Differential and Integral Equations

Existence and stability for some partial neutral functional differential equations

Rachid Benkhalti and Khalil Ezzinbi

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Abstract

In this work we study the existence and stability for some neutral partial functional differential equations. We suppose that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition on a Banach space $X$. The nonlinear term takes its values in a space larger than $X$, namely the extrapolated Favard class corresponding to the extrapolated semigroup corresponding to the linear part. Our approach is based on the theory of the extrapolation spaces.

Article information

Source
Differential Integral Equations Volume 17, Number 11-12 (2004), 1423-1436.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060254

Mathematical Reviews number (MathSciNet)
MR2100035

Zentralblatt MATH identifier
1150.35583

Subjects
Primary: 34K30: Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx]
Secondary: 34G20: Nonlinear equations [See also 47Hxx, 47Jxx] 34K20: Stability theory 34K40: Neutral equations

Citation

Benkhalti, Rachid; Ezzinbi, Khalil. Existence and stability for some partial neutral functional differential equations. Differential Integral Equations 17 (2004), no. 11-12, 1423--1436. https://projecteuclid.org/euclid.die/1356060254.


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