Asymptotic relationships between the solutions of two second order differential equations
Asymptotic representations of oscillatory solutions of a nonlinear equation.
Asymptotic representations of solutions of the nonautonomous ordinary differential -th order equations
Asymptotic representations of some classes of solutions of nonautonomous ordinary differential -th order equations which somewhat are close to linear equations are established.
B-Convergence of Lobatto IIIC Formulas.
B-Convergence Properties of Defect Correction Methods. I.
B-Convergence Properties of Defect Correction Methods. II.
Biochemical network of drug-induced enzyme production: Parameter estimation based on the periodic dosing response measurement
The well-known bottleneck of systems pharmacology, i. e., systems biology applied to pharmacology, refers to the model parameters determination from experimentally measured datasets. This paper represents the development of our earlier studies devoted to inverse (ill-posed) problems of model parameters identification. The key feature of this research is the introduction of control (or periodic forcing by an input signal being a drug intake) of the nonlinear model of drug-induced enzyme production...
Boundary layer phenomenon for three -point boundary value problem for the nonlinear singularly perturbed systems
This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.
Boundary value problem for an infinite system of second order differential equations in spaces
The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo’s type fixed point theorem. The result is illustrated with help of an example.
Bounded solutions: differential vs difference equations.
Boundedness in functional dynamic equations on time scales.
Boundedness of solutions of a certain fifth-order nonlinear differential equations
Bounds for solutions of a nonlinear differential equation of the third order
Center manifold and exponentially-bounded solutions of a forced Newtonian system with dissipation.
Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
Collocation methods for differential-algebraic equations of index 3.
Common increasing dispersions of certain linear second order differential equations
Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.
Computing the differential of an unfolded contact diffeomorphism
Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of . Singularity classes containing bifurcation points with , are considered.
Conditions for the integrability of a second order nonlinear differential equation.