PERIODIC SOLUTIONS FOR SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引:0
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作者
Benkhalti, Rachid [1 ]
Elazzouzi, Abdelhai [2 ]
Ezzinbi, Khalil [2 ]
机构
[1] Pacific Lutheran Univ, Dept Math, Tacoma, WA 98447 USA
[2] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco
关键词
Integral solutions; Hille-Yosida condition; boundedness; ultimate boundedness; condensing map; Hale and Lunel's fixed point theorem;
D O I
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we study the existence of periodic solutions for partial neutral functional differential equation. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition. In the nonhomogeneous linear case, we prove that the existence of a bounded solution on R+ implies the existence of a periodic solution. In nonlinear case, we use the concept of boundedness and ultimate boundedness to prove the existence of periodic solutions.
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页数:14
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