eng Science and Education Publishing International Journal of Partial Differential Equations and Applications 2376-9556 2015-05-17 3 2 25 28 10.12691/ijpdea-3-2-1 IJPDEA2015321 article Asymptotic Behaviors of the Eigenvalues and Solution of a Fourth Order Boundary Value Problem Karwan H.F.Jwamer jwameri1973@gmail.com 1 Hawsar Ali 2 Department of Mathematics, School of Science, University of Sulaimani, Kurdistan Region, Iraq Department of Mathematics, School of Science Education, University of Sulaimani, Kurdistan Region, Iraq In this paper, we consider the spectral problem of the form: Where is a spectral parameter in which =+i, where ; p3(x), p4(x) and (x) are real valued functions and we assume that (x)>0, p4(x)C[0,a], p3(x)C2[0,a] and (x)C4[0,a]. Asymptotic formulas for eigenvalues and solutions of the consider boundary value problem are established. http://pubs.sciepub.com/ijpdea/3/2/1/ijpdea-3-2-1.pdf spectral problem eigenvalues eigenfunctions asymptotic formulas