Positive Solutions for Three-Point Boundary Value Problems of Third-Order Nonlinear Singular Differential Equations in Banach Space

Li Xiguang
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Abstract

In this paper, by constructing a special set and utilizing fixed point index theory, we study the existence of solution for singular differential equation in Banach space, which improved and generalize the result of related paper. Keywords—Banach space, cone, fixed point index, singular differential equation.
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Banach空间中三阶非线性奇异微分方程三点边值问题的正解
本文通过构造一个特殊的集合,利用不动点指标理论,研究了Banach空间中奇异微分方程解的存在性,改进和推广了相关文献的结果。关键词:banach空间,锥,不动点指数,奇异微分方程。
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