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Implicit Function Theorem and Its Application to a Ulam's Problem for Exact Differential Equations 被引量:1
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作者 Soon-Mo JUNG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第11期2085-2092,共8页
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)... 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. 展开更多
关键词 implicit function theorem ulam's problem hyers-ulam-rassias stability exact differ-ential equation potential function
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