Abstract
Existence of symmetric positive solutions for a singular system with coupled integral boundary conditions
Highlights
This paper is concerned with the existence of symmetric positive solutions for the following singular fourth-order boundary value system with coupled integral boundary conditions (BCs)
The existence of at least one symmetric positive solution was obtained by the application of the fixed point index in cones
BCs in various fields of sciences and engineering, we study the existence of symmetric positive solutions to a singular system (1.1)
Summary
This paper is concerned with the existence of symmetric positive solutions for the following singular fourth-order boundary value system with coupled integral boundary conditions (BCs). Ma [14] studied the existence of a symmetric positive solution for the following singular fourth-order nonlocal boundary value problem u (t) = h(t) f (t, u(t)), 0 < t < 1, u(0) = u(1) = p(s)u(s)ds, u (0) = u (1). The existence of at least one symmetric positive solution was obtained by the application of the fixed point index in cones. BCs in various fields of sciences and engineering, we study the existence of symmetric positive solutions to a singular system (1.1). To the best knowledge of the authors, there is no earlier literature studying the existence of symmetric positive solutions for boundary value system with coupled integral.
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