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

作　　者：Zhao-cai HaoDepartment of Mathematics, Qufu Normal University, Qufu 273165, China 

出　　处：《Acta Mathematicae Applicatae Sinica》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).

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].

关 键 词：Eigenvalue intervals EIGENFUNCTIONS fixed points cone 

分 类 号：O174[理学—数学]