A Note on the Covergence of Solutions of a System of Differential Equations.
A note on the semi-inverse approach to oscillation theory for ordinary second-order linear differential equations
A periodic boundary value problem in Hilbert space
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.
A Periodic Lotka-Volterra System
In this paper periodic time-dependent Lotka-Volterra systems are considered. It is shown that such a system has positive periodic solutions. It is done without constructive conditions over the period and the parameters.
A periodic model for the dynamics of cell volume
We prove the existence and uniqueness of a positive periodic solution for a model describing the dynamics of cell volume flux, introduced by Julio A. Hernández [Bull. Math. Biol. 69 (2007), 1631-1648]. We also show that the periodic solution is a global attractor. Our results confirm the conjectures made in an interesting recent book of P. J. Torres [Atlantis Press, 2015].
A predator-prey model with state dependent impulsive effects
We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.
A remark to the Floquet theorem for systems of linear differential equations
A remarkable periodic solution of the three-body problem in the case of equal masses.
A resonance problem for nonlinear Duffing equation
A second look at the first result of Landesman-Lazer type.
A simple model of thermoelectric oscillations
A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).
A simple proof of a semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities
A stability criterion for periodic systems with first integrals
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. I.
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. II.
A sufficient condition for the existence of multiple periodic solutions of differential inclusions
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A Time-dependent Biochemical System
A variational approach to homoclinic orbits in Hamiltonian systems.
A Viterbo-Hofer-Zehnder type result for hamiltonian inclusions