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

Related Articles

ARBITRARY ORDER RECURSIVE SEQUENCES AND ASSOCIATED CONTINUED FRACTIONS

The essential idea in this paper it to generalize and synthesize some of the pioneering ideas of Bernstein, Lucas and Horadam on generalizations of basic and primordial Fibonacci numbers and their arbitrary order general...

8 TH GRADE STUDENTS' ATTITUDES TOWARDS MATHEMATICS APPLIED GUIDANCE ACTIVITIES AND MATHEMATICS COURSE SUCCESS APPLIED GUIDANCE ACTIVITIES

The purpose of this study is to research the act of students' attitudes towards mathematics and mathematics course success to applying 8th grade students of guidance activities.This research is designed as pretest / post...

Quasiregular mapping that preserves plane

Quasiregular mappings are a natural generalization of analytic functions to higher dimensions. Quasiregular mappings have many properties. Our work in this paper is to prove the following theorem: If f  a b is a qu...

MATHEMATICAL ANALYSIS OF THE ROLE OF DETECTION RATE IN THE DYNAMICAL SPREAD OF HIV-TB CO-INFECTION

Human Immunodeficiency Virus (HIV) co-existing with Tuberculosis (TB) in individuals remains a major global health challenges, with an estimated 1.4 million patients worldwide. These two diseases are enormous public heal...

Adomian Decomposition Method for Solving Coupled KdV Equations

In this article, we study a numerical solution of the coupled kdv equation with initial condition by the Adomian Decomposition Method.The solution is calculated in the form of aconvergent power series with easily computa...

Download PDF file
  • EP ID EP651378
  • DOI 10.24297/jam.v9i2.2416
  • Views 181
  • 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