Browsing by Author "Birhanu Moges"

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    The Hille - Yosida Theorem
    (Addis Ababa University, 2013-02) Birhanu Moges; Abdi Tadesse (PhD)
    The Hille - Yosida Theorem is one of the most useful tools in the study of existence of a unique solution for evolution problem i.e., 8< Du+au=0 Dt(0)=u0 + Au = 0; on [0;+1); u(0) = u0; where A is a maximal monotone operator. The aim of this project is to study the existence and uniqueness of solutions generated by maximal monotone operators in Hilbert spaces by applying Hille-Yosida Theorem for the evolution problem.