New results on asymptotic behavior of solutions of certain third-order nonlinear differential equations
New results on stability of periodic solution for CNNs with proportional delays and operator
The problems related to periodic solutions of cellular neural networks (CNNs) involving operator and proportional delays are considered. We shall present Topology degree theory and differential inequality technique for obtaining the existence of periodic solution to the considered neural networks. Furthermore, Laypunov functional method is used for studying global asymptotic stability of periodic solutions to the above system.
Nonexistence of nontrivial periodic solutions to a class of nonlinear differential equations of eighth order.
Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations.
Nonnegative point spectrum for differential equations with infinite delays
Nonoscillation and asymptotic behaviour for third order nonlinear differential equations
In this paper we consider the equation where are real valued continuous functions on such that , and is continuous in such that for . We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied.
Note on a non-oscillation theorem of Atkinson.
Note to the Lagrange stability of excited pendulum type equations
O některých nelineárních diferenciálních rovnicích třetího řádu
On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls.
On a geometrical study of population ecosystems.
On a “Liapunov like” function for an equation with a complex-valued function
On a periodic predator-prey system with Holling III functional response and stage structure for prey.
On a periodic time-dependent model of population dynamics with stage structure and impulsive effects.
On algebraic approach in quadratic systems.
On almost specification and average shadowing properties
We study relations between the almost specification property, the asymptotic average shadowing property and the average shadowing property for dynamical systems on compact metric spaces. We show implications between these properties and relate them to other important notions such as shadowing, transitivity, invariant measures, etc. We provide examples showing that compactness is a necessary condition for these implications to hold. As a consequence, we also obtain a proof that limit shadowing in...
On an asymptotic behaviour of solutions of the differential equation of the fourth order
On asymptotic behavior of solutions of second order linear differential equations.
On asymptotic behaviour of oscillatory solutions for fourth order differential equations.
On asymptotic decaying solutions for a class of second order differential equations
The author considers the quasilinear differential equations By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations.