International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2015, 3(2), 25-28
DOI: 10.12691/ijpdea-3-2-1
Open AccessArticle

Asymptotic Behaviors of the Eigenvalues and Solution of a Fourth Order Boundary Value Problem

Karwan H.F.Jwamer1, and Hawsar Ali2

1Department of Mathematics, School of Science, University of Sulaimani, Kurdistan Region, Iraq

2Department of Mathematics, School of Science Education, University of Sulaimani, Kurdistan Region, Iraq

Pub. Date: May 17, 2015

Cite this paper:
Karwan H.F.Jwamer and Hawsar Ali. Asymptotic Behaviors of the Eigenvalues and Solution of a Fourth Order Boundary Value Problem. International Journal of Partial Differential Equations and Applications. 2015; 3(2):25-28. doi: 10.12691/ijpdea-3-2-1

Abstract

In this paper, we consider the spectral problem of the form: Where λ is a spectral parameter in which λ=σ+iδ, where ; p3(x), p4(x) and ρ(x) are real valued functions and we assume that ρ(x)>0, p4(x)∈C[0,a], p3(x)∈C2[0,a] and ρ(x)∈C4[0,a]. Asymptotic formulas for eigenvalues and solutions of the consider boundary value problem are established.

Keywords:
spectral problem eigenvalues eigenfunctions asymptotic formulas

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