Geodesic
On the existence of solutions with prescribed number of zeros to regular nonlinear Emden--Fowler type third-order equation with variable coefficient
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 117-123

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A third order Emden–Fowler type equation is considered. Existence of solution with given number of zeros on given interval is proved. This theorem extends previous results, related to Emden–Fowler type equation with constant coefficient, in case of variable coefficient.
Keywords: Emden–Fowler type equation, oscillating solutions, number of zeros of solution to equation.
Mots-clés : variable coefficient 
@article{VSGU_2015_6_a15,
     author = {V. V. Rogachev},
     title = {On the existence of solutions with prescribed number of zeros to regular nonlinear {Emden--Fowler} type third-order equation with variable coefficient},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {117--123},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2015_6_a15/}
}
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V. V. Rogachev. On the existence of solutions with prescribed number of zeros to regular nonlinear Emden--Fowler type third-order equation with variable coefficient. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 117-123. http://geodesic.mathdoc.fr/item/VSGU_2015_6_a15/