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Tamarkin. Ya.D, About some general problems of theory of ordinary linear Differential equations and about decomposition of arbitrary functions in series, Petrograd, 1917.

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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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