ADOMIAN DECOMPOSITION METHOD FOR NONLINEAR STURM-LIOUVILLE PROBLEMS

In this paper the Adomian decomposition method is applied to the nonlinear Sturm- Liouville problem y 00 + y(t) p = y (t), y(t) > 0, t 2 I = (0,1), y(0) = y(1) = 0, where p > 1 is a constant and > 0 is an eigenvalue parameter. Also, the eigenvalues and the behavior of eigenfuctions of the problem are demonstrated.

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