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- W1598443385 abstract "The differential equation $d(Mu(t))/dt=-Lu(t)+L_1u(t-1), $ $tgeq0, $ $u(t)=varphi(t),$ $ -1leq tleq0$, for a given strongly continuous $X$-valued function $varphi$ on $[-1,0]$ is studied, where $M, L, L_1$ are closed linear operators from the complex Banach space $X$ into itself, and $L$ is invertible. Though already in the finite dimensional case in general existence of continuous solutions on $[-1,infty)$ may fail or it is possible to have continuous solutions only on a finite interval, we indicate classes of operators for which existence results analogous to the ones for regular equations $M=I$ hold. In particular, solutions are given explicitly by a recovery formula." @default.
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- W1598443385 date "1999-01-01" @default.
- W1598443385 modified "2023-10-18" @default.
- W1598443385 title "Singular differential equations with delay" @default.
- W1598443385 doi "https://doi.org/10.57262/die/1367265216" @default.
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