Eigenvalue Problem with Moving Discontinuity Points

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 2

Abstract

In this paper, we present a Sturm Liouville problem which has discontinuities in the neighborhood of the midpoint of an interval. Also the problem contains an eigenparameter in one of the boundary conditions. We derive operator theoretic formulation in suitable Hilbert space, give some properties of the eigenvalues and obtain asymptotic formulas for the eigenvalues and the corresponding eigenfunctions.

Authors and Affiliations

Fatma Hira, Nihat Altinisik

Keywords

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  • EP ID EP651378
  • DOI 10.24297/jam.v9i2.2416
  • Views 182
  • Downloads 0

How To Cite

Fatma Hira, Nihat Altinisik (2014). Eigenvalue Problem with Moving Discontinuity Points. JOURNAL OF ADVANCES IN MATHEMATICS, 9(2), 2000-2010. https://europub.co.uk/articles/-A-651378