On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems

On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems

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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]. 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].

作者 Zhao-cai HaoDepartment of Mathematics, Qufu Normal University, Qufu 273165, China

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2002年第4期569-578,共10页 应用数学学报（英文版）

基金 the National Natural Science Foundation of China (No.19871048) Natural Science Foundation of Shandong Province of China (No.Z2000A02, Y2001A03).

关键词 Eigenvalue intervals EIGENFUNCTIONS fixed points cone Eigenvalue intervals, eigenfunctions, fixed points, cone

分类号 O174 [理学—基础数学]

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Acta Mathematicae Applicatae Sinica

2002年第4期

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On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems

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