PROMOTING ACCESS TO AFRICAN RESEARCH

Quaestiones Mathematicae

Log in or Register to get access to full text downloads.

Remember me or Register



DOWNLOAD FULL TEXT Open Access  DOWNLOAD FULL TEXT Subscription or Fee Access

Eigenvalues of sturm-liouville problems with distribution potentials on time scales

Ji-Jun Ao, Juan Wang

Abstract


The eigenvalues of a class of Sturm-Liouville problems with distribution potentials and eigenparameter-dependent boundary conditions on bounded time scales are investigated. By treating with the eigenparameter-dependent boundary condition, the governing equation with distribution potential and time scales, the results of finite number of eigenvalues are obtained. The results show that the number of eigenvalues depend on the partition of time scale and the eigenparameterdependent boundary conditions given, but is independent on the distribution potentials.

Key words: Sturm-Liouville problems, time scales, distribution potentials, eigenvalues, eigenparameter-dependent boundary conditions.




AJOL African Journals Online