| 二阶Volterra—Hammerstein型积分微分方程非线性边值问题及其应用 |
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| 引用本文： | 王国灿,冯志华.二阶Volterra—Hammerstein型积分微分方程非线性边值问题及其应用[J].大连铁道学院学报,2002,23(4):3-6. |
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| 作者姓名： | 王国灿 冯志华 |
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| 作者单位： | 大连铁道学院文理分院,辽宁大连116028 |
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| 摘 要： | 研究了二阶Volterra-Hammerstein型积分微分方程的非线性边值问题：u^n=f(t,T1u,T2u,u,u'),g(u(0),u(1))=0,h(u(0),u(1),u'(0),u'(1))=0,得到了解的存在性,并将所得结果应用于三阶、四阶边值问题。
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| 关 键 词： | 非线性边值问题 上下解 存在性 二阶非线性方程 |
Second-Order Nonlinear Boundary Value Problems of Volterra-Hammerstein Integrodifferential Type Equation and Its Application |
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| WANG Guo-can,FENG Zhi-hua.Second-Order Nonlinear Boundary Value Problems of Volterra-Hammerstein Integrodifferential Type Equation and Its Application[J].Journal of Dalian Railway Institute,2002,23(4):3-6. |
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| Authors: | WANG Guo-can FENG Zhi-hua |
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| Abstract: | This paper gives the existence of solutions for nonlinear boundary value problems of the formula u"=f(t, u, u', T1u, T2u), g(u(0), u(1)) = 0, h(u(0), u(1), u'(0), u'(1)) = 0 by means of the upper and lower solution method, and applies the result to third (fourth) order boundary value problems. |
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| Keywords: | boundary value problems upper and lower solutions existence |
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