Solvability of a semilinear boundary value problem with respect to the first eigenvalue. (Solvabilité d'un problem aux limites semi-linéaire autour de la première valeur propre.)
Some Periodicity Criteria for Functional Differential Equations.
Some properties of collision and non-collision orbits for a class of singular dynamical systems
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
Some records on second order differential equations
Some remarks on an ODE-solver of Kirchgraber.
Some remarks on semilinear problems at resonance where the nonlinearity depends only on the derivatives
Some results on dynamical systems and their generalization
Stability and periodicity for linear differential equations with periodic coefficients
Stability, Boundedness and Existenceof Periodic Solutions to Certain Third Order Nonlinear Differential Equations
In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature.
Stability of periodic or anti-periodic solutions of certain differential systems. (Stabilité des solutions périodiques ou anti-périodiques de certains systèmes différentiels.)
Stability of periodic solutions in extended Gierer-Meinhardt model.
Stability of the Endemic Coexistence Equilibrium for One Host and Two Parasites
For an SI type endemic model with one host and two parasite strains, we study the stability of the endemic coexistence equilibrium, where the host and both parasite strains are present. Our model, which is a system of three ordinary differential equations, assumes complete cross-protection between the parasite strains and reduced fertility and increased mortality of infected hosts. It also assumes that one parasite strain is exclusively vertically...
Strategies for computation of Lyapunov exponents estimates from discrete data
The Lyapunov exponents (LE) provide a simple numerical measure of the sensitive dependence of the dynamical system on initial conditions. The positive LE in dissipative systems is often regarded as an indicator of the occurrence of deterministic chaos. However, the values of LE can also help to assess stability of particular solution branches of dynamical systems. The contribution brings a short review of two methods for estimation of the largest LE from discrete data series. Two methods are analysed...
Studium des Resonanzfalles bei gewöhnlichen linearen reduzierten Differentialgleichungen mit periodischen Koeffizienten
Subgroups of odd depth—a necessary condition
This paper gives necessary and sufficient conditions for subgroups with trivial core to be of odd depth. We show that a subgroup with trivial core is an odd depth subgroup if and only if certain induced modules from it are faithful. Algebraically this gives a combinatorial condition that has to be satisfied by the subgroups with trivial core in order to be subgroups of a given odd depth. The condition can be expressed as a certain matrix with -entries to have maximal rank. The entries of the matrix...
Subharmonic solutions for hamiltonian systems via a pseudoindex theory
Subharmonic solutions of a nonconvex noncoercive hamiltonian system
In this paper we study the existence of subharmonic solutions of the hamiltonian systemwhere is a linear map, is a -function and is a continuous function.
Subharmonic solutions of a nonconvex noncoercive Hamiltonian system
In this paper we study the existence of subharmonic solutions of the Hamiltonian system where u is a linear map, G is a C1-function and e is a continuous function.
Subharmonics near an equilibrium point for Hamiltonian systems.
Sufficient and necessary condition for the permanence of periodic predator-prey system.