Oscillation and Global Attractivity in a Periodic Delay Equation
1996 ◽
Vol 39
(3)
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pp. 275-283
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Keyword(s):
AbstractConsider the delay differential equationwhere α(t) and β(t) are positive, periodic, and continuous functions with period w > 0, and m is a nonnegative integer. We show that this equation has a positive periodic solution x*(t) with period w. We also establish a necessary and sufficient condition for every solution of the equation to oscillate about x*(t) and a sufficient condition for x*(t) to be a global attractor of all solutions of the equation.
1987 ◽
Vol 28
(3)
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pp. 362-375
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1979 ◽
Vol 31
(2)
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pp. 255-263
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1992 ◽
Vol 52
(2)
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pp. 261-284
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1990 ◽
Vol 32
(2)
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pp. 180-192
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1908 ◽
Vol 28
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pp. 249-258
1990 ◽
Vol 42
(2)
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pp. 315-341
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1973 ◽
Vol 25
(5)
◽
pp. 1078-1089
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1978 ◽
Vol 26
(1)
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pp. 31-45
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