Approximate controllability of a non-autonomous evolution equation in Banach spaces

DOI10.3934/naco.2020038zbMath1476.34144arXiv2004.10460OpenAlexW3087083146MaRDI QIDQ2061371

Manil T. Mohan, K. Ravikumar, Annamalai Anguraj

Publication date: 13 December 2021

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10460

zbMATH Keywords

Schauder's fixed point theoremapproximate controllabilityresolvent operatorsnon-autonomous evolution equations

Mathematics Subject Classification ID

Controllability (93B05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear functional-differential equations (34K06) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (6)

Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces ⋮ Second order discrete time-varying and time-invariant linear continuous systems and Kalman type conditions ⋮ On a generalized stochastic Burgers' equation perturbed by Volterra noise ⋮ Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces ⋮ Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces ⋮ Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces

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