Geodesic
Oscillation and Global Attractivity in a Periodic Delay Equation
Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 275-283

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DOI

Consider the delay differential equation where 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.
DOI : 10.4153/CMB-1996-035-9
Mots-clés : 34K20, 92D25, oscillation, global attractivity, periodic solution, delay differential equation 
Graef, J. R. Oscillation and Global Attractivity in a Periodic Delay Equation. Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 275-283. doi: 10.4153/CMB-1996-035-9
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     title = {Oscillation and {Global} {Attractivity} in a {Periodic} {Delay} {Equation}},
     journal = {Canadian mathematical bulletin},
     pages = {275--283},
     year = {1996},
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     doi = {10.4153/CMB-1996-035-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-035-9/}
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