Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient

Authors : K.r. MAMEDOV, F.a. CETİNKAYA

Pages : 867-874

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Publication Date : 2015-08-01

Article Type : Research Paper

Abstract :In this paper, a self adjoint boundary value problem with a piecewise continuous coefficient on the positive half line [0 , ∞ ); is considered. The resolvent operator is constructed and the expansion formula with respect to eigenfunctions or equivalently Parseval equality is obtained. The spectrum of the operator is discussed. 
Keywords : turm Liouville operator, eigenvalue, eigenfunction, resolvent oper ator, expansion formula