| 一类非线性积分方程的正解存在唯一性分析 |
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| 引用本文： | 王春光.一类非线性积分方程的正解存在唯一性分析[J].怀化学院学报,2009,28(2). |
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| 作者姓名： | 王春光 |
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| 作者单位： | 朝阳师范高等专科学校数学计算机系,辽宁,朝阳,122000 |
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| 摘 要： | 算子C=A+B的正不动点具有存在唯一性,其中A是一个广义e-凹和广义e-凸的单调算子,B是一个次线性算子,且B不要求具有连续性和紧性条件.利用该结论,可解决一些非线性积分方程的求解问题.
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| 关 键 词： | 不动点 非线性积分方程 解的唯一性 |
Existence and Uniqueness of Positive Solutions for Some Nonlinear Integral Equations |
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| WANG Chun-guang.Existence and Uniqueness of Positive Solutions for Some Nonlinear Integral Equations[J].Journal of Huaihua University,2009,28(2). |
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| Authors: | WANG Chun-guang |
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| Institution: | Department of Mathematics and Computer;ChaoYang Teachers' College;Chaoyang;Liaoning 122000 |
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| Abstract: | The fixed point of operator C=A+B has the existence uniqueness,in which A is generalized e-concave and the generalized e-raised monotonic operator,B is a sub-linear operator,and B does not request to have the continuity and compactness condition.Using this conclusion,we can solve some non-linear integral equations solution problem. |
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| Keywords: | fixed point nonlinear integral equations uniqueness |
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