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The Study about the Almost Periodic Solution of Differential Equations

Author: XiaYongHui
Tutor: LinMuRen
School: Fuzhou University
Course: Applied Mathematics
Keywords: Exponential dichotomy Roughness Lyapunov function Almost Periodic Solutions for Global attractivity of
CLC: O175
Type: Master's thesis
Year: 2004
Downloads: 96
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Abstract


In this paper, several classes of ordinary differential equations, some sufficient conditions for these systems exist only almost periodic solutions . The paper is divided into two chapters . The first chapter consider two types of Almost Periodic perturbed system , the use of exponential dichotomy roughness theory and Contraction mapping principle , the system exists only almost periodic solutions and some sufficient conditions for bounded solutions to promote [ 3 4,7,8,9 ] . [ 1-4 ] consider the perturbed system , the use of compression mapping principle , some sufficient conditions for the system exists only almost periodic solutions and bounded solution . However , if extended to only Contraction Mapping Principle can not guarantee the system Existence and Uniqueness of Almost Periodic Solutions . Therefore, by using [7] exponential dichotomy roughness theory , under appropriate conditions , to obtain some sufficient conditions for the system exists only Almost Periodic Solutions . Chapter II considered a prey containing m and n are the prey of Almost Periodic Lotka-Volterra ecological models by constructing a suitable Lyapunov function , some sufficient conditions for the existence and uniqueness of global attractor Almost Periodic Solutions , extend and improve the results of the literature [ 18,19,23-26 ] 's the . The examples show that our method of judging the new , broad , easily verified .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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