PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：6

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：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 02期

关键词：

Hille-Yosida condition; partial neutral functional equations; multivalued maps; condensing maps; periodic solutions; HOPF-BIFURCATION;

D O I：

10.1142/S0218127410025600

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the existence of periodic solutions for some nonlinear partial functional differential equation of neutral type. We assume that the linear part is nondensely defined and satisfies the Hille-Yosida condition. The delayed part is assumed to be omega-periodic with respect to the first argument. Using a fixed point theorem for multivalued mapping, some sufficient conditions are given to prove the existence of periodic solutions.

引用

页码：545 / 555

页数：11

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