...上、下解;全连续算子 [gap=779]keywords:delay differential equation; boundary value problem; the fixed point; the upper and lower solutions; completely continuous operator ..
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By means of lower-upper solutions methods, theory of fixed point indices and local bifurcation theory, the conditions for multiplicity and uniqueness positive solutions of this system was obtained.
运用上下解方法,不动点指数理论,局部分歧理论,得出了该系统存在多个正解或惟一正解的条件,即参数对解的个数有一定影响。
The existence theorem of a class of periodic boundary value problems for first order nonlinear integrodifferential equations is obtained through the method of lower and upper solutions.
研究了一类纯量形式非线性积分微分方程周期边值问题,利用上下解法证明了解的存在性。
Methods the upper-lower solutions, monotone derivative methods, the maximum principle, comparison principle and principal eigenvalue theory were used.
方法采用上下解的方法、单调迭代法、比较原理、极值原理以及特征值理论进行了研究。
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