On the relation between boundedness and oscillation of solutions of many-dimensional differential systems with deviating arguments
On the selection and meaning of variable order operators for dynamic modeling.
On the semilinear multi-valued flow under constraints and the periodic problem
In the paper we will be concerned with the topological structure of the set of solutions of the initial value problem of a semilinear multi-valued system on a closed and convex set. Assuming that the linear part of the system generates a -semigroup we show the -structure of this set under certain natural boundary conditions. Using this result we obtain several criteria for the existence of periodic solutions for the semilinear system. As an application the problem of controlled heat transfer...
On the solution of certain non-linear differential equations of the third order
On the solution set of the nonconvex sweeping process
We prove that the solutions of a sweeping process make up an -set under the following assumptions: the moving set C(t) has a lipschitzian retraction and, in the neighbourhood of each point x of its boundary, it can be seen as the epigraph of a lipschitzian function, in such a way that the diameter of the neighbourhood and the related Lipschitz constant do not depend on x and t. An application to the existence of periodic solutions is given.
On the Solutions of (ry')' + qy = f.
On the spectrum of weakly almost periodic solutions of certain abstract differential equations.
On the stability of second order differential equations
On the stationary solutions of Burgers' equation
On the Stepanov almost periodic solution of a second-order infinitesimal generator differential equation.
On the structure of oscillatory solutions of a third order differential equation
The aim of the paper is to study the structure of oscillatory solutions of a nonlinear third order differential equation .
On the structure of second-order linear differential equations with given characteristic multipliers in the generalized Floquet theory
On the structure of second-order periodic differential equations with given characteristic multipliers
On the structure of solutions of a system of three differential inequalities
The aim of this paper is to study the global structure of solutions of three differential inequalities with respect to their zeros. New information for the differential equation of the third order with quasiderivatives is obtained, too.
On the structure of the second-order periodic linear differential equations with the same characteristic multipliers
On the study of chemostat model with pulsed input in a polluted environment.
On the symmetries of the differential equation governing damped harmonic vibration.
On the three-point boundary-value problem for a non-linear third order ordinary differential equation
On the transformation theory of ordinary second-order linear symmetric differential expressions
On the two-point boundary value problem for quadratic second-order differential equations and inclusions on manifolds.