Positive almost periodic solutions of some convolution equations

DOI10.1007/s11117-010-0081-9zbMath1220.39023OpenAlexW2012496046MaRDI QIDQ618829

Silvia-Otilia Corduneanu

Publication date: 17 January 2011

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0081-9

zbMATH Keywords

positive solutionfunctional equationsalmost periodic functionalmost periodic solutionconvolution equationalmost periodic measureHausdorff \(\sigma\)-compact, locally compact abelian group

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Functional equations for functions with more general domains and/or ranges (39B52) Convolution, factorization for one variable harmonic analysis (42A85) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Cites Work

• Existence of positive almost periodic or ergodic solutions for some neutral nonlinear integral equations.
• Existence of positive pseudo almost periodic solution for a class of functional equations arising in epidemic problems
• Fourier analysis of unbounded measures on locally compact abelian groups
• Existence of positive almost periodic solutions of functional equations via hilbert's protective metric
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• Almost periodic measures
• Abstract Ergodic Theorems and Weak Almost Periodic Functions
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