فهرست نشریات علمی دسترسی آزاد ایران

In this paper, a nonlinear eigenvalue problem consisting of a nonlinear Sturm-Liouville equation $-y''- q(x)y= \lambda q^{-1}(x) y^{r}$ with Dirichlet boundary conditions on the interval $(-1/2 , 1/2)$ is investigated, where $\lambda >0$ is the eigenparameter. We provide a simple scheme to obtain the asymptotic behavior of $L^{\ell}-$bifurcation curve $\lambda=\lambda_{\ell}(\gamma)$ as $\gamma\longrightarrow 0$, where $\gamma=|| y_{\lambda}||_{\ell}$, $\ell \geq 1$, and $y_{\lambda}$ is the solution of Dirichlet problem associated with $\lambda$.