# IJPAM: Volume 61, No. 1 (2010)

EIGENVALUE INTERVALS FOR -TH ORDER
THREE-POINT BOUNDARY VALUE PROBLEMS

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

Abstract.We study the existence of eigenvalue intervals of , for which there exist a positive solution with respect to a cone, of the -th order three-point boundary value problem

subject to general three-point boundary conditions

for where , and is continuous, is a parameter.

Received: April 24, 2010

AMS Subject Classification: 34B15, 39B18, 39A10

Key Words and Phrases: boundary value problem, eigenvalue interval, positive solution, cone

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 1