TY - JOUR
T1 - Bounds for fourth-order [0, 1] difference equations
AU - Berenhaut, Kenneth S.
AU - Gibson, Benjamin G.
AU - Newman, Jonathan H.
AU - Anderson, Jacob F.
PY - 2007/11
Y1 - 2007/11
N2 - This note examines bounds for fourth-order linear difference equations with coefficients restricted to the unit interval. It is shown that all solutions are of order strictly less than (3 / 2)n. The bound is shown to be nearly best possible. Applications to zero-one banded matrices are also discussed.
AB - This note examines bounds for fourth-order linear difference equations with coefficients restricted to the unit interval. It is shown that all solutions are of order strictly less than (3 / 2)n. The bound is shown to be nearly best possible. Applications to zero-one banded matrices are also discussed.
KW - Explicit bounds
KW - Fourth-order difference equations
KW - Growth rates
KW - Nonconstant coefficients
KW - Restricted coefficients
UR - http://www.scopus.com/inward/record.url?scp=35348916056&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2006.10.039
DO - 10.1016/j.camwa.2006.10.039
M3 - Article
AN - SCOPUS:35348916056
SN - 0898-1221
VL - 54
SP - 1250
EP - 1259
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 9-10
ER -