Bounded and periodic solutions of nonlinear functional differential equations

被引：9

作者：

Slyusarchuk, V. E. ^{[1
]}

机构：

[1] Natl Univ Water Management & Nat Resources Use, Rivne, Ukraine

来源：

SBORNIK MATHEMATICS | 2012年 / 203卷 / 05期

关键词：

bounded and periodic solutions; nonlinear functional differential equations; invertibility of linear operators; LOCAL LINEAR-APPROXIMATION;

D O I：

10.1070/SM2012v203n05ABEH004241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Conditions for the existence of bounded and periodic solutions of the nonlinear functional differential equation d(m)x(t)/dt(m) + (Fx)(t) = h(t), t is an element of R, are presented, involving local linear approximations to the operator F.

引用

页码：743 / 767

页数：25