On Peano's theorem in locally convex spaces
On plane polynomial vector fields and the Poincaré problem.
On point dissipative -dimensional systems of differential equations with quadratic nonlinearity.
On point-dissipative systems of differential equations with quadratic nonlinearity.
On positive solutions of equations with two middle terms
On Riccati's Equation and Its Transformations and Some Definite Integrals which satisfy them [Book]
On solving systems of differential algebraic equations
In the paper the comparison method is used to prove the convergence of the Picard iterations, the Seidel iterations, as well as some modifications of these methods applied to approximate solution of systems of differential algebraic equations. The both linear and nonlinear comparison equations are emloyed.
On some properties of the solutions of the third order nonlinear differential equations with delay
On stability properties of solutions of second order differential equations.
On symmetrizers for Gauss methods.
On systems governed by two alternating vector fields
We investigate the nonautonomous periodic system of ODE’s of the form , where is a -periodic function defined by for , for and the vector fields and are related by an involutive diffeomorphism.
On the asymptotic behavior of perturbed linear systems
On the asymptotic behavior of solutions for a class of second order nonlinear differential equations.
On the asymptotic behavior of solutions of nonlinear ordinary differential equations
On the behaviour of the solutions and their first derivatives of the -th order differential equations with periodic coefficients
On the convergence of multistep methods for nonlinear stiff differential equations.
On the Cordovan ogive
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 equation x”(t) = F(t, x(t)) in the Sobolev space