Approximate controllability of non-autonomous second order impulsive functional evolution equations in Banach spaces. Article Swipe
Sumit Arora
,
Soniya Singh
,
Manil T. Mohan
,
Jaydev Dabas
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.22541/au.170665491.17263890/v1
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.22541/au.170665491.17263890/v1
This article investigates the approximate controllability of second order non-autonomous functional evolution equations involving non-instantaneous impulses and nonlocal conditions. First, we discuss the approximate controllability of second order linear system in details, which lacks in the existing literature. Then, we derive sufficient conditions for approximate controllability of our system in separable reflexive Banach spaces via linear evolution operator, resolvent operator conditions, and Schauder’s fixed point theorem. Finally, we verify our results to examined the approximate controllability of the non-autonomous wave equation with non-instantaneous impulses and finite delay in the application section.
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- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.22541/au.170665491.17263890/v1
- https://www.authorea.com/doi/pdf/10.22541/au.170665491.17263890
- OA Status
- gold
- References
- 54
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4391338303
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https://openalex.org/W4391338303Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.22541/au.170665491.17263890/v1Digital Object Identifier
- Title
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Approximate controllability of non-autonomous second order impulsive functional evolution equations in Banach spaces.Work title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
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2024-01-30Full publication date if available
- Authors
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Sumit Arora, Soniya Singh, Manil T. Mohan, Jaydev DabasList of authors in order
- Landing page
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https://doi.org/10.22541/au.170665491.17263890/v1Publisher landing page
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https://www.authorea.com/doi/pdf/10.22541/au.170665491.17263890Direct link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://www.authorea.com/doi/pdf/10.22541/au.170665491.17263890Direct OA link when available
- Concepts
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Controllability, Banach space, Mathematics, Separable space, Resolvent, Fixed-point theorem, Operator (biology), Order (exchange), C0-semigroup, Mathematical analysis, Applied mathematics, Pure mathematics, Economics, Biochemistry, Finance, Transcription factor, Gene, Repressor, ChemistryTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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54Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.equations | 12 |
| abstract_inverted_index.evolution | 11, 56 |
| abstract_inverted_index.involving | 13 |
| abstract_inverted_index.operator, | 57 |
| abstract_inverted_index.reflexive | 51 |
| abstract_inverted_index.resolvent | 58 |
| abstract_inverted_index.separable | 50 |
| abstract_inverted_index.conditions | 42 |
| abstract_inverted_index.functional | 10 |
| abstract_inverted_index.sufficient | 41 |
| abstract_inverted_index.application | 89 |
| abstract_inverted_index.approximate | 4, 23, 44, 74 |
| abstract_inverted_index.conditions, | 60 |
| abstract_inverted_index.conditions. | 18 |
| abstract_inverted_index.literature. | 37 |
| abstract_inverted_index.Schauder’s | 62 |
| abstract_inverted_index.investigates | 2 |
| abstract_inverted_index.non-autonomous | 9, 78 |
| abstract_inverted_index.controllability | 5, 24, 45, 75 |
| abstract_inverted_index.non-instantaneous | 14, 82 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/10 |
| sustainable_development_goals[0].score | 0.4300000071525574 |
| sustainable_development_goals[0].display_name | Reduced inequalities |
| citation_normalized_percentile.value | 0.01071344 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |