Global Asymptotic Behavior of
نویسندگان
چکیده
منابع مشابه
Global asymptotic behavior for delay dynamic equations
We give conditions under which the trivial solution of a first-order nonlinear variable-delay dynamic equation is asymptotically stable, for arbitrary time scales that are unbounded above. In an example, we apply our techniques to a logistic dynamic equation on isolated, unbounded time scales. c © 2006 Elsevier Ltd. All rights reserved. MSC: 39A10; 34B10
متن کاملGlobal Asymptotic Behavior of Solutions of a Semilinear Parabolic Equation
We study the large time behavior of solutions for the semilinear parabolic equation ∆u+V up−ut = 0. Under a general and natural condition on V = V (x) and the initial value u0, we show that global positive solutions of the parabolic equation converge pointwise to positive solutions of the corresponding elliptic equation. As a corollary of this, we recapture the global existence results on semil...
متن کاملOn Asymptotic Behavior of Global Solutions for Hyperbolic Hemivariational Inequalities
In this paper we study the existence of global weak solutions for a hyperbolic differential inclusion with a discontinuous and nonlinear multivalued term. Also we investigate the asymptotic behavior of solutions.
متن کاملGlobal Asymptotic Behavior of a Chemostat Model with Discrete Delays
This paper studies the global asymptotic behavior of an exploitative competition model between n species in a chemostat. The model incorporates discrete time delays to describe the delay in the conversion of nutrient consumed to viable biomass and hence includes delays simultaneously in variables of nutrient and species concentrations. In the case where only two species are engaged in competiti...
متن کاملGlobal Existence and Asymptotic Behavior for a Nonlinear Viscoelastic Problem
In this paper the nonlinear viscoelastic wave equation |ut|utt −∆u−∆utt + ∫ t 0 g(t− τ)∆u(τ)dτ − γ∆ut = b|u|p−2u is considered. Using the potential well method a global existence and an exponential decay result are proved. Moreover, for sufficiently large values of the initial data and for a suitable relation between p and the relaxation function g, we establish an unboundedness result.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2007
ISSN: 1687-1847
DOI: 10.1155/2007/41541