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The Stability of Some Differential Equations

Author

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  • M. M. Pourpasha
  • Th. M. Rassias
  • R. Saadati
  • S. M. Vaezpour

Abstract

We generalize the results obtained by Jun and Min (2009) and use fixed point method to obtain the stability of the functional equation ð ‘“ ( ð ‘¥ + 𠜎 ( 𠑦 ) ) = ð ¹ [ ð ‘“ ( ð ‘¥ ) , ð ‘“ ( 𠑦 ) ] , for a class of functions of a vector space into a Banach space where 𠜎 is an involution. Then we obtain the stability of the differential equations of the form 𠑦 î…ž = ð ¹ [ ð ‘ž ( ð ‘¥ ) , 𠑃 ( ð ‘¥ ) 𠑦 ( ð ‘¥ ) ] .

Suggested Citation

  • M. M. Pourpasha & Th. M. Rassias & R. Saadati & S. M. Vaezpour, 2011. "The Stability of Some Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-15, December.
    • Handle: RePEc:hin:jnlmpe:128479
    DOI: 10.1155/2011/128479
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    Cited by:

    1. Reza Chaharpashlou & Reza Saadati & António M. Lopes, 2023. "Fuzzy Mittag–Leffler–Hyers–Ulam–Rassias Stability of Stochastic Differential Equations," Mathematics, MDPI, vol. 11(9), pages 1-11, May.

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