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@article{1214551, author = {Došlá, Zuzana and Marini, Mauro}, article_number = {2}, doi = {http://dx.doi.org/10.1016/j.jmaa.2014.02.052}, keywords = {Second order nonlinear differential equation; Globally positive solution; Intermediate solutions; Oscillatory solution.}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {On super-linear Emden–Fowler type differential equations}, url = {http://www.sciencedirect.com/science/article/pii/S0022247X14001905}, volume = {416}, year = {2014} }
TY - JOUR ID - 1214551 AU - Došlá, Zuzana - Marini, Mauro PY - 2014 TI - On super-linear Emden–Fowler type differential equations JF - Journal of Mathematical Analysis and Applications VL - 416 IS - 2 SP - 497-510 EP - 497-510 SN - 0022247X KW - Second order nonlinear differential equation KW - Globally positive solution KW - Intermediate solutions KW - Oscillatory solution. UR - http://www.sciencedirect.com/science/article/pii/S0022247X14001905 L2 - http://www.sciencedirect.com/science/article/pii/S0022247X14001905 N2 - 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. ER -
DOŠLÁ, Zuzana a Mauro MARINI. On super-linear Emden–Fowler type differential equations. \textit{Journal of Mathematical Analysis and Applications}. 2014, roč.~416, č.~2, s.~497-510. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2014.02.052.
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