| 一般核超线性积分方程的多解 |
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| 引用本文： | 刘希玉.一般核超线性积分方程的多解[J].山东师范大学学报(自然科学版),1993,8(2):6-10,39. |
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| 作者姓名： | 刘希玉 |
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| 作者单位： | 山东师范大学数学系 济南 |
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| 摘 要： | 本文讨论一般核超线性积分方程的多解,其中非线性项f(t,u)形式为a(t)u~r+g(t,u),g(t,u)为扰动项,文4]的结果不适合这种带扰动项的方程。本文证明当扰动项为a(t)u~r的低阶无穷大时方程存在多解,部分解决了文2]提出的问题。
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| 关 键 词： | 积分方程 超线性 解 核 |
MULTIPLE SOLUTIONS TO INTEGRAL EQUATIONS WITH GENERAL KERNEL |
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| Liu Xiyu Author's address.MULTIPLE SOLUTIONS TO INTEGRAL EQUATIONS WITH GENERAL KERNEL[J].Journal of Shandong Normal University(Natural Science),1993,8(2):6-10,39. |
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| Authors: | Liu Xiyu Author's address |
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| Institution: | Liu Xiyu Author's address Department of Mathematics,Shandong Normal University,Jinan,PRC,250014 |
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| Abstract: | This paper deals with the multiplicity of solutions to integral solutions with general kernel, where the nonlinearity f(t,u) has the form a(t)u~p+g(t,u), and g(t, u) is a disturbance. The results in 4] is invalid in this case. We get multiple solutions when g(t,u) is O(au~p), and partly answer the question in 2] |
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| Keywords: | link integral equations superlinear |
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