Differential and Integral Equations

Almost automorphic solutions of Volterra equations on time scales

Carlos Lizama, Jaqueline G. Mesquitan, Rodrigo Ponce, and Eduard Toon

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Abstract

The existence and uniqueness of almost automorphic solutions for linear and semilinear nonconvolution Volterra equations on time scales is studied. The existence of asymptotically almost automorphic solutions is proved. Examples that illustrate our results are given.

Article information

Source
Differential Integral Equations, Volume 30, Number 9/10 (2017), 667-694.

Dates
First available in Project Euclid: 27 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1495850423

Mathematical Reviews number (MathSciNet)
MR3656483

Zentralblatt MATH identifier
06770138

Subjects
Primary: 34N05: Dynamic equations on time scales or measure chains {For real analysis on time scales or measure chains, see 26E70} 45D05: Volterra integral equations [See also 34A12] 43A60: Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions

Citation

Lizama, Carlos; Mesquitan, Jaqueline G.; Ponce, Rodrigo; Toon, Eduard. Almost automorphic solutions of Volterra equations on time scales. Differential Integral Equations 30 (2017), no. 9/10, 667--694. https://projecteuclid.org/euclid.die/1495850423


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