Geodesic
Approximate controllability of second-order nonlocal impulsive partial functional integro-differential evolution systems in Banach spaces
Filomat, Tome 33 (2019) no. 18, p. 5887

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DOI

This manuscript is involved with a class of second-order impulsive partial functional integro-differential evolution equations with nonlocal conditions in Banach spaces. Sufficient conditions ensuring the existence and approximate controllability of mild solutions are established. Theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem are employed for achieving the required results. An example is analyzed to illustrate the effectiveness of the outcome
DOI : 10.2298/FIL1918887N
Classification : 93B05, 34A37, 34B10, 35R10
Keywords: Impulsive conditions, Nonlocal conditions, Integro-differential evolution systems, Semigroup theory, Cosine family, Fixed point 
Mahalingam Nagaraj; Velusamy Kavitha; Dumitru Baleanu; Mani Malika Arjunan. Approximate controllability of second-order nonlocal impulsive partial functional integro-differential evolution systems in Banach spaces. Filomat, Tome 33 (2019) no. 18, p. 5887 . doi: 10.2298/FIL1918887N
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     author = {Mahalingam Nagaraj and Velusamy Kavitha and Dumitru Baleanu and Mani Malika Arjunan},
     title = {Approximate controllability of second-order nonlocal impulsive partial functional integro-differential evolution systems in {Banach} spaces},
     journal = {Filomat},
     pages = {5887 },
     year = {2019},
     volume = {33},
     number = {18},
     doi = {10.2298/FIL1918887N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918887N/}
}
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