NON-NEGATIVE SOLUTIONS FOR A CLASS OF NON-POSITONE PROBLEMS  

作　　者：杨作东[1] 杨会生[1] 崔光云[2] 

机构地区：[1]河南师范大学,453002 [2]平原大学,453002

出　　处：《Annals of Differential Equations》1997年第3期304-312,共9页微分方程年刊（英文版）

摘　　要：In the recent past maily results have been established on non-negative solu tions to boundry value problems of the form u(0) = 0= u(1) where λ > 0, f(0) > 0 (positone problem). In this paper we consider the impact on the non-negative solutions when f(0) <0. We find that we need f(u) to be convex to guarantee uniquenness of positive solutions and f(u) to be appropriately concave for multiple positive solutions.In the recent past maily results have been established on non-negative solu tions to boundry value problems of the form u(0) = 0= u(1) where λ > 0, f(0) > 0 (positone problem). In this paper we consider the impact on the non-negative solutions when f(0) <0. We find that we need f(u) to be convex to guarantee uniquenness of positive solutions and f(u) to be appropriately concave for multiple positive solutions.

关 键 词：Bonndary value problems non-negative solutions uniquenness 

分 类 号：O313.4[理学—一般力学与力学基础]