Geodesic
On asymptotic properties of solutions defined on a half-axis to one semilinear ordinary differential equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 58-67

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We consider solutions to the semilinear ordinary differential equation with a nonlinear term of Emden–Fowler type. The results about the asymptotic behavior of the solutions to the Emden–Fowler equation defined in a neighborhood of infinity, presented in the book of R. Bellman, are extended to the case of equation with lower-order derivative.
Keywords: ordinary differential equation, nonlinear equation, semilinear equation, Emden–Fowler equation, asymptotic behavior of solutions, maximum principle.
Mots-clés : positive solution, existence of solution 
@article{IVM_2017_3_a5,
     author = {I. V. Filimonova and T. S. Khachlaev},
     title = {On asymptotic properties of solutions defined on a half-axis to one semilinear ordinary differential equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {58--67},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_3_a5/}
}
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I. V. Filimonova; T. S. Khachlaev. On asymptotic properties of solutions defined on a half-axis to one semilinear ordinary differential equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 58-67. http://geodesic.mathdoc.fr/item/IVM_2017_3_a5/