Mathematics and Statistics Vol. 3(3), pp. 71 - 74
DOI: 10.13189/ms.2015.030304
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Accurate Asymptotic Formulas for Eigenvalues of a Boundary-value Problem of Fourth Order

Karwan H. F. Jwamer ^1,*, Hawsar Ali HR ^2
1 Department of Mathematics, School of Science, University of Sulaimani, Iraq
² Department of Mathematics, School of Science Education, University of Sulaimani, Iraq

ABSTRACT

This paper deals with the behavior of the solution and asymptotic behaviors of eigenvalues of a fourth order boundary value problem, having the following definition: (1) with boundary conditions: Where and are real valued functions and ρ(χ)=1, and λ is a spectral parameter in which . Here it has been assumed that and .

KEYWORDS
Spectral Problem, Eigenvalues, Eigen Functions, Asymptotic Formulas

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Karwan H. F. Jwamer , Hawsar Ali HR , "Accurate Asymptotic Formulas for Eigenvalues of a Boundary-value Problem of Fourth Order," Mathematics and Statistics, Vol. 3, No. 3, pp. 71 - 74, 2015. DOI: 10.13189/ms.2015.030304.

(b). APA Format:
Karwan H. F. Jwamer , Hawsar Ali HR (2015). Accurate Asymptotic Formulas for Eigenvalues of a Boundary-value Problem of Fourth Order. Mathematics and Statistics, 3(3), 71 - 74. DOI: 10.13189/ms.2015.030304.