Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order
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 implications on the asymptotic behavior of nonlinear systems.
Stability of a two-strain tuberculosis model with general contact rate.
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...
Stability of unique pseudo almost periodic solutions with measure
By means of the fixed-point methods and the properties of the -pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the -pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where is a positive measure. A numerical example is given to illustrate our main results.
Stability results for a class of differential equation and application in medicine.
Stable closed orbits in plane autonomous dynamical systems.
Stationary groups of linear differential equations
Statistical mechanics of nonlinear wave equations
Steepest descent method on a Riemannian manifold: the convex case.
Stejnoměrná stabilita a stejnoměrná asymptotická stabilita množin vzhledem k spojitému toku
Stochastically perturbed allelopathic phytoplankton model.
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...
Stress-controlled hysteresis and long-time dynamics of implicit differential equations arising in hypoplasticity
A long-time dynamic for granular materials arising in the hypoplastic theory of Kolymbas type is investigated. It is assumed that the granular hardness allows exponential degradation, which leads to the densification of material states. The governing system for a rate-independent strain under stress control is described by implicit differential equations. Its analytical solution for arbitrary inhomogeneous coefficients is constructed in closed form. Under cyclic loading by periodic pressure, finite...
Strict disconjugacy of -th order linear differential equations with delays
Strong oscillations for second order nonlinear functional differential equations.
Studies on the differential equations of enzyme kinetics. I. Bimolecular scheme: simplified model.