Saroj Panigrahi†, Sandip Rout‡
Abstract: The authors study the existence of positive solutions of singular Sturm-Liouville boundary value problem (p(t)y (t)) + q(t)f(t y (t)) = 0 (a) < t < (b) with boundary conditions y( (a)) p( (a))y ( (a)) = 0 y( (b)) + p( (b))y ( (b)) = 0 on a measure chain, where > 0 and q is allowed to be singular at both end points t = (a) and t = (b). Weshall use a xed point theorem on a cone in a Banach space to obtain the existence of positive solutions for in a suitable interval of a measure chain. MSC: 34B15, 34B16, 34B18, 34N05, 39A10, 39A13.
MSC: 35J60, 35J67, 35J70.
DOI 10.56082/annalsarscimath.2022.1-2.141
†panigrahi2008@gmail.com, School of Mathematics and Statistics, University of Hyderabad, Hyderabad- 500 046, India
‡sandiprout7@gmail.com, School of Mathematics and Statistics, University of Hyderabad, Hyderabad- 500 046, India; This work was supported by University of Hyderabad, Hyderabad- 500 046, India.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 14 no 1-2, 2022
