ON THE SPECTRAL RADIUS OF LINEARLY BOUNDED OPERATORS AND EXISTENCE RESULTS FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS

被引：0

作者：

Bugajewski, Dariusz ^{[1
]}

Zima, Miroslawa ^{[2
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland

[2] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年

关键词：

differential equations with maxima; existence of global solutions; functional partial differential equation; linearly bounded operator; spectral radius; system of differential equations of neutral type;

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 paper we formulate conditions, different from the global commutativity, under which one can estimate the spectral radius of the composition of linearly bounded operators. We apply this estimation to prove the existence of global solutions for some functional differential equations and systems of such equations. All our results are illustrated by suitable examples.

引用

页码：147 / 155

页数：9

共 12 条

[1] The existence and the uniqueness of solutions to nonlinear functional-differential and integral equations
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[10] Existence and Uniqueness of a Positive Solution to a Boundary Value Problem for a Second Order Functional-Differential Equation
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