On the complex structure of positive solutions to Matukuma-type equations
Patricio Felmer, Alexander Quaas, Moxun Tang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Patricio Felmer, Alexander Quaas, Moxun Tang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Fang, Zhong Bo, Piao, Daxiong, Wang, Jian (2009)
Boundary Value Problems [electronic only]
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Changming Ding (2005)
Czechoslovak Mathematical Journal
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This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed. ...
Shi, Peihu, Wang, Mingxin (2006)
Journal of Inequalities and Applications [electronic only]
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Czeslaw Olech (1964)
Annales de l'institut Fourier
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Hwang, Dah-Yan (2004)
International Journal of Mathematics and Mathematical Sciences
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Sengul, Mustafa Taylan (2007)
Applied Mathematics E-Notes [electronic only]
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Sadallah, Boubaker-Khaled (2008)
Applied Mathematics E-Notes [electronic only]
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