Approximate controllability for some integrodifferential evolution equations with nonlocal conditions

The main objective of this work is to investigate the existence of mild solutions and approximate controllability for some integrodifferential evolution equations with nonlocal conditions. Assuming that the linear part is exactly null and approximately controllable, using resolvent operator theory,...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2024-03, Vol.47 (4), p.2030-2055
Main Authors: Elghandouri, Mohammed, Ezzinbi, Khalil
Format: Article
Language:English
Subjects:
approximate controllability
Controllability
Evolution
evolution equations
fixed point
integrodifferential equations
Mathematical analysis
Mathematics
nonlocal conditions
null controllability
resolvent operators
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Summary:The main objective of this work is to investigate the existence of mild solutions and approximate controllability for some integrodifferential evolution equations with nonlocal conditions. Assuming that the linear part is exactly null and approximately controllable, using resolvent operator theory, we provide our main results. An example is given to illustrate the basic results of this work.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9732