Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems.
Asymptotic stability condition for stochastic Markovian systems of differential equations
Asymptotic stability of the zero solution for stochastic jump parameter systems of differential equations given by , where is a finite-valued Markov process and w(t) is a standard Wiener process, is considered. It is proved that the existence of a unique positive solution of the system of coupled Lyapunov matrix equations derived in the paper is a necessary asymptotic stability condition.
Asymptotic stability for second-order differential equations with complex coefficients.
Asymptotic stability in the Schauder fixed point theorem
This note presents a theorem which gives an answer to a conjecture which appears in the book Matrix Norms and Their Applications by Belitskiĭ and Lyubich and concerns the global asymptotic stability in the Schauder fixed point theorem. This is followed by a theorem which states a necessary and sufficient condition for the iterates of a holomorphic function with a fixed point to converge pointwise to this point.
Asymptotic stability of linear differential equations in Banach spaces
Asymptotic stability of switching systems.
Asymptotically linear solutions for some linear fractional differential equations.
Asymptotically periodic solutions for a class of nonlinear coupled oscillators.
Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities.
Asymptotische Eigenschaften der Lösungen des Systems
Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung
Attractors for nonautonomous multivalued evolution systems generated by time-dependent subdifferentials.
Banach function spaces and exponential instability of evolution families
In this paper we give necessary and sufficient conditions for uniform exponential instability of evolution families in Banach spaces, in terms of Banach function spaces. Versions of some well-known theorems due to Datko, Neerven, Rolewicz and Zabczyk, are obtained for the case of uniform exponential instability of evolution families.
Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation
The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012). In this article the Bautin bifurcation of the autonomous system associated with the modified generalized Van der Pol-Mathieu equation has been proved. The existence of limit cycles is studied and the Lyapunov quantities of the autonomous system associated with the modified Van der Pol-Mathieu equation are computed....
Behavior at infinity of psi-evanescent solutions to linear differential equations.
Bemerkungen zu Stabilitätsfragen für verallgemeinerte Differentialgleichungen
Bifurcation and stability of families of hyperbolic vector fields in dimension three
Bifurcation and total stability
Bifurcation diagram of a cubic three-parameter autonomous system.
Bifurcation of closed orbits from a limit cycle in