Geodesic
Existence of solution of infinite systems of singular integral equations of two variables in C(I × I, ℓp) with I = [0,t],t > 0 and 1 p ∞ using Hausdorff measure of noncompactness
Filomat, Tome 36 (2022) no. 9, p. 3013

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DOI

In this article, we discuss the solvability of infinite systems of singular integral equations of two variables in the Banach sequence spaces C(I × I, ℓp) with I = [0,T],T > 0 and 1 p ∞ with the help of Meir-Keeler condensing operators and Hausdorff measure of noncompactness. With an example, we illustrate our findings.
DOI : 10.2298/FIL2209013D
Classification : 34A34, 46B45, 47H10
Keywords: Measure of noncompactness, Infinite system of singular integral equation, Meir-Keeler condensing operators, Fixed point 
Anupam Das; Bipan Hazarika; K Sadarangani. Existence of solution of infinite systems of singular integral equations of two variables in C(I × I, ℓp) with I = [0,t],t > 0 and 1 < p < ∞ using Hausdorff measure of noncompactness. Filomat, Tome 36 (2022) no. 9, p. 3013 . doi: 10.2298/FIL2209013D
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     author = {Anupam Das and Bipan Hazarika and K Sadarangani},
     title = {Existence of solution of infinite systems of singular integral equations of two variables in {C(I} {\texttimes} {I,} \ensuremath{\ell}p) with {I} = [0,t],t > 0 and 1 < p < \ensuremath{\infty} using {Hausdorff} measure of noncompactness},
     journal = {Filomat},
     pages = {3013 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209013D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209013D/}
}
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