2021
DOI: 10.1016/j.nahs.2020.100989
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Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces

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Cited by 22 publications
(15 citation statements)
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“…A proof of the above lemma can be obtained by proceeding similarly as in the proof of Theorem 3.2, [2]. Remark 3.5.…”
Section: Proof Let Us Assumementioning
confidence: 95%
See 1 more Smart Citation
“…A proof of the above lemma can be obtained by proceeding similarly as in the proof of Theorem 3.2, [2]. Remark 3.5.…”
Section: Proof Let Us Assumementioning
confidence: 95%
“…[29,52,53,66], etc. In the past two decades, the problem of approximate controllability of various kinds of systems (in Hilbert and Banach spaces) such as impulsive differential equations, functional differential equations, stochastic systems, Sobolev type evolution systems, etc, is extensively studied with the help of fixed point approach and produced excellent results, see for instance, [2,3,16,17,29,45], etc.…”
Section: Introductionmentioning
confidence: 99%
“…[30,46,47,50], etc). In the past two decades, a good number of publications discussed the problems of existence and approximate controllability of non-linear evolution systems (in Hilbert and Banach spaces), see for instance, [2,4,15,17,18,30,38,41], etc and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…There are a few publications available on the approximate controllability of the first and second order non-autonomous semilinear systems, see for example, [2,15,16,24,31,38], etc. In [31], Mahmudov et al considered the non-autonomous second order differential inclusions and investigated the approximate controllability results in Hilbert space by applying the Bohnenblust-Karlin's fixed point theorem.…”
Section: Introductionmentioning
confidence: 99%
“…For the infinite dimensional control systems, the problem of approximate controllability is more substantial and is having broad range of applications, see for instance, [33,55,56,67], etc. In the past few decades, the problem of approximate controllability for different kinds of dynamical systems (in Hilbert and Banach spaces) such as fractional evolution equations, Sobolev type systems, delay (functional) differential equations, impulsive systems, stochastic differential equations, etc, has been widely studied by many researchers and they have produced excellent results, see for instance, [1,3,16,33,46,64] etc, and the references therein.…”
Section: Introductionmentioning
confidence: 99%