On the existence of almost periodic Lyapunov functions for impulsive differential equations.
On the existence of oscillatory solutions in the Weisbuch-Salomon-Atlan model for the Belousov-Zhabotinskij reaction
The stability properties of solutions of the differential system which represents the considered model for the Belousov - Zhabotinskij reaction are studied in this paper. The existence of oscillatory solutions of this system is proved and a theorem on separation of zero-points of the components of such solutions is established. It is also shown that there exists a periodic solution.
On the global asymptotic stability problem and the Jacobian conjecture
On the instability of certain sixth-order nonlinear differential equations.
On the instability of linear nonautonomous delay systems
The unstable properties of the linear nonautonomous delay system , with nonconstant delay , are studied. It is assumed that the linear system is unstable, the instability being characterized by a nonstable manifold defined from a dichotomy to this linear system. The delay is assumed to be continuous and bounded. Two kinds of results are given, those concerning conditions that do not include the properties of the delay function and the results depending on the asymptotic properties of the...
On the links between limit characteristic zeros and stability properties of linear time-invariant systems with point delays and their delay-free counterparts.
On the oscillation of impulsively damped halflinear oscillators.
On the sign definiteness of Lyapunov functionals and stability of linear delay equations.
On the stability of a fractional-order differential equation with nonlocal initial condition.
On the stability of second order differential equations
On the stability of solutions of linear differential systems with slowly varying coefficients
On the stability of solutions to a class of nonlinear difference systems.
On the stability of some fractional-order non-autonomous systems.
On the stability of the solutions of certain fifth order non-autonomous differential equations
Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as .
On the theory of one-sided models in spaces with arbitrary cones.
On the -stability of systems of differential equations in the Routh-Hurwitz and the Schur-Cohn cases.
On the -exponentially asymptotic stability of linear systems of generalized ordinary differential equations.
On the -stability of impulsive dynamic system on time scales.
On uniform exponential stability of periodic evolution operators in Banach spaces.
On weak non-linearity of models of physical systems