infinitely many singularities
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Author(s):  
Daniel J. Bates ◽  
Daniel A. Brake ◽  
Jonathan D. Hauenstein ◽  
Andrew J. Sommese ◽  
Charles W. Wampler

2012 ◽  
Vol 22 (11) ◽  
pp. 1250273 ◽  
Author(s):  
M. CAUBERGH ◽  
J. LLIBRE ◽  
J. TORREGROSA

We study the reversible cubic vector fields of the form ẋ = -y + ax2+ bxy + cy2- y(x2+ y2), ẏ = x + dx2+ exy + fy2+ x(x2+ y2), having simultaneously a center at infinity and at the origin. In this paper, the subclass of these reversible systems having collinear or infinitely many singularities are classified with respect to topological equivalence.


2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Fuyi Xu ◽  
Yonghong Wu ◽  
Lishan Liu ◽  
Yunming Zhou

We study a three-point nonlinear boundary value problem with higher-orderp-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators in a cone.


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