| 非线性Fredholm积分方程与分岔 |
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| 引用本文： | 陈函.非线性Fredholm积分方程与分岔[J].蒙自师范高等专科学校学报,1989(1). |
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| 作者姓名： | 陈函 |
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| 作者单位： | 云南蒙自师专物理系 |
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| 摘 要： | 本文研究了非线性Frcdholm积分方程的解数随参数k变化而发生分岔的规律:Ⅰ)当k〈0时,方程至少有一个负解;当0〈k〈k_1时,方程至少有一个正解。Ⅱ)当k〉k_n时,方程至少有(2n—1)个正解。并将这些结果应用到非线性Sturm—Iiouville问题。
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| 关 键 词： | 非线性Fredholm积分方程 分岔 |
NONLINEAR FREDHOLM INTEGRAL EQUATION AND BIFURCATION |
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| Cheng Han.NONLINEAR FREDHOLM INTEGRAL EQUATION AND BIFURCATION[J].Journal of Mengzi Teachers' College,1989(1). |
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| Authors: | Cheng Han |
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| Abstract: | In this article, the bifurcation law of solutional number of nonlinear Fredholm integral equation as parameter k changes has been dealt with. with the main results. I ) .The equation have at least a negative solution while k< 0 and at least a positive solution while 0k . These results are applied to the solving of nonlinear Sturm-Liouville problem. |
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| Keywords: | Nonlinear Fredholm Integral Equation Bifurcation |
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