infinitely many singularities
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On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities

2014 ◽  
pp. 246-252 ◽  
Author(s):  
Daniel J. Bates ◽  
Daniel A. Brake ◽  
Jonathan D. Hauenstein ◽  
Andrew J. Sommese ◽  
Charles W. Wampler
Keyword(s):  
Cell Decomposition ◽  
Real Surface ◽  
A Cell ◽  
Infinitely Many Singularities

scholarly journals GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH COLLINEAR OR INFINITELY MANY SINGULARITIES

2012 ◽  
Vol 22 (11) ◽  
pp. 1250273 ◽  
Author(s):  
M. CAUBERGH ◽  
J. LLIBRE ◽  
J. TORREGROSA
Keyword(s):  
Vector Fields ◽  
Phase Portraits ◽  
Topological Equivalence ◽  
Reversible Systems ◽  
Infinitely Many Singularities

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.

scholarly journals Positive solutions of three-point boundary value problems for higher-orderp-Laplacian with infinitely many singularities

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Fuyi Xu ◽  
Yonghong Wu ◽  
Lishan Liu ◽  
Yunming Zhou
Keyword(s):  
Fixed Point ◽  
Positive Solutions ◽  
Fixed Point Index ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Index Theorem ◽  
Point Boundary ◽  
Point Index ◽  
Fixed Point Index Theorem ◽  
Infinitely Many Singularities

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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