Richard I. Avery, John M. Davis, & Johnny Henderson
We study the existence of solutions to the fourth order Lidstone boundary value problem
By imposing growth conditions on 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.
Submitted December 6, 1999. Published May 23, 2000.
Math Subject Classifications: 34B18, 34B27, 39A12, 39A99.
Key Words: Lidstone boundary value problem, Green's function, multiple solutions, fixed points, difference equation.
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|Richard I. Avery |
College of Natural Sciences, Dakota State University
Madison, SD 57042, USA
|John M. Davis |
Department of Mathematics, Baylor University
Waco, TX 76798, USA
|Johnny Henderson |
Department of Mathematics, Auburn University
Auburn, AL 36849, USA