On the unique solvability of the Runge-Kutta equations.
On the Zero Stability of the Variable Order Variable Stepsize BDF-Formulas.
On the zeros of meromorphic solutions of second-order linear differential equations.
On The Zeros Of Oscillatory Solutions Of Linear Second-Order Differential Equations
On the zeros of some special functions: differential equations and Nicholson-type formulas
On the -exponentially asymptotic stability of linear systems of generalized ordinary differential equations.
On the -stability of impulsive dynamic system on time scales.
On the -dichotomy for homogeneous linear differential equations.
On those ordinary differential equations that are solved exactly by the improved Euler method
As a numerical method for solving ordinary differential equations , the improved Euler method is not assumed to give exact solutions. In this paper we classify all cases where this method gives the exact solution for all initial conditions. We reduce an infinite system of partial differential equations for to a finite system that is sufficient and necessary for the improved Euler method to give the exact solution. The improved Euler method is the simplest explicit second order Runge-Kutta method....
On time reparametrizations and isomorphisms of impulsive dynamical systems
We prove that for a given impulsive dynamical system there exists an isomorphism of the basic dynamical system such that in the new system equipped with the same impulse function each impulsive trajectory is global, i.e. the resulting dynamics is defined for all positive times. We also prove that for a given impulsive system it is possible to change the topology in the phase space so that we may consider the system as a semidynamical system (without impulses).
On total truncation error estimation for the one-step method
In this paper the author establishes estimation of the total truncation error after steps in the fifth order Ruge-Kutta-Huťa formula for systems of differential equations. The approach is analogous to that used by Vejvoda for the estimation of the classical formulas of the Runge-Kutta type of the 4-th order.
On transformations of bundles of solutions of a fourth order iterated linear differential equation
On Transformations of Graded Matrices, with Applications to Stiff ODE's.
On transformations of self-adjoint linear differential systems and their reciprocals
On transformations of self-adjoint linear differential systems
On transformations of singular quadratic functionals corresponding to equation
On transformations of two homogeneous linear second order differential equations of a general and of Sturm forms
On transformations of two linear second order differential equations
On transformations of ordinary differential equations
The paper describes the general form of an ordinary differential equation of the order which allows a nontrivial global transformation consisting of the...
On two-dimensional linear spaces of continuous functions of the same character