POSITIVE SOLUTIONS OF m-POINT BOUNDARY-VALUE PROBLEMS

By Bai, Ding-yong, Xu, Yuantong. 2005

63 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d4f128c4ab2c4557827a49e6194c48d1939e43cf

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Citations in the corpus

Positive solutions to singular system with four-point coupled boundary conditions (2012, background): “Existence theory for boundary value problems (BVPs) of ordinary differential equations is well studied; we refer the readers to [1,6–10,20,25,26] and the reference therein for two-point BVPs and [14,17–19,29,31] for three-point BVPs, while for multi-point BVPs, we refer to [12,13,24,30].”
Positive Solutions of Nonlocal Boundary Value Problems: A Unified Approach (2006, background): “Zhang and Sun [31] proved a somewhat similar result, under stronger conditions on g and f , but only for m-point BCs, and they never discuss conditions when optimal results can be obtained.”
Non‐local boundary value problems of arbitrary order (2009, background): “A similar result was proved in [40] under stronger conditions on g and f , but only for specific m-point BCs and with a weaker version of (iv).”
Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions (2016, unknown): “Hence, many authors have investigated the existence of positive solutions for various fractional equation boundary value problems, and for details, the reader is referred to [2,3,4,5,10,11,12,14,15,16,20,21,22,24] and the references therein.”
Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type (2006, methodology): “Zhang and Sun, [25] also use index methods related to eigenvalues but only for the m-point BVPs.”