Positive solutions for nonlinear nth-order singular eigenvalue problem with nonlocal conditions

51 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions (2014, background): “Hao, Liu, Wub, Sun [70] similar n-order problem considered under some conditions concerning the first eigenvalue corresponding to the relevant linear operator.”
Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives (2018, unknown): “[16] studied the existence of positive solutions of the following nth order differential equation: ⎧ ⎪⎨ ⎪⎩ u(n)(t) + λa(t)f (t, u(t)) = 0, t ∈ (0, 1), u(0) = u′(0) = · · · = u(n–2)(0) = 0, u(1) = ∫ 1 0 u(s) dA(s), where λ > 0 is a parameter, 0 ≤ := ∫ 1 0 tn–1 dA(t) < 1, a : (0, 1) →R+ is continuous ”