Bounds of Solutions of Integrodifferential Equations

Zdeněk Šmarda

Abstract and Applied Analysis, 2011, vol. 2011, 1-7

Abstract:

Some new integral inequalities are given, and bounds of solutions of the following integro-differential equation are determined: ∫ ð ‘¥ ′ ( ð ‘¡ ) − ℱ ( ð ‘¡ , ð ‘¥ ( ð ‘¡ ) , ð ‘¡ 0 𠑘 ( ð ‘¡ , ð ‘ , ð ‘¥ ( ð ‘¡ ) , ð ‘¥ ( ð ‘ ) ) ð ‘‘ ð ‘ ) = â„Ž ( ð ‘¡ ) , ð ‘¥ ( 0 ) = ð ‘¥ 0 , where â„Ž ∶ ð ‘… + → ð ‘… , 𠑘 ∶ ð ‘… 2 + × ð ‘… 2 → ð ‘… , ℱ ∶ ð ‘… + × ð ‘… 2 → ð ‘… are continuous functions, ð ‘… + = [ 0 , ∞ ) .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:571795

DOI: 10.1155/2011/571795

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