Cosine and sine families on time scales and abstract second order dynamic equations on time scales

DOI10.1002/MMA.8729OpenAlexW4296466711MaRDI QIDQ6182956

Rodrigo Ponce, Aldo Pereira, Jaqueline Godoy Mesquita

Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8729

zbMATH Keywords

cosine functionsine functionabstract Cauchy problemdynamic equations on time scales

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Dynamic equations on time scales or measure chains (34N05)

Cites Work

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• On operator-valued cosine sequences on UMD spaces
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• Discrete Fractional Calculus
• Cosine families and abstract nonlinear second order differential equations
• An Abstract Second Order Semilinear Volterra Integrodifferential Equation
• Massera’s theorem in quantum calculus

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