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Zbl 1068.34013
Franco, Daniel; O'Regan, Donal; Perán, Juan
Fourth-order problems with nonlinear boundary conditions. (English)
[J] J. Comput. Appl. Math. 174, No. 2, 315-327 (2005). ISSN 0377-0427

The authors consider monotone-type and nonmonotone boundary conditions for fourth-order ordinary differential equations.\par In each of the two types of problems an existence result is established. The proofs (especially in monotone case) are technically complicated.
[Lech Górniewicz (Toruń)]
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE

Keywords: Fourth-order nonlinear boundary value problems; Lower and upper solutions; Beam equation.

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