Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence

Yuhua Long, and Baoling Zeng. "Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence." Open Mathematics 15.1 (2017): 1549-1557. <http://eudml.org/doc/288593>.

@article{YuhuaLong2017,
abstract = {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.},
author = {Yuhua Long, Baoling Zeng},
journal = {Open Mathematics},
keywords = {Sign-changing solution; Difference equation; Robin boundary value problem; Invariant sets of descending flow},
language = {eng},
number = {1},
pages = {1549-1557},
title = {Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence},
url = {http://eudml.org/doc/288593},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Yuhua Long
AU - Baoling Zeng
TI - Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1549
EP - 1557
AB - 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.
LA - eng
KW - Sign-changing solution; Difference equation; Robin boundary value problem; Invariant sets of descending flow
UR - http://eudml.org/doc/288593
ER -