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Implicit function theorem and its application to a Ulam's problem for exact differential equations
- Authors
- Jung, Soon-Mo
- Issue Date
- Nov-2010
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- Implicit function theorem; Ulam' s problem; Hyers-Ulam-Rassias stability; exact differential equation; potential function
- Citation
- ACTA MATHEMATICA SINICA-ENGLISH SERIES, v.26, no.11, pp.2085 - 2092
- Journal Title
- ACTA MATHEMATICA SINICA-ENGLISH SERIES
- Volume
- 26
- Number
- 11
- Start Page
- 2085
- End Page
- 2092
- ISSN
- 1439-8516
- Abstract
- 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.
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