Title of article :
EXISTENCE and NONEXISTENCE OF POSITIVE SOLUTIONS FOR A n-TH ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Author/Authors :
KAMESWARA RAO, A Department of Mathematics - Gayatri Vidya Parishad College of Engineering for Women - Madhurawada - Visakhapatnam, India , PRASAD, K.R Department of Applied Mathematics - Andhra University - Visakhapatnam, India , BHARATHI, B Department of Mathematics - Gayatri Vidya Parishad College of Engineering for Women - Madhurawada - Visakhapatnam, India
Abstract :
The purpose of this paper is to establish some results on the existence and
nonexistence of positive solutions for a type of nonlinear n-th order three-point boundary
value problems. The main tool is a fixed point theorem of the cone expansion and
compression of functional type due to Avery, Anderson, and O’Regan. Some examples
are presented to illustrate the availability of the main results.
Keywords :
positive solution , existence and nonexistence , boundary value problem , fixed point theorem
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
