On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument
Applications of Mathematics (2010)
- Volume: 55, Issue: 3, page 189-196
- ISSN: 0862-7940
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topZhou, Yinggao, and Wu, Min. "On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument." Applications of Mathematics 55.3 (2010): 189-196. <http://eudml.org/doc/37843>.
@article{Zhou2010,
abstract = {The existence of positive periodic solutions for a kind of Rayleigh equation with a deviating argument \[ x^\{\prime \prime \}(t)+ f(x^\{\prime \}(t))+ g(t,x(t-\tau (t)))= p(t) \]
is studied. Using the coincidence degree theory, some sufficient conditions on the existence of positive periodic solutions are obtained.},
author = {Zhou, Yinggao, Wu, Min},
journal = {Applications of Mathematics},
keywords = {Rayleigh equations; positive periodic solution; a priori estimate; Rayleigh equations; positive periodic solution; a priori estimate},
language = {eng},
number = {3},
pages = {189-196},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument},
url = {http://eudml.org/doc/37843},
volume = {55},
year = {2010},
}
TY - JOUR
AU - Zhou, Yinggao
AU - Wu, Min
TI - On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument
JO - Applications of Mathematics
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 3
SP - 189
EP - 196
AB - The existence of positive periodic solutions for a kind of Rayleigh equation with a deviating argument \[ x^{\prime \prime }(t)+ f(x^{\prime }(t))+ g(t,x(t-\tau (t)))= p(t) \]
is studied. Using the coincidence degree theory, some sufficient conditions on the existence of positive periodic solutions are obtained.
LA - eng
KW - Rayleigh equations; positive periodic solution; a priori estimate; Rayleigh equations; positive periodic solution; a priori estimate
UR - http://eudml.org/doc/37843
ER -
References
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