On structure of solutions of a system of four differential inequalities.
On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations.
On Sumudu transform and system of 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 systems of linear generalized ordinary differential and integral inequalities.
On the application of a theorem of K. Orlov to the approximate solution of differential equations
On the application of the theory of uniform distribution to the solution of differential equations. (Über die Anwendung der Theorie der Gleichverteilung auf die Lösung von Differentialgleichungen.)
On the applications of a new technique to solve linear differential equations, with and without source.
On the approximate values of an implicitly given function
On the approximation of real continuous functions by series of solutions of a single system of partial differential equations
We prove the existence of an effectively computable integer polynomial P(x,t₀,...,t₅) having the following property. Every continuous function can be approximated with arbitrary accuracy by an infinite sum of analytic functions , each solving the same system of universal partial differential equations, namely (σ = 1,..., s).
On the asymptotic behavior for a damped oscillator under a sublinear friction.
Mostramos la existencia de dos curvas de datos iniciales (x0, v0) para las cuales las soluciones x(t) correspondientes del problema de Cauchy asociado a la ecuación xtt + |xt|α-1 xt + x = 0, supuesto α ∈ (0,1), se anulan idénticamente después de un tiempo finito. Mediante métodos asintóticos y argumentos de comparación mostramos que para muchos otros datos iniciales las soluciones decaen a 0, en un tiempo infinito, como t-α / (1-α).
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 asymptotic behavior of solutions of the equation y" + p(x)y = 0
On the asymptotic classes of solutions of a superlinear differential equation
On the asymptotic stability of two-dimensional linear systems
On the averaging of differential inclusions with maxima
We apply the averaging method to ordinary differential inclusions with maxima perturbed by a small parameter and illustrate the method by some examples.
On the "bang-bang" principle for nonlinear evolution inclusions.