Applications of the \(g\)-Drazin inverse to the heat equation and a delay differential equation. (English) Zbl 1470.34155

Abdeljabbar, Alrazi; Tran, Trung Dinh

Abstr. Appl. Anal. 2017, Article ID 4248304, 4 p. (2017).

Summary: We consider applications of the \(g\)-Drazin inverse to some classes of abstract Cauchy problems, namely, the heat equation with operator coefficient and delay differential equations in Banach space.

MSC:

34G10	Linear differential equations in abstract spaces
34K30	Functional-differential equations in abstract spaces
35K15	Initial value problems for second-order parabolic equations
35K90	Abstract parabolic equations

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