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THREE CRITICAL POINTS THEOREM AND ITS APPLICATIONS
作者姓名:Zhang  Shiqing
作者单位:Zhang Shiqing
摘    要:In this paper, by use of the pseudo-gradient vector field, the three critical points theorem in 2] is extended to the C1 function in the Ba-nach space, and therefore the three critical, points theorem in 5] is strengthened and the existence of the saddle point of the C2 function is discussed.

关 键 词:pseudo-gradient  vector  field  critical  point  saddle  point

THREE CRITICAL POINTS THEOREM AND ITS APPLICATIONS
Zhang Shiqing.THREE CRITICAL POINTS THEOREM AND ITS APPLICATIONS[J].Storage & Process,1989(1):105-107.
Authors:Zhang Shiqing
Institution:Zhang Shiqing
Abstract:In this paper, by use of the pseudo-gradient vector field, the three critical points theorem in 2] is extended to the C1 function in the Ba-nach space, and therefore the three critical, points theorem in 5] is strengthened and the existence of the saddle point of the C2 function is discussed.
Keywords:pseudo-gradient vector field  critical point  saddle point
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