Multi-point boundary value problems for systems of generalized ordinary differential equations

摘要

In this chapter, we consider a linear system of generalized ordinary differential equations dx = dA(t) · x + df(t) for t ∈ [a, b]. (2.1.1) Below, unless otherwise stated, we assume that A = (aik)n i,k=1 ∈ BV([a, b]; Rn×n), f = (fk)nk=1 ∈ BV([a, b]; Rn).