Weyl Almost Periodic Functions in Locally Convex Spaces

In this paper, we introduce and analyze several new classes of Weyl -almost periodic type functions , where , is an arbitrary non-empty set, and is a locally convex space over the field of complex numbers. We furnish several structural results and present some applications to the abstract Volterra i...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics Vol. 46; no. 4; pp. 1776 - 1795
Main Authors: Abbas, S., Fedorov, V. E., Kostić, M.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.04.2025
Springer Nature B.V
Subjects:
Algebra
Analysis
Banach spaces
Cauchy problems
Complex numbers
Differential equations
Geometry
Integral equations
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Periodic functions
Probability Theory and Stochastic Processes
Theorems
Volterra integral equations
locally convex spaces
almost periodic type functions
42A75
47D99
Weyl
43A60
abstract Volterra integro-differential equations
ISSN:1995-0802, 1818-9962
Online Access:Get full text
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Summary:In this paper, we introduce and analyze several new classes of Weyl -almost periodic type functions , where , is an arbitrary non-empty set, and is a locally convex space over the field of complex numbers. We furnish several structural results and present some applications to the abstract Volterra integro-differential equations in locally convex spaces.
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content type line 14
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080225606216