PERIODIC SOLUTIONS FOR SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0
|
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
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年
关键词：
Integral solutions; Hille-Yosida condition; boundedness; ultimate boundedness; condensing map; Hale and Lunel's fixed point theorem;
D O I：
暂无
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.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    Benkhalti, Rachid
    Elazzouzi, Abdelhai
    Ezzinbi, Khalil
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (02): : 545 - 555
  • [2] Periodic solutions in the α-norm for some neutral partial functional differential equations with finite delay
    Ezzinbi K.
    Kyelem B.A.
    Ouaro S.
    [J]. Afrika Matematika, 2013, 24 (4) : 625 - 645
  • [3] WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS TO SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    Agarwal, Ravi P.
    Diagana, Toka
    Hernandez M., Eduardo
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (03) : 397 - 415
  • [4] Behavior of bounded solutions for some almost periodic neutral partial functional differential equations
    Dads, El Hadi Ait
    Es-sebbar, Brahim
    Ezzinbi, Khalil
    Ziat, Mohamed
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (07) : 2377 - 2397
  • [5] Existence of periodic solutions for some neutral functional differential equations
    Benkhalti, R
    Ezzinbi, K
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2002, 11 (02): : 231 - 239
  • [6] WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    Ezzinbi, Khalil
    Fatajou, Samir
    N'Guerekata, Gaston M.
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
  • [7] Periodic solutions and their conditional stability for partial neutral functional differential equations
    Thieu Huy Nguyen
    Thi Loan Nguyen
    Thi Ngoc Ha Vu
    [J]. Journal of Evolution Equations, 2019, 19 : 1091 - 1110
  • [8] Periodic solutions and their conditional stability for partial neutral functional differential equations
    Thieu Huy Nguyen
    Thi Loan Nguyen
    Thi Ngoc Ha Vu
    [J]. JOURNAL OF EVOLUTION EQUATIONS, 2019, 19 (04) : 1091 - 1110
  • [9] WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    Damak, Mondher
    Ezzinbi, Khalil
    Souden, Lotfi
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [10] PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    彭世国
    朱思铭
    [J]. Acta Mathematica Scientia, 2001, (01) : 98 - 102
12345