Stability and boundedness of solutions to certain fourth-order differential equations.
Stability and boundedness properties of solutions to certain fifth order nonlinear differential equations
Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay
In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.
Stability and optimal harvesting of a prey-predator model with stage structure for predator
The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.
Stability and periodicity for linear differential equations with periodic coefficients
Stability and ultimate boundedness of solutions to certain third-order differential equations.
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