Fourth-order problems with nonlinear boundary conditions. (English) Zbl 1068.34013

Franco, Daniel; O’Regan, Donal; Perán, Juan

J. Comput. Appl. Math. 174, No. 2, 315-327 (2005).

The authors consider monotone-type and nonmonotone boundary conditions for fourth-order ordinary differential equations.
In each of the two types of problems an existence result is established. The proofs (especially in monotone case) are technically complicated.

Reviewer: Lech Górniewicz (Toruń)

MSC:

34B15

Nonlinear boundary value problems for ordinary differential equations

Keywords:

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

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