We first prove the existence of periodic solutions to systems of the form (phi(p),(u'))' + d/dt(del F(u)) + del G(u) = e(t). We then study the asymptotic behavior of all solutions to such systems, and give sufficient conditions for uniform ultimate boundedness of solutions.
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China Univ Min & Technol, Dept Math, Xuzhou 221008, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221008, Jiangsu, Peoples R China
Liu, Wenbin
Feng, Zhaosheng
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Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USAChina Univ Min & Technol, Dept Math, Xuzhou 221008, Jiangsu, Peoples R China
机构:
China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
Liu, Wenbin
Liu, Jiaying
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China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
Liu, Jiaying
Zhang, Huixing
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China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
Zhang, Huixing
Hu, Zhigang
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China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
Hu, Zhigang
Wu, Yanqiang
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China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China