Solvability of infinite systems of second order differential equations in $c_0$ and $\ell _1$ by Meir-Keeler condensing operators
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- by M. Mursaleen and Syed M. H. Rizvi PDF
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Abstract:
In this paper, we present existence results for the solution of infinite systems of second order differential equations in Banach sequence spaces $c_0$ and $\ell _1$ using the idea of Meir-Keeler condensing operators. We also give some examples to illustrate our results in these sequence spaces.References
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Additional Information
- M. Mursaleen
- Affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
- MR Author ID: 204991
- Email: mursaleenm@gmail.com
- Syed M. H. Rizvi
- Affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
- Email: syedrizvi022@gmail.com
- Received by editor(s): August 23, 2015
- Received by editor(s) in revised form: November 26, 2015
- Published electronically: March 30, 2016
- Communicated by: Joachim Krieger
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4279-4289
- MSC (2010): Primary 47H09, 47H10; Secondary 34A34
- DOI: https://doi.org/10.1090/proc/13048
- MathSciNet review: 3531179