Some remarks on the terminal value problem in hereditary setting
Some results concerning second and third order neutral delay differential equations with piecewise constant argument
Some results in the theory of a third-order linear differential equation
Some results on dynamical systems and their generalization
Some results on geometrical approach to linear differential equations of the -th order (Preliminary communication)
Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments
Some results on the ultimate behavior of solutions of Volterra functional-differential equations
Some stability and boundedness results for the solutions of certain fourth order differential equations
Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with and the boundedness of all solutions of the equation (1.1) with . Our result includes and improves several results in the literature ([4], [5], [8]).
Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System
In this paper we investigate the role of spatial effects in determining the dynamics of a subclass of signalling pathways characterised by their ability to demonstrate oscillatory behaviour. To this end, we formulate a simple spatial model of the p53 network that accounts for both a negative feedback and a transcriptional delay. We show that the formation of protein density patterns can depend on the shape of the cell, position of the nucleus, and the protein diffusion rates. The temporal...
Special dispersions of the second order linear differential equations of a finite type special and their relation to the Kummer's transformation problem
Spectral properties of fourth order differential operators
Necessary and sufficient conditions for discreteness and boundedness below of the spectrum of the singular differential operator , are established. These conditions are based on a recently proved relationship between spectral properties of and oscillation of a certain associated second order differential equation.
Spectral properties of general self-adjoint, even order differential operators
Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom.
Spread Pattern Formation of H5N1-Avian Influenza and its Implications for Control Strategies
Mechanisms contributing to the spread of avian influenza seem to be well identified, but how their interplay led to the current worldwide spread pattern of H5N1 influenza is still unknown due to the lack of effective global surveillance and relevant data. Here we develop some deterministic models based on the transmission cycle and modes of H5N1 and focusing on the interaction among poultry, wild birds and environment. Some of the model parameters are obtained from existing literatures, and others...
Square-mean almost periodic solutions nonautonomous stochastic differential equations.
Stabilité locale des systèmes quadratiques
Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods
In this paper, an intermittent control approach with multiple switched periods is proposed for the robust exponential stabilization of uncertain complex-variable delayed nonlinear systems with parameters perturbation, in which the considered complex systems have bounded parametric uncertainties. Based on the Lyapunov stability theory and comparison theorem of differential equations, some stability criteria are established for a class of uncertain complex delayed nonlinear systems with parameters...
Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations
Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations
In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
Stability and boundedness of solutions of nonlinear vector differential equations of third order
The paper studies the equation in two cases: (i) , (ii) . In case (i), the global asymptotic stability of the solution is studied; in case (ii), the boundedness of all solutions is proved.