Forced oscillation of third order nonlinear dynamic equations on time scales
Annales Polonici Mathematici (2010)
- Volume: 99, Issue: 1, page 79-87
- ISSN: 0066-2216
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topBaoguo Jia. "Forced oscillation of third order nonlinear dynamic equations on time scales." Annales Polonici Mathematici 99.1 (2010): 79-87. <http://eudml.org/doc/280285>.
@article{BaoguoJia2010,
abstract = {Consider the third order nonlinear dynamic equation
$x^\{ΔΔΔ\}(t) + p(t)f(x) = g(t)$, (*)
on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation
$Δ³x(n) + n^\{α\} |x|^γ sgn(n) = (-1)ⁿn^c$,
where α ≥ -1, γ > 0, c > 3, is oscillatory.},
author = {Baoguo Jia},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {1},
pages = {79-87},
title = {Forced oscillation of third order nonlinear dynamic equations on time scales},
url = {http://eudml.org/doc/280285},
volume = {99},
year = {2010},
}
TY - JOUR
AU - Baoguo Jia
TI - Forced oscillation of third order nonlinear dynamic equations on time scales
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 1
SP - 79
EP - 87
AB - Consider the third order nonlinear dynamic equation
$x^{ΔΔΔ}(t) + p(t)f(x) = g(t)$, (*)
on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation
$Δ³x(n) + n^{α} |x|^γ sgn(n) = (-1)ⁿn^c$,
where α ≥ -1, γ > 0, c > 3, is oscillatory.
LA - eng
UR - http://eudml.org/doc/280285
ER -
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