| 某一类四阶非线性微分方程的Robin边值问题 |
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| 引用本文： | 金丽.某一类四阶非线性微分方程的Robin边值问题[J].高师理科学刊,1999,19(4):7-10. |
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| 作者姓名： | 金丽 |
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| 作者单位： | 大连铁道学院 |
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| 摘 要： | 利用上下解方法研究了某一类四阶非线性微分方程的Robin过值问题X（4）=f（t,x,x′,x″,x）,x（0）=A,x（1）=B,a0x″（0）－a1x″（0）=C,box″／（1）＋b1x″／（1）=D得到了其解的存在性结果．
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| 关 键 词： | 四阶方程 Robin边值 上下解 存在性 |
Existence for Robin Boundary Value Problem of Nonlinear Fourth Order Differential Equation |
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| Jin Li.Existence for Robin Boundary Value Problem of Nonlinear Fourth Order Differential Equation[J].Journal of Science of Teachers＇College and University,1999,19(4):7-10. |
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| Authors: | Jin Li |
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| Institution: | Dalian Railway Institute |
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| Abstract: | Robin boundary value of nonlinear fourth order differential equation:x(4) =f(t, x,x', x", x ), x(0) =A,x(1) = B, a0x"(0) -a1x (0) =Cf0x"(1) ＋b1x" (1) = D is studied. and ekistence result of solution is obtained by upper andlower solution. |
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| Keywords: | Fourth order differential equation Robin boundary value Upper and lower solution Existence |
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