Archive of Issues
Russia Moscow
Section  Mathematics 
Title  On nonextensible solutions to secondorder EmdenFowler type differential equations with negative potential 
Author(s)  Korchemkina T.A.^{a} 
Affiliations  Lomonosov Moscow State University^{a} 
Abstract  Secondorder EmdenFowler type differential equations with regular nonlinearity and bounded negative potential depending on an independent variable, the solution and its first derivative are considered. The results on the existence of asymptotes of nontrivial solutions and estimates of the distance from the initial point to left and right asymptotes positions are given. Continuous dependence of the positions of left and right asymptotes of nontrivial solutions is obtained. The existence of a nonextensible solution with prescribed domain is proved. 
Keywords  nonlinear differential equations, secondorder, EmdenFowler equations, continuous dependence of asymptote position, prescribed domain 
UDC  517.925.44 
MSC  34A99 
DOI  10.20537/vm160209 
Received  18 May 2016 
Language  Russian 
Citation  Korchemkina T.A. On nonextensible solutions to secondorder EmdenFowler type differential equations with negative potential, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2016, vol. 26, issue 2, pp. 231238. 
References 

Full text 