Periodic solutions to certain evolution inequalities
Periodic solutions to evolution equations: existence, conditional stability and admissibility of function spaces
We prove the existence and conditional stability of periodic solutions to semilinear evolution equations of the form u̇ = A(t)u + g(t,u(t)), where the operator-valued function t ↦ A(t) is 1-periodic, and the operator g(t,x) is 1-periodic with respect to t for each fixed x and satisfies the φ-Lipschitz condition ||g(t,x₁) - g(t,x₂)|| ≤ φ(t)||x₁-x₂|| for φ(t) being a real and positive function which belongs to an admissible function space. We then apply the results to study the existence, uniqueness...
Periodic solutions to Lagrangian system
A classical mechanics Lagrangian system with even Lagrangian is considered. The configuration space is a cylinder . A large class of nonhomotopic periodic solutions has been found.
Periodic solutions to nonlinear differential equations.
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.