Regularity of potentials and removability of singularities of solutions of partial differential equations
Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces.
Regularity of the solutions of second order evolution equations and their attractors
Regularity Theorems and Optimal Errors Estimates for Linear Parabolic Cauchy Problems.
Regularization for evolution equations in Hilbert spaces involving monotone operators via the semi-flows method.
Regularization of closed-valued multifunctions in a non-metric setting
Regularization of Some Classes of Ultradistribution Semigroups and Sines
Regularized cosine existence and uniqueness families for second order abstract Cauchy problems
Let (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.
Regularized semigroups and systems of linear partial differential equations
Regularized Semigroups, Iterated Cauchy Problems and Equipartition of Energy.
Regularized trace of the Sturm-Liouville operator with irregular boundary conditions.
Regularized traces and conditions of smooth periodicity for the potential of Sturm-Liouville equation.
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 between limit-point and Dirichlet properties of second-order difference operators.
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