Asymptotic distributions of Neumann problem for Sturm-Liouville equation

Document Type : Research Paper

Authors

University of Bonab, Bonab, Iran

Abstract

In this paper we apply the Homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of Sturm-liouville type on $[0,pi]$ with Neumann conditions $(y'(0)=y'(pi)=0)$ where $q$ is a real-valued Sign-indefinite number of $C^{1}[0,pi]$ and $lambda$ is a real parameter.

Keywords

References

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History

• Receive Date: 17 January 2014
• Revise Date: 10 May 2014
• Accept Date: 28 April 2014