Bounds of Solutions of Integrodifferential Equations

Zdeněk Šmarda

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Some new integral inequalities are given, and bounds of solutions of the following integro‐differential equation are determined: x′(t)-ℱ(t,x(t),∫0tk(t,s,x(t),x(s))ds)=h(t), x(0) = x0, where h : R+ → R, k:R+2×R2→R, ℱ : R+ × R2 → R are continuous functions, R+ = [0, ∞).

Date: 2011
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https://doi.org/10.1155/2011/571795

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:571795

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