Electron. J. Diff. Equ., Vol. 2010(2010), No. 176, pp. 1-12.

Multiple positive solutions for a nonlinear 3n-th order three-point boundary-value problem

K. L. Saraswathi Devi, Kapula R. Prasad

Abstract:
In this article we establish the existence of at least three positive solutions for 3n-th order three-point boundary value problem by using five functional fixed point theorem. We also establish the existence of at least 2m-1 positive solutions of the problem for arbitrary positive integer m.

Submitted June 23, 2010. Published December 17, 2010.
Math Subject Classifications: 34B18, 34A10.
Key Words: Boundary value problem; multiple positive solutions; fixed point; cone.

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K. L. Saraswathi Devi
Department of Applied Mathematics, Andhra University
Visakhapatnam, 530 003, India.
Ch. S. D. St. Theresa's Degree College for Women
Eluru, 534 003, India
email: saraswathikatneni@gmail.com
Kapula Rajendra Prasad
Department of Applied Mathematics, Andhra University
Visakhapatnam, 530 003, India
email: rajendra92@rediffmail.com

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