On the behaviour of the solutions and their first derivatives of the -th order differential equations with periodic coefficients
On the boundedness of solutions of higher order differential equations
On the Branching of Solutions of Quadratic Differential Equations.
On the bundle of solutions of a nonhomogeneous second order linear differential equation
On the calculation of some differential galois groups.
On the cardinality of solutions of multilinear differential equations and applications.
On the closed-form solution of the improved labor augmented Solow-Swan model.
On the concept of general solution for impulsive differential equations of fractional-orderq∈ (2,3)
In this paper, we find the formula of general solution for a generalized impulsive differential equations of fractional-order q ∈ (2, 3).
On the Conley index in Hilbert spaces - a multivalued case
We introduce the cohomological Conley type index theory for multivalued flows generated by vector fields which are compact and convex-valued perturbations of some linear operators.
On the continuability of solutions of bidimensional systems.
On the convergence of multistep methods for nonlinear stiff differential equations.
On the Cordovan ogive
On the correctness of linear boundary value problems for systems of generalized ordinary differential equations.
On the correctness of the Cauchy problem for a linear differential system on an infinite interval.
On the Darboux transformation. I.
On the Darboux transformation. II.
Automorphisms of the family of all Sturm-Liouville equations are investigated. The classical Darboux transformation arises as a particular case of a general result.
On the density of extremal solutions of differential inclusions
An existence theorem for the cauchy problem (*) ẋ ∈ ext F(t,x), x(t₀) = x₀, in banach spaces is proved, under assumptions which exclude compactness. Moreover, a type of density of the solution set of (*) in the solution set of ẋ ∈ f(t,x), x(t₀) = x₀, is established. The results are obtained by using an improved version of the baire category method developed in [8]-[10].
On the dependence of solutions upon the right hand side of an ordinary differential equation.
On the determination of the potential function from given orbits
The paper deals with the problem of finding the field of force that generates a given ()-parametric family of orbits for a mechanical system with degrees of freedom. This problem is usually referred to as the inverse problem of dynamics. We study this problem in relation to the problems of celestial mechanics. We state and solve a generalization of the Dainelli and Joukovski problem and propose a new approach to solve the inverse Suslov’s problem. We apply the obtained results to generalize the...
On the discrete kinetic theory for active particles. Modelling the immune competition.