On super-linear Emden–Fowler type differential equations

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Authors	DOŠLÁ Zuzana MARINI Mauro
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Journal of Mathematical Analysis and Applications
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.sciencedirect.com/science/article/pii/S0022247X14001905
Doi	http://dx.doi.org/10.1016/j.jmaa.2014.02.052
Field	General mathematics
Keywords	Second order nonlinear differential equation; Globally positive solution; Intermediate solutions; Oscillatory solution.
Description	We study the second order Emden–Fowler type differential equation in the super-linear case. Using a Hölder-type inequality, we resolve the open problem on the possible coexistence on three possible types of nononscillatory solutions (subdominant, intermediate, and dominant solutions). Jointly with this, sufficient conditions for the existence of globally positive intermediate solutions are established. Some of our results are new also for the Emden–Fowler equation.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace