Differential Equations and Implicit Function: a Generalization of the near Operators Theorem
نویسندگان
چکیده
Many extensions of Implicit Function Theorem have been proposed for studying non linear differential equations and systems as the already classic Hildebrandt and Graves Theorem [7]. The global invertibility problem has been considered in several forms (see for example [2]), and the differentiability hypothesis has been weakened in various ways to face up different problems connected with differential equations. S. Campanato in [3] has introduced the notion of “near operators” for studying the existence of solutions of elliptic differential equations and systems.
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