Periodic solutions to a second order -Laplacian neutral functional differential system

✍ Scribed by Shiping Lu

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 685 KB
• Volume: 69
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2007.10.049

✦ Synopsis

By analyzing some properties of the linear difference operator A : Ax = x(t) -C x(tτ ) first, and then using an extension of Mawhin's continuation theorem, a second order p-Laplacian neutral functional differential system as follows

is studied. Some new results on the existence of periodic solutions is obtained. The result is related to the deviating arguments τ and µ. Meanwhile, the approaches to estimate a priori bounds of periodic solutions are different from the corresponding ones of the known literature.