ABSTRACT
B.1. Linear Ordinary Differential Operator with Constant Coefficients that satisfies the equation
Lu∗(x) = dnu∗
dxn + a1
dn−1u∗
dxn−1 + · · ·+ an−1 du
dx + anu∗ = δ(x),
where u∗ = u∗(x, 0), has fundamental solution:
u∗ = H(x)w(x), (B.1)
where H(x) is the Heaviside function, and w(x) ∈ Cn(R) is the solution of the homogeneous equation Lw = 0 with the initial conditions w(0) = w′(0) = · · · = w(n−2)(0) = 0, w(n−1)(0) = 1.
