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

Effects of Gravity Modulation and Internal Heat Generation on the onset of Rayleigh-Benard convection in a Micropolar Fluid

The effect of gravity modulation (time periodic body force or g-jitter) on the onset of Rayleigh-Bénard convection in a micropolar fluid with internal heat generation is investigated by making a linear stability analysi...

On Almost C(a)-Manifold Satisfying Some Conditions On The Weyl Projective Curvature Tensor

In the present paper, we have studied the curvature tensors of almost C()-manifolds satisfying the conditions P(,X)R = 0, P(,X) e Z = 0, P(,X)P = 0, P(,X)S = 0 and P(,X) e  C = 0. According...

Attracting Sets Of Nonlinear Difference Equations With Time-Varying Delays

In this paper, a class of nonlinear difference equations with time-varying delays is considered. Based on a generalized discrete Halanay inequality, some sufficient conditions for the attracting set and the global a...

Fully Pseudo Stable Systems

In this work, the notion of full pseudo-stability has been introduced and studied, which is a generalization of full stability. We obtain a characterization of full pseudo-stability analogous to that of full stability. C...

Stability Analysis of Gompertz tumour growth model Parameters

The stability analysis of Gompertz tumour growth model Parameter with respect to the tumour volume size leads us to conclude the constancy of Gompertz tumour growth parameter.

Download PDF file
  • EP ID EP651378
  • DOI 10.24297/jam.v9i2.2416
  • Views 162
  • 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