Convergence of the method of trigonometric collocation for nonlinear periodic systems of differential equations with retarded argument

Spectral properties of boundary-value-transmission problems with a constant retarded argument

“…Thus, the results obtained in this work are an extension and generalization of previous works in the literature. For example, if we take a = 0 and/or d 3 = 0 and/or r(x) ≡ 1 then the asymptotic formulas for eigenvalues and eigenfunctions correspond to those for the classical Sturm-Liouville problem [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Moreover, results and methods of these kinds of problems can be useful for investigating the inverse problems for ordinary and partial differential equations (see, e.g., [19]).…”