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An application of a fixed point theorem in cone metric spaces for solving differential equations


Monica LauranAndrei Horvat-Marc


Abstract

creative_2013_22_1_065_071_abstract

In this paper we establish sufficient conditions for the existence and uniqueness of solutions for third order differential equations using a fixed point theorem in cone metric space. The presented result is based on some properties of invertible operators and extends several well-known comparable results in the literature.

Additional Information

Author(s)

Horvat-Marc, Andrei, Lauran, Monica