University of Tabriz Computational Methods for Differential Equations 2345-3982 2 1 2014 07 01 Asymptotic distributions of Neumann problem for Sturm-Liouville equation 19 25 1322 EN Hamidreza Marasi University of Bonab, Bonab, Iran Esmail Khezri University of Bonab, Bonab, Iran Journal Article 2014 01 17 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. https://cmde.tabrizu.ac.ir/article_1322_90f31a367ef89be733f0c5ba5934a118.pdf