Solutions for 2n^{th} order lidstone BVP on time scales

Authors

ERBİL ÇETİN
S. GÜLŞAN TOPAL

DOI

10.3906/mat-0805-38

Abstract

In this paper, we prove the existence of solutions for nonlinear Lidstone boundary value problems by using the monotone method on time scale and also we show the existence of at least one positive solution if f is either superlinear or sublinear by the fixed point theorem in a Banach space.

Keywords

Lidstone boundary value problem, upper and lower solutions, fixed point theorem, positive solution.

First Page

359

Last Page

374

Recommended Citation

ÇETİN, ERBİL and TOPAL, S. GÜLŞAN (2009) "Solutions for 2n^{th} order lidstone BVP on time scales," Turkish Journal of Mathematics: Vol. 33: No. 4, Article 6. https://doi.org/10.3906/mat-0805-38
Available at: https://journals.tubitak.gov.tr/math/vol33/iss4/6