Ordinary Difference-differential Equations

&)-root plateau abscissa Appendix apply approximations arbitrary constant asymptotic roots Bateman boundary conditions bounded variation calculated cell chapter characteristic equation characteristic function characteristic roots coefficients complex conjugate complex plane computed considered contour converges absolutely convex hull corner point corresponding cross sections curve D-diagram D-set defined denote derivatives determined differential equations double root equa equation 2.4 equation 5.3 equation system Euler-Laplace transformations figure finite interval finite number form of equation given holds influence function inserting integer Laplace transformation left-hand side lemma linear method mixed difference-differential equation nonlinear obtained ordinary differential equation oscillation plotted polynomial prescribed and integrable problems pseudo-positive roots quantities range h real and imaginary real roots right-hand side semicircle at infinity series solution solution of equation solved Substituting summation Suppose theorem 2.1 theory tion Titchmarsh trajectory trend equations uniformly convergent values variables wk(t Yk(z z-plane zero