ABSTRACT
This chapter begins with some non-traditional implementations of the influence function method in applied mechanics. It deals with the statements that reduce to the so-called multi-point posed boundary value problems for systems of linear ordinary differential equations. The chapter discusses each equation in the systems, a single unknown function and is formulated over an individual domain. The system is formed by letting the single domains contact each other at their end-points which become contact points. The chapter describes the notion of a matrix of Green's type which is introduced for a piecewise homogeneous media of sandwich type and influence matrices for multi-spanned beams. It explores the notion of a matrix of Green's type to problems of applied mechanics stated on complex assemblies of one-dimensional elements. The chapter considers multi-point posed boundary value problems where domains of independent variables consist of series of segments.
