Solutions of abstract integro‐differential equations via Poisson transformation

DOI10.1002/MMA.6042zbMath1470.45017OpenAlexW2996931449MaRDI QIDQ5003978

Rodrigo Ponce, Carlos Lizama

Publication date: 30 July 2021

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

Full work available at URL: https://doi.org/10.1002/mma.6042

zbMATH Keywords

\(C_0\)-semigroupsVolterra integral equationsresolvent families of operatorsPoisson transformation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Time discrete abstract fractional Volterra equations via resolvent sequences ⋮ Discretization of C0$$ {C}_0 $$‐semigroups and discrete semigroups of operators in Banach spaces ⋮ Discrete subdiffusion equations with memory ⋮ Existence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equations

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