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Applications to Infinite Systems of Differential Equations

In: Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

Author

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  • Józef Banaś

    (Rzeszów University of Technology, Department of Mathematics)

  • Mohammad Mursaleen

    (Aligarh Muslim University, Department of Mathematics)

Abstract

In this chapter we apply the machinery developed previously to the theory of ordinary differential equations in Banach spaces. In particular, we show that several infinite systems of differential equations in some Banach sequence spaces can be treated from the view point of the theory of differential equations in Banach spaces. Moreover, using some specific features of sequence spaces we are able to formulate several results concerning the solvability of infinite systems of differential equations in numerous sequence spaces and to characterize solutions of those systems. We illustrate results presented in this chapter by many concrete examples.

Suggested Citation

  • Józef Banaś & Mohammad Mursaleen, 2014. "Applications to Infinite Systems of Differential Equations," Springer Books, in: Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations, edition 127, chapter 0, pages 219-262, Springer.
    • Handle: RePEc:spr:sprchp:978-81-322-1886-9_7
    DOI: 10.1007/978-81-322-1886-9_7
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