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# Three Symmetric Positive Solutions for Lidstone Problems by a Generalization of the Leggett-williams

@inproceedings{DavisThreeSP, title={Three Symmetric Positive Solutions for Lidstone Problems by a Generalization of the Leggett-williams}, author={John M. Davis and Johnny Henderson} }

We study the existence of solutions to the fourth order Lidstone boundary value problem y(t) = f(y(t),−y(t)), y(0) = y(0) = y(1) = y(1) = 0 . By imposing growth conditions on f and using a generalization of the multiple fixed point theorem by Leggett and Williams, we show the existence of at least three symmetric positive solutions. We also prove analogous results for difference equations.

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