Jankowski, Tadeusz Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions. (English) Zbl 1200.34072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 5, 1289-1299 (2010). A certain non-local boundary value problem for a fourth-order nonlinear differential equation with a deviation is considered. The author investigates the problem both for advanced and delayed argument, and proves two multiplicity results by using the Avery-Peterson fixed-point theorem. An illustrative example is given as well. Reviewer: Jiří Šremr (Brno) Cited in 31 Documents MSC: 34K10 Boundary value problems for functional-differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:fourth-order nonlinear differential equation; integral boundary condition; positive solution; multiplicity; advanced argument; delay × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bai, D.; Xu, Y., Positive solutions of second-order two-delay differential systems with twin parameter, Nonlinear Anal., 63, 601-617 (2005) · Zbl 1091.34034 [2] Bai, D.; Xu, Y., Existence of positive solutions for boundary value problem of second-order delay differential equations, Appl. Math. 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