The dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations

A singular problem for functional differential equations with decreasing non‐linearities

“…In contrast to the case of ordinary differential equations, significantly less is known for singular equations with argument deviations. [9][10][11][12][13][14][15][16] The recent works [17][18][19][20] contain a thorough investigation of linear scalar functional differential equations with time singularities based on the study of the solution space of a model equation. 21 Singular initial value problems for non-linear equations have been studied mainly in the Volterra case.…”

“…Singular initial value problems for various classes of ordinary differential equations had been studied, for example, in previous studies 2–6 ; for two‐point and more general boundary problems for such equations, see previous works 7,8 and references therein. In contrast to the case of ordinary differential equations, significantly less is known for singular equations with argument deviations 9–16 . The recent works 17–20 contain a thorough investigation of linear scalar functional differential equations with time singularities based on the study of the solution space of a model equation 21 .…”