Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXISTENCE OF THE SOLUTION OF COUNTABLY INFINITE SYSTEM OF DIFFERENTIAL EQUATIONS IN SEQUENCE SPACES mp(𝜙) AND np(𝜙) WITH THE HELP OF MEASURE OF NON-COMPACTNESS

  • KHAN, MOHD SHOAIB (Department of Mathematics, South Asian University) ;
  • UDDIN, IZHAR (Department of Mathematics, Jamia Millia Islamia) ;
  • LOHANI, Q.M. DANISH (Department of Mathematics, South Asian University)
  • Received : 2018.12.27
  • Accepted : 2019.06.10
  • Published : 2019.09.30
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Abstract

The Banach spaces $m^p(\phi)$ and $n^p(\phi)$ are very important sequence spaces related to $l_p$, which were defined to fill the gaps between $l_p(1{\leq}p{\leq}{\infty})$. In this paper, we investigated the solubility of the infinite system of differential equations in $m^p(\phi)$ and $n^p(\phi)$ by proving related theorems. Moreover, one example has been included for the justification of the claim of this paper.

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References

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