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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

abstract and applied analysis

Applications of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:math>-Drazin Inverse to the Heat Equation and a Delay Differential Equation

Applications of the g-Drazin Inverse to the Heat Equation and a Delay Differential Equation