Almost automorphic functions on the quantum time scale and applications

DOI10.1155/2017/1526478zbMath1397.34039arXiv1706.00694OpenAlexW3102832898MaRDI QIDQ1784851

G. Richomme

Publication date: 27 September 2018

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00694

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Difference equations, scaling ((q)-differences) (39A13) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dynamic equations on time scales or measure chains (34N05)

Cites Work

• Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales
• Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales
• Floquet theory based on new periodicity concept for hybrid systems involving \(q\)-difference equations
• Periodic averaging principle in quantum calculus
• Almost automorphic solutions of non-autonomous difference equations
• Almost automorphic functions of order \(n\) and applications to dynamic equations on time scales
• Almost automorphic solutions of Volterra equations on time scales.
• Almost automorphic solutions of dynamic equations on time scales
• Floquet theory for q-difference equations
• Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
• Almost automorphic solutions of delayed neutral dynamic systems on hybrid domains
• CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS
• Quantum calculus
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