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.
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