Radial selfsimilar solutions of a nonlinear Ornstein-Uhlenbeck equation.
Razumikhin's method in the qualitative theory of processes with delay.
Regular Variation And Asymptotic Properties Of Solutions Of Nonlinear Differential Equations
Regular variation and asymptotic properties of solutions of nonlinear differential equations.
Regularly varying solutions of generalized Thomas-Fermi equations
Regularly Varying Solutions of Perturbed Euler Differential Equations and Related Functional 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 ).
Relationship between different types of stability for linear almost periodic systems in Banach spaces.
Remarks on some monotonicity conditions for the period function
We are interested in the optimality of monotonicity criteria for the period function of some planar Hamiltonian systems. This study is illustrated by examples.
Remarks on stability of inverted pendula.
Remarks on the Existence of Regularly Varying Solutions for Second Order Linear Differential Equations
Remarque sur la méthode de la variation de la constante généralisée
Remarque sur la stabilité dans le cas d'une équation linéaire à paramètre retardé avec une perturbation non linéaire
Repelling conditions for boundary sets using Liapunov-like functions. I. - Flow-invariance, terminal value problem and weak persistence
Representation of the set of mild solutions to the relaxed semilinear differential inclusion
We study the relation between the solutions set to a perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in a Banach space and the solutions set to the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of δ-solutions to the original problem.
Representations of solutions of periodic second order linear differential equations.
Resolvents, integral equations, limit sets
In this paper we study a linear integral equation , its resolvent equation , the variation of parameters formula , and a perturbed equation. The kernel, , satisfies classical smoothness and sign conditions assumed in many real-world problems. We study the effects of perturbations of and also the limit sets of the resolvent. These results lead us to the study of nonlinear perturbations.
Resommation des series formelles. Solutions d'équations différentielles linéaires ordinaires du second ordre dans le champ complexe au voisinage de singularités irrégulières.
Restricted total stability and total attractivity.
Retracts, fixed point index and differential equations.
Some problems in differential equations evolve towards Topology from an analytical origin. Two such problems will be discussed: the existence of solutions asymptotic to the equilibrium and the stability of closed orbits of Hamiltonian systems. The theory of retracts and the fixed point index have become useful tools in the study of these questions.