A generalized Gronwall-Bellman-Ou-Iang type inequality for discontinuous functions and applications to BVP |
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| Authors: | Wu-Sheng Wang |
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| Affiliation: | a Department of Mathematics, Hechi University, Yizhou, Guangxi 546300, PR China
b Department of Mathematics, Guangdong Ocean University, Zhanjiang 524088, PR China |
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| Abstract: | In this paper we investigate a generalized Gronwall-Bellman-Ou-Iang type inequality for piecewise continuous functions. By studying the unknown function in different continuous regions Ωkj of Ω, we give the complete estimate for the unknown function. We apply our result to a boundary value problem of a partial impulsive differential equation for estimation of its solution. |
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| Keywords: | Gronwall-Bellman-Ou-Iang type inequality Discontinuous functions Impulsive differential equations Boundary value problem |
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