Abstract
In this paper we consider the existence of at least one positive solution to a class of singular semipositone coupled system of nonlocal boundary value problems. We show that the system possesses at least one positive solution by using fixed point index theory. We remark that to some extent our systems and results generalize and extend some previous works.
Highlights
The theory of nonlocal and nonlinear boundary value problems and singular semipositone differential systems becomes an important area of investigation because of its wide applicability in control, electrical engineering, physics, chemistry fields, and so on
Many works have been done for a kind of nonlinear boundary value
Anderson [ ], Goodrich [, – ], and Infante et al [ – ]. These nonlocal nonlinear boundary conditions have been investigated by Goodrich [, ]
Summary
We consider the existence of at least one positive solution to the following singular semipositone coupled system of nonlocal boundary value problems:. Anderson [ ], Goodrich [ , – ], and Infante et al [ – ] In this paper, these nonlocal nonlinear boundary conditions have been investigated by Goodrich [ , ]. In [ ], Goodrich investigated the existence of positive solutions of the semipositone boundary value problems with nonlocal nonlinear boundary conditions. Goodrich [ ] investigated the existence of positive solutions of the coupled system of boundary value problems with nonlocal boundary conditions. Investigated the existence of at least one positive solution of the semipositone boundary value problems with nonlocal, nonlinear boundary conditions.
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