Differential and Integral Equations

Asymptotically almost periodic solutions to some classes of second-order functional differential equations

Toka Diagana, Hernán Henriquez, and Eduardo Hernández

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Abstract

In this paper, we study the existence of asymptotically almost periodic solutions to some classes of second-order partial functional-differential equations with unbounded delay. Our results are, subsequently, applied to studying the existence of asymptotically almost periodic solutions to some integrodifferential equations, which arise in the theory of heat conduction within fading memory materials.

Article information

Source
Differential Integral Equations, Volume 21, Number 5-6 (2008), 575-600.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356038633

Mathematical Reviews number (MathSciNet)
MR2483269

Zentralblatt MATH identifier
1224.35411

Subjects
Primary: 35B15: Almost and pseudo-almost periodic solutions
Secondary: 34K30: Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx] 35R10: Partial functional-differential equations 43A60: Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions 47D09: Operator sine and cosine functions and higher-order Cauchy problems [See also 34G10]

Citation

Diagana, Toka; Henriquez, Hernán; Hernández, Eduardo. Asymptotically almost periodic solutions to some classes of second-order functional differential equations. Differential Integral Equations 21 (2008), no. 5-6, 575--600. https://projecteuclid.org/euclid.die/1356038633


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