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中文摘要：
利用Leggett-Williams不动点定理研究了一类具有单调递增同胚和正同态算子的边值问题,得到了三个正解存在的一组充分条件.
英文摘要：
We investigate the existence of three positive solutions for second order three-point nonlinear differential equations boundary value problems with increasing homeomorphism and positive homomorphism operator. By using Leggett-William＇s fixed point theorem, we establish results on the existence of three positive solutions with suitable growth conditions imposed on the nonlinear term. As a application, one example is given to demonstrate our result. The conclusions in this paper essentially extend and improve the known results.
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