Solvability of infinite systems of second order differential equations in 𝑐₀ and ℓ₁ by Meir-Keeler condensing operators

Mursaleen, M.; Rizvi, Syed

doi:10.1090/proc/13048

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

Proc. Amer. Math. Soc. 144 (2016), 4279-4289 Request permission

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.

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