Open AccessUnbounded solutions of second order discrete BVPs on infinite intervals
Author(s) -
Hairong Lian,
LI Jingwu,
Ravi P. Agarwal
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.02.02
Subject(s) - mathematics , order (exchange) , mathematical analysis , pure mathematics , calculus (dental) , business , finance , medicine , dentistry
In this paper, we study Sturm-Liouville boundary value problems for second order difference equations on a half line. By using the discrete upper and lower solutions, the Schäuder fixed point theorem, and the degree theory, the existence of one and three solutions are investigated. An interesting feature of our existence theory is that the solutions may be unbounded. c ©2016 All rights reserved.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom