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Karwan. H.F.Jwamer, Aigounv G.A and Gajiva T.Yu, The study of the asymptotic behavior of the eigenvalues and the estimate for the kernel of the resolvent of an irregular boundary value problem generated by a differential equation of order four on the interval [0, a], Bulletin of Dagestan State University, Natural Sciences, Makhachkala(South of Russian), Vol.4, No.4, 2007, p. 93-97.

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Article

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

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


International Journal of Partial Differential Equations and Applications. 2015, Vol. 3 No. 2, 25-28
DOI: 10.12691/ijpdea-3-2-1
Copyright © 2015 Science and Education Publishing

Cite this paper:
Karwan H.F.Jwamer, 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.

Correspondence to: Karwan  H.F.Jwamer, Department of Mathematics, School of Science, University of Sulaimani, Kurdistan Region, Iraq. Email: jwameri1973@gmail.com

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.

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