EXISTENCE OF POSITIVE SOLUTIONS FOR SUPERLINEAR SEMIPOSITONE $m$-POINT BOUNDARY-VALUE PROBLEMS

By Ruyun Ma. Proceedings of the Edinburgh Mathematical Society, 2003

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A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions (2014, background): “Green’s functions for the second- and higherorder boundary problems with various NCs were constructed by Anderson [3, 4], Webb and Infante [82,83,85,86,226,227], Ma and An [121,124,126], Sun [221], Truong, Ngoc and Long [222], Yang [236], Zhao [240,241], Xie, Liu and Bai [233] and other scientists.”
Positive solutions of a second-order integral boundary value problem (2006, background): “When a(t) ≡ 1, b(t) ≡ 0, H1(x) ≡ x ≡ H2(x), γ0 = γ1 = 0, α and β are step functions on [0,1] (either α or β may be identical to 0), (1) reduces to a multi-point boundary value problem, which arises in many applied sciences, for example, in theory of elastic stability (see [21,23]), and which has thu”
Singular second-order multipoint dynamic boundary value problems with mixed derivatives (2006, background): “been investigated for the nonsingular case by some authors, see He [10]; when T = R ,t he problem (1.2) has been studied for the nonsingular case by Gupta et al. [9 ]a nd Ma [ 14 ] to name a few.”
A Survey On Nonlocal Boundary Value Problems (2007, methodology): “Fortunately, we can construct Green’s functions for multi-point BVPs (34),(35) and (36),(37) via the Green’s functions of the corresponding two-point BVPs, see [102, 84].”