Oscillation criteria for first order forced dynamic equations
2009 ◽
Vol 3
(2)
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pp. 253-263
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Keyword(s):
We obtain some new oscillation criteria for solutions to certain first order forced dynamic equations on a time scale T of the form x?(t) + r(t)??(x? (t)) + p(t)?? (x? (t)) + q(t)??(x?(t)) = f(t); with ??(u) :=?u?n-1, ?>0. > 0. Here r(t); p (t) ; q(t) and f (t) are rdcontinuous functions on T and the forcing term f(t) is not required to be the derivative of an oscillatory function. Our results in the special cases when T = R and T = N involve and improve some previous oscillation results for first-order differential and difference equations. An example illustrating the importance of our results is also included.
Keyword(s):
2007 ◽
Vol 2007
◽
pp. 1-11
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2021 ◽
Vol 11
(2)
◽
pp. 160
Keyword(s):
2004 ◽
Vol 47
(12)
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pp. 1875-1884
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Keyword(s):
Keyword(s):