Ordinary Difference-Differential Equations

a₁ a₂ abscissa analytic apply asymptotic roots boundary conditions bounded variation C₁ C₂ cell chapter characteristic equation characteristic roots coefficients complex complex conjugate constant contour converges converges absolutely convex hull corner point corresponding cross sections curve D-set defined denote differential equations equation 2.4 equation 5.3 equation system Euler-Laplace transformation figure finite interval finite number functions y(t h in H integer interval in H k)-root plateau L-segment L₁ Laplace transformation lemma linear method mixed difference-differential equation multiple roots obtained oscillation plateau boundaries plotted polynomial prescribed and integrable problems pseudo-positive roots quantities range real roots root plateau satisfied semicircle at infinity Series Solution solved summation Suppose theorem 2.1 theory theory of equation tions Y₁ Y₁(t z-plane z₁ zero Σ Σ Σπί ΣΣ