On super-linear Emden–Fowler type differential equations

• Autoři: DOŠLÁ Zuzana; MARINI Mauro
• Rok publikování: 2014
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Journal of Mathematical Analysis and Applications
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: http://www.sciencedirect.com/science/article/pii/S0022247X14001905
• Doi: http://dx.doi.org/10.1016/j.jmaa.2014.02.052
• Obor: Obecná matematika
• Klíčová slova: Second order nonlinear differential equation; Globally positive solution; Intermediate solutions; Oscillatory solution.
• Popis: 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.

Související projekty

• Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace