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,...
Main Authors: | , |
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Other Authors: | |
Format: | Others |
Language: | zh-TW |
Published: |
1996
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Online Access: | http://ndltd.ncl.edu.tw/handle/93091372695944981154 |
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.
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