In this paper, we study second-order nonlinear discrete Robin boundary value problem with parameter dependence. Applying invariant sets of descending flow and variational methods, we establish some new sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions of the system when the parameter belongs to appropriate intervals. In addition, an example is given to illustrate our results.
@article{bwmeta1.element.doi-10_1515_math-2017-0129,
author = {Yuhua Long and Baoling Zeng},
title = {Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1549-1557},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0129}
}
Yuhua Long; Baoling Zeng. Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence. Open Mathematics, Tome 15 (2017) pp. 1549-1557. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0129/