Well-posed solvability of integro-differential equations in spaces of vector functions holomorphic in a sector

DOI10.1134/S0012266122020082zbMath1489.45013OpenAlexW4225276690WikidataQ115248883 ScholiaQ115248883MaRDI QIDQ2135106

V. V. Vlasov, N. A. Rautian

Publication date: 4 May 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266122020082

zbMATH Keywords

integro-differential equationslinear spacesvector functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

• On Volterra integro-differential equations with kernels representable by Stieltjes integrals
• Analysis of operator models arising in problems of hereditary mechanics
• THEOREMS OF PALEY-WIENER AND MÜNTZ-SZÁSZ TYPE
• One-Parameter Semigroups for Linear Evolution Equations
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