Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2006; 43(6): 1253-1268

Printed November 1, 2006

Copyright © The Korean Mathematical Society.

Upper and lower solutions method for second order nonlinear four point boundary value problems

Rahmat Ali Khan, Juan J. Nieto, and Rosana Rodriguez-Lopez

National University of Sciences and Technology (NUST), Universidad de Santiago de Compostela, Universidad de Santiago de Compostela

Abstract

We develop the upper and lower solutions method for the four point problem relative to second order differential equations in order to obtain the existence of solution.

Keywords: second-order differential equations, four point problems, upper and lower solutions

MSC numbers: Primary 34A34, 34B10, 34B15