On oscillatory solutions of third-order linear differential equations
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...
On Peano's theorem in locally convex spaces
On periodic boundary value problems of first-order perturbed impulsive differential inclusions.
On perturbed iterative linear differential equations of order .
On phases of accompanying spaces to a linear two-dimensional space of functions with a continuous first derivative
On plane polynomial vector fields and the Poincaré problem.
On point dissipative -dimensional systems of differential equations with quadratic nonlinearity.
On point-dissipative systems of differential equations with quadratic nonlinearity.
On Positive Entire Solutions of a Class of Second Order Semilinear Elliptic Systems.
On positive solutions for a nonlinear boundary value problem with impulse
In this paper we study nonlinear second order differential equations subject to separated linear boundary conditions and to linear impulse conditions. Sign properties of an associated Green’s function are investigated and existence results for positive solutions of the nonlinear boundary value problem with impulse are established. Upper and lower bounds for positive solutions are also given.
On positive solutions of a class of second order nonlinear differential equations on the halfline
The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
On positive solutions of equations with two middle terms
On projective equivalence of univariate polynomial subspaces.
On properties of nonlinear second-order systems under nonlinear impulse perturbations.
On quasimonotone increasing systems of ordinary differential equations.
On rectifiable oscillation of Euler type second order linear differential equations.
On reducibility of linear quasiperiodic systems with bounded solutions.
On relation between stability and correctness of linear systems of generalized ordinary differential equations.
On relations among dispersions of an oscillatory differential equation