Positive solutions of a nonlinear m-point boundary value problem

By Ruyun Ma. 2001

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Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type (2006, methodology): “Some other authors have made the stronger assumptions that f is either sub- or super-linear, for example [19], [20].”
Positive solutions for systems of m‐point nonlinear boundary value problems (2008, background): “The importance of positive solutions for boundary value problems, both theoretically as well as from the perspective of their applications in physical and engineering sciences, has been well documented in the literature; see, for example, [1, 5, 6, 7, 9, 12, 13, 14, 16, 20, 27].”
Positive solutions of nonlocal boundary value problems involving integral conditions (2008, methodology): “2) has been studied by Ma [14] and Zhang and Sun [22] when all the αi are positive.”
Positive Solutions of Nonlocal Boundary Value Problems: A Unified Approach (2006, background): “2) with α[u] = 0 has been studied by several authors (see, for example, [17, 18, 31]) and for a more general equation in [22], but only when all of the βi are positive; we obtain the existence of positive solutions when some negative coefficients are allowed.”