Ma, Ruyun A survey on nonlocal boundary value problems. (English) Zbl 1163.34300 Appl. Math. E-Notes 7, 257-279 (2007). In this survey, the author presents a collection of results on the existence and multiplicity of solutions for second order nonlocal boundary value problems (BVPs).In particular, the author illustrates some basic results present in literature on the following directions: solutions of BVPs without resonance, solutions of BVPs with resonance, positive solutions of multi-point BVPs, global continua of positive and nodal solutions of multi-point BVPs.The author also mentions some of the tools used to approach these types of problems and gives, at the end of the paper, a rich bibliography. Reviewer: Gennaro Infante (Arcavata di Rende) Cited in 45 Documents MSC: 34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations Keywords:Nonlocal boundary value problem; Positive solutions; Nodal solutions; Resonance PDFBibTeX XMLCite \textit{R. Ma}, Appl. Math. E-Notes 7, 257--279 (2007; Zbl 1163.34300) Full Text: EuDML EMIS