## Banach Journal of Mathematical Analysis

### Weyl-almost periodic solutions and asymptotically Weyl-almost periodic solutions of abstract Volterra integro-differential equations

Marko Kostić

#### Abstract

The main purpose of this article is to investigate Weyl-almost periodic solutions and asymptotically Weyl-almost periodic solutions of abstract Volterra integro-differential equations and inclusions. The class of asymptotically Weyl-almost periodic functions that we introduce here seems not to have been considered elsewhere, even in the scalar-valued case. We analyze the Weyl-almost periodic and asymptotically Weyl-almost periodic properties of convolution products and various types of degenerate solution operator families subgenerated by multivalued linear operators.

#### Article information

Source
Banach J. Math. Anal., Volume 13, Number 1 (2019), 64-90.

Dates
Accepted: 20 May 2018
First available in Project Euclid: 25 October 2018

https://projecteuclid.org/euclid.bjma/1540454496

Digital Object Identifier
doi:10.1215/17358787-2018-0016

Mathematical Reviews number (MathSciNet)
MR3894064

Zentralblatt MATH identifier
07002032

#### Citation

Kostić, Marko. Weyl-almost periodic solutions and asymptotically Weyl-almost periodic solutions of abstract Volterra integro-differential equations. Banach J. Math. Anal. 13 (2019), no. 1, 64--90. doi:10.1215/17358787-2018-0016. https://projecteuclid.org/euclid.bjma/1540454496

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