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Pure Mathematics 2021
带积分边界条件的非线性二阶常微分方程多个正解的存在性
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Abstract:
![\"\"](\"Edit_7d8a94f4-ea50-4a63-80e5-c57381019ede.png\")
多个正解的存在性,其中0 < η < 1是常数,0 < λ < 2/n2是参数,f:[0,1]×[0,∞)→[0,∞)是连续函数,a:[0,1]→[0,+∞)是连续函数,且在[0,1]的任一子区间上不恒为零.![\"\"](\"Edit_ebab1410-04fa-4416-8981-85612cafbc18.png\")
by the Krasnoselskii’s fixed point theorem on cones. where 0 < η < 1 is a constant, 0 < λ < 2/n2 is a parameter, f:[0,1]×[0,∞)→[0,∞) is continuous, a:[0,1]→[0,+∞) is continuous, and a(t) ？ 0 on any subinterval of [0,1].
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