PERIODIC SOLUTIONS AND ASYMPTOTIC BEHAVIOR IN LIENARD SYSTEMS WITH p-LAPLACIAN OPERATORS

被引:0
|
作者
Garcia-Huidobro, M. [1 ]
Manasevich, R. [2 ,3 ]
Ward, J. R. [4 ]
机构
[1] Pontificia Univ Catolica Chile, Dept Matemat, Santiago, Chile
[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile
[3] Univ Chile, Dept Ingn Matemat, Santiago, Chile
[4] Univ Alabama, Dept Math, Birmingham, AL 35294 USA
关键词
DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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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页码:979 / 998
页数:20
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