Approximate controllability is established for semilinear impulsive neutral integro-differential equations with fading memory in reflexive Banach spaces, under a linear controllability condition and a strong uniform boundedness condition on the nonlinearity.
Lunardi, On the linear heat equation with fading memory, SIAM Journal on Mathematical analysis 21 (5) (1990) 1213–1224
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Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory
Approximate controllability is established for semilinear impulsive neutral integro-differential equations with fading memory in reflexive Banach spaces, under a linear controllability condition and a strong uniform boundedness condition on the nonlinearity.