| 非线性项含导数项的奇异半正脉冲微分方程多解的存在性 |
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| 引用本文： | 黄明明,路慧芹.非线性项含导数项的奇异半正脉冲微分方程多解的存在性[J].应用泛函分析学报,2012,14(3):298-305. |
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| 作者姓名： | 黄明明 路慧芹 |
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| 作者单位： | 山东师范大学 数学科学学院,济南,250014 |
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| 基金项目： | 山东省高等学校科技计划项目 |
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| 摘 要： | 利用不动点指数定理，讨论了脉冲微分方程边值问题正解的存在性，得到了一个正解存在的四个充分条件，以及至少两个正解存在的两个充分条件．这里的非线性项f变号，可能在t=0，t=1有奇性，并且含一阶导数．最后给出例子说明其应用．
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| 关 键 词： | 奇异性 正解 脉冲微分方程 不动点指数 |
Existence of Multiple Positive Solutions for Singular Semipositone Boundary Value Problem of Impulsive Differential Equations with the First Derivative in the Nonlinear Term |
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| HUANG Mingming
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LU Huiqin.Existence of Multiple Positive Solutions for Singular Semipositone Boundary Value Problem of Impulsive Differential Equations with the First Derivative in the Nonlinear Term[J].Acta Analysis Functionalis Applicata,2012,14(3):298-305. |
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| Authors: | HUANG Mingming LU Huiqin |
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| Institution: | Department of Mathematics,Shandong Normal University,Ji’nan 250014,China |
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| Abstract: | By using the fixed point index theory, this paper investigates the existence of positive solutions for boundary value problems of impulsive differential equations and gets four sufficient conditions about one positive solution and two sufficient conditions of two positive solutions. The nonlinear term can change the sign, may be singular at t = 0 and t -=1 and the first derivative is also in the nonlinear term. Finally, one example is provided to demonstrate the apptiation of the main results. |
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| Keywords: | singular property positive solution impulsive differential equation fixed point index |
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