Monotone and convex positive solutions for fourth-order multi-point boundary value problems
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Boundary Value Problems 2011, 2011:21 doi:10.1186/1687-2770-2011-21Published: 5 September 2011
The existence results of multiple monotone and convex positive solutions for some fourth-order multi-point boundary value problems are established. The nonlinearities in the problems studied depend on all order derivatives. The analysis relies on a fixed point theorem in a cone. The explicit expressions and properties of associated Green's functions are also given.
MSC: 34B10; 34B15.