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

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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### References:

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