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Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions. (English) Zbl 1200.34072
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.
MSC:
34K10Boundary value problems for functional-differential equations
47N20Applications of operator theory to differential and integral equations