“…Over the last years, E.G. Ladopoulos introduced and studied several linear (Ladopoulos, 1988a, b, 1991a, b, 1993, 2000) and non‐linear singular integro‐differential equations methods (Ladopoulos, 1991c, 1994, 1995, 1997) for the solution of many important problems of structural analysis and fluid mechanics. On the other hand, an ordinary differential equations analysis is proposed by the present investigation, for the solution of some generalized dynamic analysis problems for non‐linear (non‐symmetrical) structures.…”