamical control systems described by semilinear fractional-order state equations with multiple delays in the control and nonlinear function . The relative controllability of the presented semilinear system is discussed. Rothe’s fixed point theorem is applied to study the controllability of the fractional-order semilinear system. A control that steers the semilinear system from an initial complete state to a final state at time is presented. A numerical...