RT Journal Article
T1 Stability of periodic solutions of first-order difference equations lying between lower and upper solutions
A1 Cabada Fernández, Alberto
A1 Otero Espinar, María Victoria
A1 Rodríguez Vivero, Dolores
AB We prove that if there exists α ≤ β, a pair of lower and upper solutions of the first-order iscrete periodic problem Δu(n) = f(n,u(n)); n ∈ IN ≡ {0, . . . ,N −1}, u(0) = u(N), with f a continuous N-periodic function in its first variable and such that x + f (n,x) is strictly increasing in x, for every n ∈ IN, then, this problem has at least one solution such that its N-periodic extension to N is stable. In several particular situations, we may claim that this solution is asymptotically stable.
PB SpringerOpen
SN 1687-1839
YR 2005
FD 2005
LK http://hdl.handle.net/10347/20651
UL http://hdl.handle.net/10347/20651
LA eng
NO Cabada, A., Otero-Espinar, V. & Rodríguez-Vivero, D. Stability of periodic solutions of first-order difference equations lying between lower and upper solutions. Adv Differ Equ 2005, 865865 (2005)
NO The authors thank the referees of the paper for valuable suggestions. First and secondauthors’ research is partially supported by DGI and FEDER Project BFM2001-3884-C02-01, and by Xunta de Galicia and FEDER Project PGIDIT020XIC20703PN, Spain
DS Minerva
RD 23 abr 2026