Periodic solutions with prescribed minimal period for convex autonomous hamiltonian systems.
Periodic trajectories for evolution equations in Banach spaces.
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 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.
Perturbation of Hamiltonian Systems with Keplerian Potentials.
Phase and dispersion theory of the differential equation in connection with the generalized Floquet theory
Phasenraum-Methoden zum Studium nichtlinearer Differentialgleichungen.
Positive oriented periodic solutions of the first-order complex ODE with polynomial nonlinear part.
Positive periodic solution for ratio-dependent -species discrete time system
In this paper, sharp a priori estimate of the periodic solutions is obtained for the discrete analogue of the continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modelling the dynamics of the competing preys and one predator having nonoverlapping generations. Based on more precise a priori estimate and the continuation theorem of the coincidence degree, an easily verifiable sufficient criterion of the existence of positive periodic solutions...
Positive periodic solutions for Liénard type -Laplacian equations.
Positive periodic solutions of -species neutral delay systems
In this paper, we employ some new techniques to study the existence of positive periodic solution of -species neutral delay system As a corollary, we answer an open problem proposed by Y. Kuang.
Positive periodic solutions to super-linear second-order ODEs
We study the existence and uniqueness of a positive solution to the problem with a super-linear nonlinearity and a nontrivial forcing term . To prove our main results, we combine maximum and anti-maximum principles together with the lower/upper functions method. We also show a possible physical motivation for the study of such a kind of periodic problems and we compare the results obtained with the facts well known for the corresponding autonomous case.
Properties of solutions of the differential equation xx'' - kx'...+ f(x) = 0.
Pružné kyvadlo pohledem teorie dynamických systémů