Geodesic
On the spectral properties and positivity of solutions of a periodic boundary value problem for a second-order functional differential equation
Vestnik rossijskih universitetov. Matematika, Tome 25 (2020) no. 130, pp. 123-130

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For a functional-differential operator \begin{equation*} \mathcal{L} u = (1/\rho)\left(-(pu')'+\int_0^l u(s)d_s r(x,s)\right) \end{equation*} with symmetry, the completeness and orthogonality of the eigenfunctions is shown. The positivity conditions of the Green function of the periodic boundary value problem are obtained.
Mots-clés : positive solutions
Keywords: spectral properties. 
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     author = {M. J. Alves and S. M. Labovski},
     title = {On the spectral properties and positivity of solutions of a periodic boundary value problem for a second-order functional differential equation},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {123--130},
     publisher = {mathdoc},
     volume = {25},
     number = {130},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2020_25_130_a1/}
}
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M. J. Alves; S. M. Labovski. On the spectral properties and positivity of solutions of a periodic boundary value problem for a second-order functional differential equation. Vestnik rossijskih universitetov. Matematika, Tome 25 (2020) no. 130, pp. 123-130. http://geodesic.mathdoc.fr/item/VTAMU_2020_25_130_a1/