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Pure Mathematics 2021
一类非线性三阶奇摄动边值问题解的存在性和渐近估计
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Abstract:
![\"\"](\"Edit_dac60219-0d19-4784-bf6e-245999d8d466.png\")
解的存在性和渐近估计, 其中0 < η < 1，0 < ξη < 1. 通过构造一个恰当的广义上下解对和运用Nagumo 条件和边界层函数,我们得到上述问题解的存在性,并且给出了解的一致有效渐近估计.![\"\"](\"Edit_634b9a3c-2368-4bf3-b27e-efc5ea003658.png\")
where 0 < η < 1, 0 < ξη < 1. By constructing an appropriate generalized upper- and lower-solution pair and employing the Nagumo conditions and boundary layer functions, we obtain the existence of solutions to the above problem and give uniformly valid asymptotic estimates of the solutions.
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