Chapter 6 Nonlocal Initial and Boundary Value Problems: A Survey

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Stability Results for Implicit Fractional Pantograph Differential Equations via ϕ-Hilfer Fractional Derivative with a Nonlocal Riemann-Liouville Fractional Integral Condition (2020, background): “• In physical problems, the nonlocal condition yields an excellent results compared with the initial condition z(0) = z0 [59,60].”
Solutions of perturbed Hammerstein integral equations with applications (2016, methodology): “For an introduction to nonlocal problems we refer the reader to the reviews [12, 63, 68, 79, 88] and the papers [51, 52, 87].”
Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions (2013, unknown): “l=1 αijlw(ηijl) and αij [w] = ∫ 1 0 αij(s)w(s) ds, see for example [17, 16, 24, 25, 27, 28, 34, 37, 42, 44].”
A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions (2014, background): “We can find more results on the existence and multiplicity of solutions of nonlocal BVP involving the second-order ordinary differential equations in surveys of Ma [125] and Ntouyas [144].”