Compact almost automorphic weak solutions for some monotone differential inclusions: applications to parabolic and hyperbolic equations

DOI10.1016/j.jmaa.2019.123805zbMath1437.34069OpenAlexW2995034160WikidataQ126534698 ScholiaQ126534698MaRDI QIDQ2304315

Samir Fatajou, Mohamed Ziat, Brahim Es-sebbar, Khalil Ezzinbi

Publication date: 9 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123805

zbMATH Keywords

differential inclusionexistence and uniquenessalmost periodicalmost automorphicmaximal monotone

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20) 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

μ-Pseudo compact almost automorphic weak solutions for some partial functional differential inclusions, Existence for impulsive semilinear functional differential inclusions, Mild solutions for nonlinear impulsive functional differential inclusions with nonlocal conditions, Compact almost automorphic function on time scales and its application

Cites Work

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• Almost automorphic evolution equations with compact almost automorphic solutions
• Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations
• Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
• Nonlinear evolution equations - global behavior of solutions
• Almost periodic differential equations
• Nonlinear passive evolution equations
• Comportement a l'infini pour les equations d'evolution avec forcing periodique
• Asymptotic behavior for an almost periodic, strongly dissipative wave equation
• Sur les solutions bornees et presque périodiques des équations et inéquations d'évolution
• Extensions of almost automorphic sequences
• Soluzioni quasi-periodiche, o limitate, di sistemi differenziali non lineari quasi-periodici, o limitati
• Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
• UNIFORM CONVERGENCE OF MONOTONE SEQUENCES OF FUNCTIONS
• Almost-periodic forcing for a wave equation with a nonlinear, local damping term
• Comportement à l'infini pour certains systèmes dissipatifs non linéaires
• Topics in Almost Automorphy
• CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS
• Almost Automorphic Functions on Groups
• ALMOST AUTOMORPHIC FUNCTIONS
• A NEW APPROACH TO ALMOST PERIODICITY