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Volume 27, Issue 3
K-Controllability and Approximate K-Controllability of Nonlinear Neutral Systems in Banach Spaces

Yue Lü, Hua Cai & Mingji Liu

Commun. Math. Res., 27 (2011), pp. 207-214.

Published online: 2021-05

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  • Abstract

In this paper, K-controllability and approximate K-controllability of non-linear neutral differential equations in Banach spaces are studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using Leray-Schauder theory.

  • Keywords

K-controllability, approximate K-controllability, $m$-accretive operator, Mild solution, preassigned response.

  • AMS Subject Headings

65M02, 65N15, 65R43

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-207, author = {Lü , YueCai , Hua and Liu , Mingji}, title = {K-Controllability and Approximate K-Controllability of Nonlinear Neutral Systems in Banach Spaces}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {3}, pages = {207--214}, abstract = {

In this paper, K-controllability and approximate K-controllability of non-linear neutral differential equations in Banach spaces are studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using Leray-Schauder theory.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19083.html} }
TY - JOUR T1 - K-Controllability and Approximate K-Controllability of Nonlinear Neutral Systems in Banach Spaces AU - Lü , Yue AU - Cai , Hua AU - Liu , Mingji JO - Communications in Mathematical Research VL - 3 SP - 207 EP - 214 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19083.html KW - K-controllability, approximate K-controllability, $m$-accretive operator, Mild solution, preassigned response. AB -

In this paper, K-controllability and approximate K-controllability of non-linear neutral differential equations in Banach spaces are studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using Leray-Schauder theory.

Lü , YueCai , Hua and Liu , Mingji. (2021). K-Controllability and Approximate K-Controllability of Nonlinear Neutral Systems in Banach Spaces. Communications in Mathematical Research . 27 (3). 207-214. doi:
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