Positive solutions for systems of nth order three-point nonlocal boundary value problems

Existence and multiplicity for positive solutions of a system of higher-order multi-point boundary value problems

“…Some particular cases of the above problems have been studied in [6][7][8][9]12,13,15]. In recent years, the multi-point boundary value problems for secondorder or higher-order differential or difference equations/systems have been investigated by many authors, by using different methods such as fixed point theorems in cones, the Leray-Schauder continuation theorem and its nonlinear alternatives and the coincidence degree theory.…”

Eigenvalues for iterative systems of Sturm-Liouville fractional order two-point boundary value problems

“…638-653 , DOI: 10.2478/s13540-014-0190- 4 Much interest has been created in establishing positive solutions and multiple positive solutions for two-point, multi-point boundary value problems (BVPs) associated with integer and fractional order differential equations. To mention the related papers along these lines, we refer to Erbe and Wang [6], Davis, Henderson, Prasad and Yin [3] for integer order differential equations, Henderson and Ntouyas [9,10], Henderson, Ntouyas and Purnaras [11,12] for iterative systems of integer order differential equations, Bai and Lü [1], Zhang [24], Kauffman and Mboumi [13], Benchohra, Henderson, Ntoyuas and Ouahab [2], Su and Zhang [23], Khan, Rehman and Henderson [14] for fractional order differential equations.…”

Positive Solutions for a Higher-Order m-Point Boundary Value Problem

“…0 < η < 1, 0 < αη n−1 < 1, has been investigated in [8]. We also mention the paper [29], where the authors used the fixed-point index theory and they proved the existence of positive solutions for the system u (n) (t) + a 1 (t)f 1 (u(t), v(t)) = 0, 0 < t < 1, v (m) (t) + a 2 (t)f 2 (u(t), v(t)) = 0, 0 < t < 1, with the boundary conditions…”