The Stability of Some Differential Equations

M. M. Pourpasha, Th. M. Rassias, R. Saadati and S. M. Vaezpour

Mathematical Problems in Engineering, 2011, vol. 2011, 1-15

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 ‘¥ ) ] .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:128479

DOI: 10.1155/2011/128479

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