African Diaspora Journal of Mathematics

Generalized Weighted Pseudo-Almost Periodic Solutions and Generalized Weighted Pseudo-Almost Automorphic Solutions of Abstract Volterra Integro-Differential Inclusions

Marko Kostić

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Abstract

In this paper, we analyze the existence and uniqueness of generalized weighted pseudo-almost automorphic solutions of abstract Volterra integro-differential inclusions in Banach spaces. The main results are devoted to the study of various types of weighted pseudo-almost periodic (automorphic) properties of convolution products. We illustrate our abstract results with some examples and possible applications.

Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 22, Number 1 (2019), 1-21.

Dates
First available in Project Euclid: 20 August 2019

Permanent link to this document
https://projecteuclid.org/euclid.adjm/1566266459

Mathematical Reviews number (MathSciNet)
MR3992763

Zentralblatt MATH identifier
07161358

Subjects
Primary: 44A35: Convolution 42A75: Classical almost periodic functions, mean periodic functions [See also 43A60] 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 34G25: Evolution inclusions 35R11: Fractional partial differential equations

Keywords
weighted pseudo-almost periodicity weighted pseudo-almost automorphy convolution products abstract Volterra integro-differential inclusions multivalued linear operators

Citation

Kostić, Marko. Generalized Weighted Pseudo-Almost Periodic Solutions and Generalized Weighted Pseudo-Almost Automorphic Solutions of Abstract Volterra Integro-Differential Inclusions. Afr. Diaspora J. Math. (N.S.) 22 (2019), no. 1, 1--21. https://projecteuclid.org/euclid.adjm/1566266459


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