Geodesic
Meir-Keeler condensing operator to prove existence of solution for infinite systems of differential equations in the Banach space and numerical method to find the solution
Filomat, Tome 36 (2022) no. 10, p. 3217

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DOI

In this paper, we establish the existence of solution for infinite systems of differential equations in the Banach sequence space n ϕ , ℓ p (1 ≤ p ∞) and c by using Meier-Keeler condensing operators. With the help of examples we illustrate our results in the sequence spaces. Also for validity of the results, we find an approximation of solution by using a suitable method with high accuracy.
DOI : 10.2298/FIL2210217R
Classification : 34A34, 45J25, 46B45, 47H10
Keywords: Measure of noncompactness, Hausdorff measure of noncompactness, Condensing operators, Green’s function, Fixed point 
Mohsen Rabbani; Anupam Das; Bipan Hazarika; Reza Arab. Meir-Keeler condensing operator to prove existence of solution for infinite systems of differential equations in the Banach space and numerical method to find the solution. Filomat, Tome 36 (2022) no. 10, p. 3217 . doi: 10.2298/FIL2210217R
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     author = {Mohsen Rabbani and Anupam Das and Bipan Hazarika and Reza Arab},
     title = {Meir-Keeler condensing operator to prove existence of solution for infinite systems of differential equations in the {Banach} space and numerical method to find the solution},
     journal = {Filomat},
     pages = {3217 },
     year = {2022},
     volume = {36},
     number = {10},
     doi = {10.2298/FIL2210217R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210217R/}
}
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