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A global implicit function theorem and its applications to functional equations

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  • The main result of the paper is a global implicit function theorem. In the proof of this theorem, we use a variational approach and apply Mountain Pass Theorem. An assumption guarantying existence of an implicit function on the whole space is a Palais-Smale condition. Some applications to differential and integro-differential equations are given.
    Mathematics Subject Classification: Primary: 26B10, 47J07.


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