J 2014

On super-linear Emden–Fowler type differential equations

DOŠLÁ, Zuzana and Mauro MARINI

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.120

RIV identification code

RIV/00216224:14310/14:00074236

Organization unit

Faculty of Science

UT WoS

000335368100002

Keywords in English

Second order nonlinear differential equation; Globally positive solution; Intermediate solutions; Oscillatory solution.

Tags

Změněno: 10/4/2015 13:53, Ing. Andrea Mikešková

Abstract

V originále

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