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中文摘要：
本文研究了Banach空间中非线性全连续算子在不假设Fréchet可微的条件下,歧点的存在性和不存在性.利用齐次算子,获得了这类算子歧点的存在和不存在的充分条件,推广和改进了已有文献中的结果.
英文摘要：
This article deals with the existence and nonexistence of bifurcation points of nonlinear operators in Banach space under the conditions that the Fréchet differentiability is not assumed.By means of positively homogeneous operator,we obtain suffcient conditions for this kind of operators.Some results in the literature are improved and extended.
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