On boundedness and stability of solutions of nonlinear second order differential equations in Hilbert spaces
On consistency, stability and convergence of staggered solution procedures
The simultaneous and staggered procedures of solving a partitioned form of a coupled system of ordinary differential equations are presented. Formulas for errors are compared. Counter-examples for convergence with a constant number of iterations at each time step are given.
On difference schemes for quasilinear evolution problems.
On existence of Kneser solutions of a certain class of -th order nonlinear differential equations
The paper deals with existence of Kneser solutions of -th order nonlinear differential equations with quasi-derivatives.
On extremal solutions to infinite dimensional non-linear second order systems
On global transformations of ordinary differential equations of the second order
The paper describes the general form of an ordinary differential equation of the second order which allows a nontrivial global transformation consisting of the change of the independent variable and of a nonvanishing factor. A result given by J. Aczél is generalized. A functional equation of the form is solved on for ,
On Kneser-type solutions of sublinear ordinary differential equations
On -solutions of th order nonlinear differential equation
On meromorphic solutions of the Riccati differential equations
We investigate the growth and Borel exceptional values of meromorphic solutions of the Riccati differential equation w' = a(z) + b(z)w + w², where a(z) and b(z) are meromorphic functions. In particular, we correct a result of E. Hille [Ordinary Differential Equations in the Complex Domain, 1976] and get a precise estimate on the growth order of the transcendental meromorphic solution w(z); and if at least one of a(z) and b(z) is non-constant, then we show that w(z)...
On nonlinear differential systems with deviating arguments
On Nonlinear Equations of Evolution in Banach Spaces
On nonoscillatory solutions of a class of nonlinear differential equations
On numerical solution of ordinary differential equations with discontinuities
The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be .
On one problem of Smale.
On order 5 symplectic explicit Runge-Kutta Nyström methods.
On oscillation and boundedness of solutions of nonlinear differential equations
On oscillations of solutions and their derivatives in a nonlinear third-order differential equation
On oscillatory properties of solutions of a certain nonlinear third order differential equation
On oscillatory solution of the differential equations of the -th order
On oscillatory solutions of nonlinear differential equations of the -th order vanishing at infinity