Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations

DOI10.4067/S0719-06462021000100063zbMath1460.34050MaRDI QIDQ4988906

Fritz Mbounja Béssémè, David Bekollé, Khalil Ezzinbi, Duplex E. Houpa Danga, Samir Fatajou

Publication date: 20 May 2021

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

neutral systemsmeasure theoryevolution familiesnonautonomous equations(\(\mu,\nu\))-ergodic(\(\mu,\nu\))-pseudo almost periodic and automorphic functions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Almost and pseudo-almost periodic solutions to PDEs (35B15) Ergodic theorems, spectral theory, Markov operators (37A30) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items

Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces

Cites Work

• Measure theory and pseudo almost automorphic functions: new developments and applications
• Doubly-weighted pseudo almost periodic functions
• Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
• Pseudo-almost periodic solutions for some classes of nonautonomous partial evolution equations
• Weighted pseudo almost periodic functions, convolutions and abstract integral equations
• A unified approach to abstract linear nonautonomous parabolic equations
• Convolutions in \(\mu\)-pseudo almost periodic and \(\mu\)-pseudo almost automorphic function spaces and applications to solve integral equations
• Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
• Initial Boundary Value Problems and Optimal Control for Nonautonomous Parabolic Systems
• Topics in Almost Automorphy
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item