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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 863483, 20 pages
Infinite System of Differential Equations in Some Spaces
1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Received 26 July 2012; Accepted 1 October 2012
Academic Editor: Beata Rzepka
Copyright © 2012 M. Mursaleen and Abdullah Alotaibi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [6 citations]
The following is the list of published articles that have cited the current article.
- S.A. Mohiuddine, M. Mursaleen, and A. Alotaibi, “The Hausdorff measure of noncompactness for some matrix operators,” Nonlinear Analysis: Theory, Methods & Applications, vol. 92, pp. 119–129, 2013.
- Józef Banaś, and Kishin Sadarangani, “Compactness Conditions in the Study of Functional, Differential, and Integral Equations,” Abstract and Applied Analysis, vol. 2013, pp. 1–14, 2013.
- Reza Arab, Reza Allahyari, and Ali Shole Haghighi, “Existence of solutions of infinite systems of integral equations in two variables via measure of noncompactness,” Applied Mathematics and Computation, vol. 246, pp. 283–291, 2014.
- A. Aghajani, M. Mursaleen, and A. Shole Haghighi, “Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness,” Acta Mathematica Scientia, vol. 35, no. 3, pp. 552–566, 2015.
- Reza Arab, “The Existence of Fixed Points via the Measure of Noncompactness and its Application to Functional-Integral Equations,” Mediterranean Journal of Mathematics, 2015.
- Reza Arab, “Some Fixed Point Theorems In Generalized Darbo Fixed Point Theorem And The Existence Of Solutions For System Of Integral Equations,” Journal Of The Korean Mathematical Society, vol. 52, no. 1, pp. 125–139, 2015.