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SOLVABILITY OF DIFFERENTIAL EQUATIONS WITH PERIODIC OPERATOR COEFFICIENTS USING GREEN’S FUNCTION

Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.2, No. 3)

Publication Date:

Authors : ; ;

Page : 21-32

Keywords : Functional Differential Equations; Periodic Operator Coefficients; Green's Function;

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Abstract

In this paper, a Green’s function has been derived with which a theorem is established that proves the uniqueness of the solution of a second order functional differential equation with periodic operator coefficients under some conditions on the unbounded operator. This operator has a domain and a range belonging to Hilbert's Space.

Last modified: 2013-07-24 16:28:48