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NON-NEGATIVE SOLUTIONS FOR A CLASS OF NON-POSITONE PROBLEMS
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作者 杨作东 杨会生 崔光云 《Annals of Differential Equations》 1997年第3期304-312,共9页
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 imp... 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. 展开更多
关键词 bonndary value problems non-negative solutions uniquenness
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