Monotone Methods for Nonlinear Differential Equations

碩士 === 國立政治大學 === 應用數學系 === 84 === In this paper, the existence of the solutions for nonlinear integro-differential equations and systems is discussed. First, by the assumption of weak upper and weak lower solutions for the given problem,...

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Bibliographic Details
Main Authors: Chang, Kai-Jiun, 張凱君
Other Authors: LONG-YI TSAI
Format: Others
Language:zh-TW
Published: 1996
Online Access:http://ndltd.ncl.edu.tw/handle/93091372695944981154
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Summary:碩士 === 國立政治大學 === 應用數學系 === 84 === In this paper, the existence of the solutions for nonlinear integro-differential equations and systems is discussed. First, by the assumption of weak upper and weak lower solutions for the given problem, we obtain the comparison result. Next, we provide the method of monotony and construct two sequences which converge monotonically to the solution.