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Implicit Function Theorem and Its Application to a Ulam's Problem for Exact Differential Equations
Implicit Function Theorem and Its Application to a Ulam's Problem for Exact Differential Equations作者机构：Mathematics SectionCollege of Science and TechnologyHong-Ik University
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2010年第26卷第11期
页 面：2085-2092页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：Implicit function theorem Ulam＇s problem Hyers-Ulam-Rassias stability exact differ-ential equation potential function
摘 要：We prove a global version of the implicit function theorem under a special condition and apply this result to the proof of a modified Hyers-Ulam-Rassias stability of exact differential equations of the form, g（x, y） ＋ h（x, y）y＇ =0.
