关键词: Krasnosels’kii定理; 边值问题; 正解; Caratheódory条件

Abstract:

Without requiring the nonlinearity f(x,y) to be continuous and be lower bounded, when f(x,y) satisfies the Caratheódory condition, it is proved that there exists positive solutions to a class of 2nthorder superlinear semipositive boundary value problems. Our work improves some known results.

Key words: Krasnosels’kii theorem; boundary value problem; positive sol ution; Caratheódory condition