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An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems
Barbashin-Kraso vski-LaSalle Theorem Class of Nonautonomous Systems
2015/9/29
An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems.
Pullback attractors for a singularly nonautonomous plate equation
pullback attractors nonautonomous plate equation upper-semicontinuity
2011/2/24
We consider the family of singularly nonautonomous plate equation with structural damping
utt + a(t, x)ut + (−)ut + (−)2u + u = f(u),in a bounded domain ⊂ Rn, with Navier bounda...
Existence of Doubly-Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Differential Equations
weight weighted pseudo-almost periodic doubly-weighted Bohr spectrum
2011/2/21
The main objective of this paper is twofold. We first show that if the doublyweighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum o...
On Integrability of Nonautonomous Nonlinear Schroedinger Equations
Nonlinear Schr¨odinger equations generalized harmonic oscillators
2011/2/21
We show, in general, how to transform nonautonomous nonlinear Schr¨odinger equation
with quadratic Hamiltonians into the standard autonomous form that is completely integrable by the familiar inverse...
Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients
Inhomogeneous NLS equation with variable coefficients Similarity transformation
2010/12/16
The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear Schr¨odinger equation with variable coefficients in terms of rational-like functions by using the similarity transforma...
Viability Results for Nonautonomous DiÞerential Inclusions
Viability Results Nonautonomous DiÞ erential Inclusions
2009/1/19
We obtain measurable viability results for the diÞerential inclusion y0(t) 2 F(t; y(t)) via the approximation of F through the Aumann integral means. The admissibility of a preorder is also stud...
APPROXIMATE CONTROLLABILITY OF NONAUTONOMOUS PAST DELAY EQUATIONS
Partial differential equations with delay semigroup resolvent approximate controllability population equation
2008/11/25
In this paper, we study the approximate controllability of partial differential equations with
nonautonomous past delay in Lp -phase spaces. We illustrate our abstract results by the approximate
con...
Persistence and Periodic Solution on a Nonautonomous SIS Model with Delays
time delay liapunov functional persistence
2007/12/11
An SIS model with periodic maximum infectious force, recruitment rate and the removal rate of the infectives has been investigated in this article. Sufficient conditions for the permanence and extinct...
Periodic Solution of a Nonautonomous Diffusive Food Chain System of Three Species with Time Delays
diffusive food chain system positive periodic solution
2007/12/11
By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous diffusive food chain system of three species. { dx_1(t)/dt = x_1(t)[r_...
THE EXTINCTION IN NONAUTONOMOUS PREY-PREDATORLOTKA-VOLTERRA SYSTEMS
Nonautonomous Lotka-Volterra
2007/12/11
In this paper some new criteria about the extinction of solutions for two dimensional nonautonomous prey-predator Lotka-Volterra systems are established. The criteria obtained improve the results by G...
Permanence in Nonautonomous Predator-prey Lotka-Voterra Systems
nonautonomous lotka-volterra system
2007/12/10
In this paper some easily verifiable sufficient conditions on the permanence of solutions for general nonautonomous two-species predator-prey model are established. These new criteria improve and exte...