| THE RELATION BETWEEN SIGN-CHANGING SOLUTION AND POSITIVE-NEGATIVE SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS |
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| 引用本文： | 张克梅,孙经先. THE RELATION BETWEEN SIGN-CHANGING SOLUTION AND POSITIVE-NEGATIVE SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS[J]. 数学物理学报(B辑英文版), 2004, 24(3): 463-468 |
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| 作者姓名： | 张克梅 孙经先 |
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| 作者单位： | [1]DepartmentofMathematics,QufuNormalUniversity,Shandong273165,China [2]DepartmentofMathematics,XuzhouNormalUniversity,Jiangsu221116,China |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金，the doctoral Foundation of Shandong Province |
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| 摘 要： | By fixed point index theory and a result obtained by Amann, existence of the solution for a class of nonlinear operator equations x=Ax is discussed. Under suitable conditions, a couple of positive and negative solutions are obtained. Finally, the abstract result is applied to nonlinear Sturm-Liouville boundary value problem, and at least four distinct solutions are obtained.
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| 关 键 词： | 锥 不动点序列理论 标准正算子 非线性算子方程 |
THE RELATION BETWEEN SIGN-CHANGING SOLUTION AND POSITIVE-NEGATIVE SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS |
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| Zhang Kemei. THE RELATION BETWEEN SIGN-CHANGING SOLUTION AND POSITIVE-NEGATIVE SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS[J]. Acta Mathematica Scientia, 2004, 24(3): 463-468 |
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| Authors: | Zhang Kemei |
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| Affiliation: | Zhang Kemei Department of Mathematics,Qufu Normal University,Shandong 273165,ChinaSun Jingxian Department of Mathematics,Xuzhou Normal University,Jiangsu 221116,China |
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| Abstract: | By fixed point index theory and a result obtained by Amann, existence of the solution for a class of nonlinear operator equations x = Ax is discussed. Under suitable conditions, a couple of positive and negative solutions are obtained. Finally, the abstract result is applied to nonlinear Sturm-Liouville boundary value problem, and at least four distinct solutions are obtained. |
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| Keywords: | Cone fixed point index theory uniformly positive operator |
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