Year: 2015
Author: Qingliu Yao
Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 51–61
Abstract
The existence of positive solution is proved for a $(k, n − k)$ conjugate boundary value problem in which the nonlinearity may make negative values and may be singular with respect to the time variable. The main results of Agarwal et al. (Agarwal R P, Grace S R, O'Regan D. Semipositive higher-order differential equations. Appl. Math. Letters, 2004, 14: 201–207) are extended. The basic tools are the Hammerstein integral equation and the Krasnosel'skii's cone expansion-compression technique.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.01.06
Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 51–61
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: higher order ordinary differential equation boundary value problem semipositone nonlinearity positive solution.