scholarly journals On the solvability of the periodic boundary value problem for a linear functional differential equation

Author(s):  
E.I. Bravyi ◽  
Author(s):  
Manuel J. Alves ◽  
Sergey M. Labovskiy

For a functional-differential operator Lu = (1/ρ)(-(pu')' + ∫_0^l▒〖u(s)d_s r(x,s)〗) with symmetry, the completeness and orthogonality of the eigenfunctions is shown. Thepositivity conditions of the Green function of the periodic boundary value problem areobtained.


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