On a Boundary-Value Problem of Antiperiodic Type for First-Order Nonlinear Functional Differential Equations of Non-Volterra Type期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On a Boundary-Value Problem of Antiperiodic Type for First-Order Nonlinear Functional Differential Equations of Non-Volterra Type

Authors:

Hakl R Lomtatidze A Šremr J

Institution:

(1) Mathematical Institute, Czech Academy of Sciences, Brno, Czech Republic;(2) Masaryk University, Brno, Czech Republic

Abstract:

We establish unimprovable (in a certain sense) sufficient conditions for the solvability and unique solvability of the boundary-value problem

$u'\left( t \right) = F\left( u \right)\left( t \right),u\left( a \right) + \lambda u\left( b \right) = h\left( u \right),$

where $F:C\left( {\left {a,b} \right];R} \right) \to L\left( {\left {a,b} \right];R} \right)$ is a continuous operator satisfying the Carathéodory conditions, h: C(a, b]; R) rarr

R is a continuous functional, and lambda

R ₊.

Keywords:

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏