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
On oscillatory solutions of second order differential systems
On parameter estimation in an in vitro compartmental model for drug-induced enzyme production in pharmacotherapy
A pharmacodynamic model introduced earlier in the literature for in silico prediction of rifampicin-induced CYP3A4 enzyme production is described and some aspects of the involved curve-fitting based parameter estimation are discussed. Validation with our own laboratory data shows that the quality of the fit is particularly sensitive with respect to an unknown parameter representing the concentration of the nuclear receptor PXR (pregnane X receptor). A detailed analysis of the influence of that parameter...