EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS

By Gennaro Infante. 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.”
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains (2014, unknown): “Regarding k2, this has been studied in [22]; we may take Φ2(s) = 1− s, arbitrary [a2, b2] ⊂ [0, ξ] and c2 = 1− α2 − ξ.”
Solutions of perturbed Hammerstein integral equations with applications (2016, unknown): “Regarding k2, this has been studied in [33]; we may take Φ2(s) = 1− s, arbitrary [a2, b2] ⊂ [0, ξ] and c̃2 = 1− β2 − ξ.”
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”