Surveys in Mathematics and its Applications

ISSN 1842-6298
 Volume 2 (2007), 11 - 20

ADOMIAN DECOMPOSITION METHOD FOR NONLINEAR STURM-LIOUVILLE PROBLEMS

Sennur Somali and Guzin Gokmen

Abstract. In this paper the Adomian decomposition method is applied to the nonlinear Sturm-Liouville problem

-y'' + y(t)p=λy(t), y(t) > 0, t ∊ I = (0, 1), y(0) = y(1) = 0,

where p > 1 is a constant and λ > 0 is an eigenvalue parameter. Also, the eigenvalues and the behavior of eigenfuctions of the problem are demonstrated.

2000 Mathematics Subject Classification: 34L16.
Keywords: Adomian decomposition method, nonlinear Sturm-Liouville problem.

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Sennur Somali Guzin Gokmen
Dokuz Eylul University, Dokuz Eylul University,
Department of Mathematics, Department of Mathematics,
Tinaztepe Kampusu, 35160 Buca, Izmir, Tinaztepe Kampusu, 35160 Buca, Izmir,
Turkey. Turkey.
e-mail: sennur.somali@deu.edu.tr guzin.gokmen@deu.edu.tr

http://www.utgjiu.ro/math/sma