Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay

V. Vijayakumar; Sumati Kumari Panda; Kottakkaran Sooppy Nisar; Haci Mehmet Baskonus

doi:10.1002/num.22573

Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay

V. Vijayakumar
, Sumati Kumari Panda
, Kottakkaran Sooppy Nisar
, Haci Mehmet Baskonus

Mathematics

Research output: Contribution to journal › Article › peer-review

70 Scopus citations

Abstract

In this article, we determine a set of appropriate conditions for approximate controllability of second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay. We verify the main results by applying ideas about the cosine function, sine functions, and fixed point approach. Next, we continue the discussion to the nonlocal second-order Sobolev-type differential system. In the end, we provide a theoretical application to assist in the effectiveness of our discussion.

Original language	English
Pages (from-to)	1200-1221
Number of pages	22
Journal	Numerical Methods for Partial Differential Equations
Volume	37
Issue number	2
DOIs	https://doi.org/10.1002/num.22573
State	Published - Mar 2021

Keywords

approximate controllability
impulsive differential evolution inclusions
neutral system
nonlocal conditions
second-order Sobolev-type differential system

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10.1002/num.22573

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abstract = "In this article, we determine a set of appropriate conditions for approximate controllability of second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay. We verify the main results by applying ideas about the cosine function, sine functions, and fixed point approach. Next, we continue the discussion to the nonlocal second-order Sobolev-type differential system. In the end, we provide a theoretical application to assist in the effectiveness of our discussion.",

keywords = "approximate controllability, impulsive differential evolution inclusions, neutral system, nonlocal conditions, second-order Sobolev-type differential system",

author = "V. Vijayakumar and Panda, \{Sumati Kumari\} and Nisar, \{Kottakkaran Sooppy\} and Baskonus, \{Haci Mehmet\}",

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Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay. / Vijayakumar, V.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy et al.
In: Numerical Methods for Partial Differential Equations, Vol. 37, No. 2, 03.2021, p. 1200-1221.

Research output: Contribution to journal › Article › peer-review

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AU - Vijayakumar, V.

AU - Panda, Sumati Kumari

AU - Nisar, Kottakkaran Sooppy

AU - Baskonus, Haci Mehmet

PY - 2021/3

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KW - approximate controllability

KW - impulsive differential evolution inclusions

KW - neutral system

KW - nonlocal conditions

KW - second-order Sobolev-type differential system

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ER -

Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay

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Keywords

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