On super-linear Emden–Fowler type differential equations

DOŠLÁ, Zuzana and Mauro MARINI. On super-linear Emden–Fowler type differential equations. Journal of Mathematical Analysis and Applications. 2014, vol. 416, No 2, p. 497-510. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2014.02.052.

Basic information

• Original name: On super-linear Emden–Fowler type differential equations
• Authors: DOŠLÁ, Zuzana (203 Czech Republic, guarantor, belonging to the institution) and Mauro MARINI (380 Italy).
• Edition: Journal of Mathematical Analysis and Applications, 2014, 0022-247X.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 1.120
• RIV identification code: RIV/00216224:14310/14:00074236
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1016/j.jmaa.2014.02.052
• UT WoS: 000335368100002
• Keywords in English: Second order nonlinear differential equation; Globally positive solution; Intermediate solutions; Oscillatory solution.
• Tags: AKR, rivok

Abstract

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.

Links

• GAP201/11/0768, research and development project: Name: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace

Investor: Czech Science Foundation