| On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems |
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| 作者姓名： | Zhao-cai Hao |
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| 作者单位： | Zhao-cai HaoDepartment of Mathematics，Qufu Normal University，Qufu 273165，China |
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| 基金项目： | the National Natural Science Foundation of China (No.19871048)，Natural Science Foundation of Shandong Province of China (No.Z2000A02, Y2001A03). |
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| 摘 要： | In this paper we shall consider the nonresonance Dirichlet boundary value problemwhere λ>0 is a parameter, p>0 is a constant. Intervals of A are determined to ensure the existence of a nonnegative solution of the boundary value problem. For λ=1, we shall also offer criteria for the existence of eigenfunctions. The main results include and improve on those of 2,4,6,8].
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On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems |
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| Zhao-cai Hao.On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems[J].Acta Mathematicae Applicatae Sinica,2002,18(4):569-578. |
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| Authors: | Zhao-cai Hao |
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| Institution: | (1) Department of Mathematics, Qufu Normal University, Qufu 273165, China (E-mail: zchjal@163.com), CN |
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| Abstract: | |
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| Keywords: | Eigenvalue intervals eigenfunctions fixed points cone |
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