Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations
Copyright policy )Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations
Abstract The aim of this work is to give sufficient conditions ensuring that the space PAP(, X, µ) of µ-pseudo almost periodic functions and the space PAA(, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ∈ L 1(). These results establish sufficient assumptions on k and the measure µ. As a consequence, we investigate the existence and uniqueness of µ-pseudo almost periodic solutions and µ-pseudo almost automorphic solutions for some abstract integral equations, evolution equations and partial functional differential equations.
- SIDI Italy
- University of Ngaoundéré Cameroon
- Département de Mathématiques France
- University of Paris-Sud France
- Cadi Ayyad University Morocco
Almost and pseudo-almost periodic solutions to PDEs, Ergodic theorems, spectral theory, Markov operators, Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions, Partial functional-differential equations, Evolutionary biology, (\(\mu,\nu\))-pseudo almost periodic and automorphic functions, \(\mu\)-pseudo almost automorphic functions, \(\mu\)-ergodic function, Engineering, Fixed Point Theorems in Metric Spaces, Convolution (computer science), Periodic solutions of integral equations, µ-ergodic, Applied Mathematics, Automorphic form, µ-pseudo almost automorphic functions, 34c27, 35b15, Multi-valued Mappings, FOS: Philosophy, ethics and religion, measure theory, 34k14, Reaction-diffusion equations, \(\mu\)-pseudo almost periodic functions, Function (biology), Mathematical physics, Physical Sciences, Uniqueness, Artificial neural network, Almost and pseudo-almost periodic solutions to functional-differential equations, integral equations, Abstract integral equations, integral equations in abstract spaces, (\(\mu,\nu\))-ergodic, Function space, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, partial functional differential equations, 35k57, Machine learning, QA1-939, FOS: Mathematics, μ-ν -pseudo almost periodic and automorphic functions, neutral systems, Functional Differential Equations, Biology, µ-pseudo almost periodic functions, evolution families, nonautonomous equations, evolution equations, 37a30, Pure mathematics, reaction-diffusion systems, Linguistics, Automorphic L-function, Invariant (physics), Computer science, μ-ν-ergodic, Philosophy, Almost and pseudo-almost periodic solutions to ordinary differential equations, Semilinear Differential Equations, Control and Systems Engineering, Analysis and Control of Distributed Parameter Systems, FOS: Languages and literature, Geometry and Topology, Mathematics
Almost and pseudo-almost periodic solutions to PDEs, Ergodic theorems, spectral theory, Markov operators, Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions, Partial functional-differential equations, Evolutionary biology, (\(\mu,\nu\))-pseudo almost periodic and automorphic functions, \(\mu\)-pseudo almost automorphic functions, \(\mu\)-ergodic function, Engineering, Fixed Point Theorems in Metric Spaces, Convolution (computer science), Periodic solutions of integral equations, µ-ergodic, Applied Mathematics, Automorphic form, µ-pseudo almost automorphic functions, 34c27, 35b15, Multi-valued Mappings, FOS: Philosophy, ethics and religion, measure theory, 34k14, Reaction-diffusion equations, \(\mu\)-pseudo almost periodic functions, Function (biology), Mathematical physics, Physical Sciences, Uniqueness, Artificial neural network, Almost and pseudo-almost periodic solutions to functional-differential equations, integral equations, Abstract integral equations, integral equations in abstract spaces, (\(\mu,\nu\))-ergodic, Function space, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, partial functional differential equations, 35k57, Machine learning, QA1-939, FOS: Mathematics, μ-ν -pseudo almost periodic and automorphic functions, neutral systems, Functional Differential Equations, Biology, µ-pseudo almost periodic functions, evolution families, nonautonomous equations, evolution equations, 37a30, Pure mathematics, reaction-diffusion systems, Linguistics, Automorphic L-function, Invariant (physics), Computer science, μ-ν-ergodic, Philosophy, Almost and pseudo-almost periodic solutions to ordinary differential equations, Semilinear Differential Equations, Control and Systems Engineering, Analysis and Control of Distributed Parameter Systems, FOS: Languages and literature, Geometry and Topology, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!