Title of article :
Convergence and stability for essentially strongly order-preserving semiflows
Author/Authors :
Taishan Yi، نويسنده , , Shangjiang Guo and Lihong Huang ، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
This paper is concerned with a class of essentially strongly order-preserving semiflows, which are defined on an ordered metric space and are generalizations of strongly order-preserving semiflows. For essentially strongly order-preserving semiflows, we prove several principles, which are analogues of the nonordering principle for limit sets, the limit set dichtomy and the sequential limit set trichotomy for strongly order-preserving semiflows. Then, under certain compactness hypotheses, we obtain some results on convergence, quasiconvergence and stability in essentially strongly order-preserving semiflows. Finally, some applications are made to quasimonotone systems of delay differential equations and reaction–diffusion equations with delay, and the main advantages of our results over the classical ones are that we do not require the delicate choice of state space and the technical ignition assumption
Keywords :
Convergence , delay differential equations , Essentially strongly order-preserving semiflow , Reaction–diffusion equations with delay , Quasiconvergence , stability
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS