Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem.
Basic topological structures of the theory of ordinary differential equations
B-Convergence of Lobatto IIIC Formulas.
B-Convergence Properties of Defect Correction Methods. I.
B-Convergence Properties of Defect Correction Methods. II.
Bedingungen der Nicht-Oszillationsfähigkeit und der Oszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung
Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung ,
Behavior at infinity of psi-evanescent solutions to linear differential equations.
Behaviour of solutions of a fourth-order self-adjoint linear differential equation
Bemerkung über die Form der Integrale der linearen Differentialgleichungen mit veränderlichen Coefficienten.
Bemerkung zu einem Vergleichssatz für gewöhnliche lineare Differentialgleichungen.
Bemerkung zum Tschaplyginschen Satz über Differentialungleichungen
Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems
In this paper we consider Bessel equations of the type , where A is an nn complex matrix and X(t) is an nm matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
Beziehungen zwischen den Fundamentalintegralen einer linearen homogenen Differentialgleichung zweiter Ordnung
Beziehungen zwischen den Fundementalintegralen einer linearen homogenen Diefferentialgleichung zweiter Ordnung
Bifurcation of periodic and chaotic solutions in discontinuous systems
Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent achievements in this direction. Singularly perturbed problems are studied as well. Applications are given...
Bifurcation of periodic solutions in differential inclusions
Ordinary differential inclusions depending on small parameters are considered such that the unperturbed inclusions are ordinary differential equations possessing manifolds of periodic solutions. Sufficient conditions are determined for the persistence of some of these periodic solutions after multivalued perturbations. Applications are given to dry friction problems.
Bifurcation of periodic solutions to differential inequalities in
Bifurcation of periodic solutions to variational inequalities in based on Alexander-Yorke theorem
Variational inequalities are studied, where is a closed convex cone in , , is a matrix, is a small perturbation, a real parameter. The assumptions guaranteeing a Hopf bifurcation at some for the corresponding equation are considered and it is proved that then, in some situations, also a bifurcation of periodic solutions to our inequality occurs at some . Bifurcating solutions are obtained by the limiting process along branches of solutions to penalty problems starting at constructed...
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...