Geodesic
Existence and uniqueness of a positive solution to a boundary value problem for a second order functional-differential equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2021), pp. 3-8

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In the paper, a boundary value problem for one functional-differential equation of the second order with sufficiently general linear homogeneous boundary conditions. On the basis of the theory of semi-ordered spaces with the help of special topological means, the existence of a unique positive solution to the problem under study is proved.
Mots-clés : positive solution
Keywords: boundary value problem, cone, asymptotic derivative, spectral radius. 
@article{IVM_2021_12_a0,
     author = {G. E. Abduragimov},
     title = {Existence and uniqueness of a positive solution to a boundary value problem for a second order functional-differential equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--8},
     publisher = {mathdoc},
     number = {12},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_12_a0/}
}
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G. E. Abduragimov. Existence and uniqueness of a positive solution to a boundary value problem for a second order functional-differential equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2021), pp. 3-8. http://geodesic.mathdoc.fr/item/IVM_2021_12_a0/