Linear autonomous neutral differential equations in a Banach space
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Publication:1255625
DOI10.1016/0022-0396(77)90204-2zbMath0402.34066OpenAlexW2055233989MaRDI QIDQ1255625
Publication date: 1977
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(77)90204-2
Functional-differential equations in abstract spaces (34K30) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear autonomous neutral functional differential equations
- Existence and Stability for Partial Functional Differential Equations
- A class of functional equations of neutral type
- Asymptotic behavior of solutions of differential-difference equations.
- What is the Laplace Transform?
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