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單調法在非線性微分方程式之研究 / Monotone Methods for Nonlinear Differential Equations

本文旨在討論非線性拋物型積分微分方程式(組)的解之存在性.首先藉由與上解及下解相關的若干假設,我們得到一個比較性的結果.然後我們利用單調法建構出兩個單調收歛到方程式解的序列,從而驗證了方程式解的存在性. / 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.

Identiferoai:union.ndltd.org:CHENGCHI/B2002002891
Creators張凱君, Chang, Kai-Jiun
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language中文
Detected LanguageEnglish
Typetext
RightsCopyright © nccu library on behalf of the copyright holders

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