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Zbl 1200.34072
Jankowski, Tadeusz
Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions.
(English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 5, 1289-1299 (2010). ISSN 0362-546X

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.
[Jiří Šremr (Brno)]
MSC 2000:
*34K10 Boundary value problems for functional-differential equations
47N20 Appl. of operator theory to differential and integral equations

Keywords: fourth-order nonlinear differential equation; integral boundary condition; positive solution; multiplicity; advanced argument; delay

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