By using Leggett-Williams’ fixed point theorem and Hölder’s inequality, the existence of three positive solutions for the fourth-order impulsive differential equations with integral boundary conditions x(4)(t)=ω(t)f(t,x(t))\documentclass[12pt]{minimal}
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\begin{document}$x^{(4)}(t)=\omega(t)f(t,x(t))$\end{document}, 0<t<1\documentclass[12pt]{minimal}
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\begin{document}$0< t<1$\end{document}, t≠tk\documentclass[12pt]{minimal}
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\begin{document}$t\neq t_{k}$\end{document}, Δx|t=tk=Ik(tk,x(tk))\documentclass[12pt]{minimal}
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\begin{document}$\Delta x|_{t=t_{k}}=I_{k}(t_{k},x(t_{k}))$\end{document}, Δx′|t=tk=0\documentclass[12pt]{minimal}
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\begin{document}$\Delta x^{\prime}|_{t=t_{k}}=0$\end{document}, k=1,2,…,m\documentclass[12pt]{minimal}
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\begin{document}$k=1,2,\ldots,m$\end{document}, x(0)=∫01g(s)x(s)ds\documentclass[12pt]{minimal}
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\begin{document}$x(0)=\int_{0}^{1}g(s)x(s)\,ds$\end{document}, x′(1)=0\documentclass[12pt]{minimal}
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\begin{document}$x'(1)=0$\end{document}, x″(0)=∫01h(s)x″(s)ds\documentclass[12pt]{minimal}
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\begin{document}$x^{\prime\prime}(0)=\int_{0}^{1}h(s)x^{\prime\prime}(s)\,ds$\end{document}, x‴(1)=0\documentclass[12pt]{minimal}
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\begin{document}$x^{\prime\prime\prime}(1)=0 $\end{document} is considered, where ω(t)\documentclass[12pt]{minimal}
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\begin{document}$\omega(t)$\end{document} is Lp\documentclass[12pt]{minimal}
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\begin{document}$L^{p}$\end{document}-integrable. Our results cover a fourth-order boundary value problem without impulsive effects and are compared with some recent results.
