Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient
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.
Mamedov, K., & Cetinkaya, F. (2015). Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient. Hacettepe Journal of Mathematics and Statistics, 44(4), 867-874. https://izlik.org/JA84XP99MW
AMA
1.Mamedov K, Cetinkaya F. Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):867-874. https://izlik.org/JA84XP99MW
Chicago
Mamedov, K.r., and F.a. Cetinkaya. 2015. “Boundary Value Problem for a Sturm-Liouville Operator With Piecewise Continuous Coefficient”. Hacettepe Journal of Mathematics and Statistics 44 (4): 867-74. https://izlik.org/JA84XP99MW.
EndNote
Mamedov K, Cetinkaya F (August 1, 2015) Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient. Hacettepe Journal of Mathematics and Statistics 44 4 867–874.
IEEE
[1]K. Mamedov and F. Cetinkaya, “Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, pp. 867–874, Aug. 2015, [Online]. Available: https://izlik.org/JA84XP99MW
ISNAD
Mamedov, K.r. - Cetinkaya, F.a. “Boundary Value Problem for a Sturm-Liouville Operator With Piecewise Continuous Coefficient”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 1, 2015): 867-874. https://izlik.org/JA84XP99MW.
JAMA
1.Mamedov K, Cetinkaya F. Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient. Hacettepe Journal of Mathematics and Statistics. 2015;44:867–874.
MLA
Mamedov, K.r., and F.a. Cetinkaya. “Boundary Value Problem for a Sturm-Liouville Operator With Piecewise Continuous Coefficient”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, Aug. 2015, pp. 867-74, https://izlik.org/JA84XP99MW.
Vancouver
1.K.r. Mamedov, F.a. Cetinkaya. Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Aug. 1;44(4):867-74. Available from: https://izlik.org/JA84XP99MW
