Open AccessExistence of positive solutions to BVPs of higher order delay differential equations
Author(s) -
Jianhua Shen,
Jayson Dong
Publication year - 2009
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0148
Subject(s) - mathematics , fixed point theorem , eigenvalues and eigenvectors , singularity , order (exchange) , nonlinear system , differential equation , delay differential equation , mathematical analysis , cone (formal languages) , algorithm , physics , finance , quantum mechanics , economics
The paper is concerned with the existence of positive solutions for the nonlinear eigenvalue problem with singularity and the superlinear semipositone problem of higher order delay differential equations. The main results are obtained by using Guo-Krasnoselskii’s fixed point theorem in cones. These results extend some of the existing literature.