Reguläre Eigenwertprobleme mit Mehrpunkt-Integral-Randbedingungen.
Regularization of closed-valued multifunctions in a non-metric setting
Regularly varying solutions of generalized Thomas-Fermi equations
Regularly Varying Solutions of Perturbed Euler Differential Equations and Related Functional Differential Equations
Regulatory network of drug-induced enzyme production: parameter estimation based on the periodic dosing response measurement
The common goal of systems pharmacology, i.e. systems biology applied to the field of pharmacology, is to rely less on trial and error in designing an input-output systems, e.g. therapeutic schedules. In this paper we present, on the paradigmatic example of a regulatory network of drug-induced enzyme production, the further development of the study published by Duintjer Tebbens et al. (2019) in the Applications of Mathematics. Here, the key feature is that the nonlinear model in form of an ODE system...
Relations among various criteria of uniqueness for ordinary differential equations
Relations between generalized solutions of ordinary differential equations
Relations de Fuchs pour les systèmes différentiels réguliers
Dans cet article, nous montrons que la notion analytique d’exposants développée par Levelt pour les systèmes différentiels linéaires en une singularité régulière s’interprète algébriquement en termes d’invariants de réseaux, relatifs à un réseau stable maximal que nous appelons « réseau de Levelt ». Nous obtenons en particulier un encadrement pour la somme des exposants des systèmes n’ayant que des singularités régulières sur ).
Relations linéaires entre solutions d'une équation différentielle
Relative boundedness and compactness theory for second-order differential operators.
Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control
This paper describes the controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Necessary and sufficient conditions for the controllability criteria for linear fractional delay system are established. Further sufficient conditions for the controllability of nonlinear fractional delay integrodifferential system are obtained by using fixed point arguments. Examples are provided to illustrate the results.
Remark in connection with an article of G. G. Hamedani: “Global existence of solutions of certain functional-differential equations” [Časopis Pěst. Mat. 106 (1981), 48-51]
Remark to transformations of linear differential and functional-differential equations
For linear differential and functional-differential equations of the -th order criteria of equivalence with respect to the pointwise transformation are derived.
Remarks concerning Driver's equation
We consider uniqueness for the initial value problem x' = 1 + f(x) - f(t), x(0) = 0. Several uniqueness criteria are given as well as an example of non-uniqueness.
Remarks concerning J. Witte's theorem and its applications
Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra
In this paper first order linear ordinary differential equations are considered. It is shown that the Cauchy problem for these systems has a unique solution in , where denotes the Colombeau algebra.
Remarks on Hausdorff continuous multifunction and selections
Remarks on multiple periodic solutions of nonlinear ordinary differential equations
Remarks on the Symmetry lie Algebras of first Integrals of Scalar third Order Ordinary Differential Equation with Maximal Symmetry
Remarks on the uniqueness of second order
We are concerned with the uniqueness problem for solutions to the second order ODE of the form , subject to appropriate initial conditions, under the sole assumption that is non-decreasing with respect to , for each fixed. We show that there is non-uniqueness in general; on the other hand, several types of reasonable additional assumptions make the problem uniquely solvable. The interest in this problem comes, among other, from the study of oscillations of lumped parameter systems with implicit...