- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 4
- Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient
Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient
Authors : K. R. Mamedov, F. A. Cetinkaya
Pages : 867-874
View : 15 | Download : 6
Publication Date : 2015-08-01
Article Type : Research
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