Geodesic
On non-extensible solutions to second-order Emden--Fowler type differential equations with negative potential
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 26 (2016) no. 2, pp. 231-238

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Second-order Emden–Fowler 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 non-extensible solution with prescribed domain is proved.
Keywords: nonlinear differential equations, second-order, Emden–Fowler equations, continuous dependence of asymptote position, prescribed domain. 
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     author = {T. A. Korchemkina},
     title = {On non-extensible solutions to second-order {Emden--Fowler} type differential equations with negative potential},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {231--238},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2016_26_2_a8/}
}
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T. A. Korchemkina. On non-extensible solutions to second-order Emden--Fowler type differential equations with negative potential. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 26 (2016) no. 2, pp. 231-238. http://geodesic.mathdoc.fr/item/VUU_2016_26_2_a8/