Periodic solutions for a third order differential equation under conditions on the potential.
Existence of positive solutions for a fourth-order multi-point beam problem on measure chains.
Solvability of some higher order two-point boundary value problems
Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line
This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.
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