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.
On Transformations of Graded Matrices, with Applications to Stiff ODE's.
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 unbounded positive solutions of nonlinear differential equations with oscillating coefficients
One parameter family of linear difference equations and the stability problem for the numerical solution of ODEs.
One-dimensional adaptive grid generation.
One-step and Extrapolation Methods for Differential-Algebraic Systems.
Optimal oscillatory time for a class of second order nonlinear dissipative ODE
Order results for Rosenbrock type methods on classes of stiff equations.
Ordinary differential systems describing hysteresis effects and numerical simulations.
Oscillation criteria for certain nonlinear fourth order equations.
Oscillation of a forced nonlinear differential equation
Oscillation of solutions of a non-linear delay differential equation of the fourth order
Oscillation theorems for certain nonlinear differential equations with deviating arguments
Oscillation theorems for nonlinear second order differential equations with a damping term
Oscillation theorems for third order nonlinear differential equations