Periodic solutions to retarded and partial functional differential equations.
Periodic solutions to second order differential equations of Liénard type with jumping nonlinearities
Periodic solutions with prescribed minimal period for convex autonomous hamiltonian systems.
Periodic trajectories for evolution equations in Banach spaces.
Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice
In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.
Periodical solutions of some differential equations with small parameter
Périodicite des solutions d'equations differentielles dans les espaces de Banach.
Periodicity and stability results for solutions of some fifth order nonlinear differential equations
Periodicity of mild solutions to higher order differential equations in Banach spaces.
Permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients.
Permanence in logistic and Lotka-Volterra systems with dispersal and time delays.
Permanence of a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response.
Permanence of periodic predator-prey system with functional responses and stage structure for prey.
Permanence of periodic predator-prey system with general nonlinear functional response and stage structure for both predator and prey.
Permanence of predator-prey system with infinite delay.
Persistence and extinction of a stochastic delay predator-prey model under regime switching
The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.
Persistence and extinction of single population in a polluted environment.
Persistence of Crandall-Rabinowitz type bifurcations under small perturbations.
Perturbation of Hamiltonian Systems with Keplerian Potentials.
Perturbation singulière en dimension trois : canards en un point pseudo-singulier nœud
On étudie les systèmes différentiels singulièrement perturbés de dimension 3 du typeoù , , sont analytiques quelconques. Les travaux antérieurs étudiaient les points réguliers où la surface lente est transverse au champ rapide vertical. C’est le domaine d’application du théorème de Tikhonov. Dans d’autres travaux antérieurs, on étudiait les singularités de certains types : plis et fronces de la surface lente, ainsi que certaines singularités plus compliquées, analogues aux points tournants...