| 奇异非线性动力方程可数个正解的存在性 |
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| 引用本文： | 万保成.奇异非线性动力方程可数个正解的存在性[J].吉林大学学报(理学版),2010,48(5):749-754. |
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| 作者姓名： | 万保成 |
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| 作者单位： | 吉林农业大学 信息技术学院, 长春 130118 |
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| 摘 要： | 考虑时标上二阶奇异动力方程:{φ(u△(t))]▽+a(t)f(u(t))=0,t∈(0,T),u(0)-βu△(0)=γu△(η),u△(T)=0,其中:φ:→是增同胚和正同态,且φ(0)=0;β,γ≥0;0ηρ(T);a:0,T]→0,+∞)在0,T]上有可数多个奇点.利用可积性处理奇性,并使用不动点指数定理证明了上述方程存在可数多个正解。
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| 关 键 词： | 动力方程 时标 奇性 正解 不动点指数 |
| 收稿时间： | 2010-01-21 |
Existence of Countably Many Positive Solutions to Nonlinear Dynamic Equations with Singularity |
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| WAN Bao-cheng.Existence of Countably Many Positive Solutions to Nonlinear Dynamic Equations with Singularity[J].Journal of Jilin University: Sci Ed,2010,48(5):749-754. |
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| Authors: | WAN Bao-cheng |
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| Institution: | College of Information Technology, Jilin Agricultural University, Changchun 130118, China |
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| Abstract: | The present paper focuses on the following singular second order dynamic equation on time scales:
We dealt with the singularity utilizing the integration, and investigated the existence of countably many positive solutions to the equation with the fixed point index theory. |
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| Keywords: | dynamic equation time scale singularity positive solution fixed point index |
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