On the existence of proper and vanishing at infinity solutions to odd-order nonlinear ordinary differential equations.
On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations
On the growth of entire solution of a nonlinear differential equation
In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results.
On the intersection of the set of solutions of two Kummer's differential equations
On the iterative inclusion of solutions in initial value problems
On the method of upper and lower solutions in abstract cones
On the monotonicity of nonnegative solutions and the uniqueness of eigenvalues
On the monotonicity of the quotient of certain abelian integrals.
On the Order Conditions of Runge-Kutta Methods with Higher Derivatives.
On the oscillation of a class of nonlinear differential systems with deviating arguments
On the oscillation of nonlinear differential systems with retarded arguments
On the Poincaré-Lyapunov constants and the Poincare series
For an arbitrary analytic system which has a linear center at the origin we compute recursively all its Poincare-Lyapunov constants in terms of the coefficients of the system, giving an answer to the classical center problem. We also compute the coefficients of the Poincare series in terms of the same coefficients. The algorithm for these computations has an easy implementation. Our method does not need the computation of any definite or indefinite integral. We apply the algorithm to some polynomial...
On the ``Poincaré-Lyapunov”-like systems of three differential equations
On the Relation Between Algebraic Stability and B-Convergence for Runge-Kutta Methods.
On the Right Focal Point Boundary Value Problems for Linear Ordinary Differential Equations
Scopo della presente Nota è quello di fornire una maggiorazione della lunghezza dell'intervallo sul quale il problema (1) (2) (3) ammette soltanto la soluzione nulla.
On the solutions of -th order nonlinear differential equation in
On the tangential velocity arising in a crystalline approximation of evolving plane curves
In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation.
On the unique solvability of the Runge-Kutta equations.
On the Zero Stability of the Variable Order Variable Stepsize BDF-Formulas.
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.