Second-order nonlinear singular Sturm–Liouville problems with integral boundary conditions

A class of nonlocal indefinite differential systems

“…Such problems have been considered by many authors [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Specifically, Boucherif [19] exploited the fixed point theorem in cones to study the following problem: The author got several excellent results on the existence of positive solutions to problem (1.1).…”

“…where ε 3 satisfies 12) and δ(t) is defined in (3.6), A is defined in (3.2). Therefore, for any x ∈ K ∩ ∂ r , noticing (3.7), we get…”

The Iterative Solution of Generalized Sturm-Liouville Boundary Value Problem in Banach Spaces

“…Since then many authors studied more general nonlinear multi-point BVPs, see [5][6][7][8][9][10][11][12][13] for some references along this line. Recently, increasing attention is paid to question of positive solution for the Sturm-Liouville BVPs [14][15][16][17]. However, to the authors knowledge, few results concerning with this problem in Banach spaces can be found in the literature.…”

A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions

“…In [108], the second-order singular Sturm-Liouville integral boundary value problem was concerned and the existence of at least one positive solution was proved by Jiang, Liu, Wub. Ma and An [123] considered the nonlinear eigenvalue problems…”