Geodesic
On the existence of a positive solution of a boundary value problem for a nonlinear second-order functional-differential equation with integral boundary conditions
Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 3-9

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A boundary value problem for a nonlinear second-order functional-differential equation on the interval $[0,1]$ with integral boundary conditions is considered. Sufficient conditions for the existence of at least one positive solution of the problem under consideration are found by using special topological tools. A nontrivial example in which the sufficient conditions for the unique solvability of the problem are satisfied is given.
Keywords: functional-differential equation, boundary value problem, cone, Green function.
Mots-clés : positive solution 
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     author = {G. E. Abduragimov},
     title = {On the existence of a positive solution of a boundary value problem for a nonlinear second-order functional-differential equation with integral boundary conditions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--9},
     publisher = {mathdoc},
     volume = {116},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a0/}
}
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G. E. Abduragimov. On the existence of a positive solution of a boundary value problem for a nonlinear second-order functional-differential equation with integral boundary conditions. Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a0/