Levitan Almost Periodic Solutions of Linear Differential Equations

zbMath1474.34278arXiv1907.02512MaRDI QIDQ5857189

David N. Cheban

Publication date: 30 March 2021

Full work available at URL: https://arxiv.org/abs/1907.02512

zbMATH Keywords

linear differential equationLevitan almost periodic solutioncommon fixed point for noncommutative affine semigroups of affine mappings

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Applications of operator theory to differential and integral equations (47N20) Ordinary differential equations of infinite order (34A35) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items

Metrical almost periodicity, metrical approximations of functions and applications

Cites Work

• On the existence of almost periodic complete trajectories for contractive almost periodic processes
• Levitan almost periodic and almost automorphic solutions of \(V\)-monotone differential equations
• One fixed-point theorem
• Geometric theory of semilinear parabolic equations
• Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations
• Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
• Über eine Verallgemeinerung der stetigen fastperiodischen Funktionen von H. Bohr
• A convexity in metric space and nonexpansive mappings. I.
• Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations
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