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The general linear equation
The autonomous homogeneous equation
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a,cp absolutely convergent adjoint applications asymptotically orbitally stable asymptotically stable Banach space bilinear form bounded variation Brayton 13 characteristic equation CLASS OF FUNCTIONAL computations constants formula continuous functions contracting mapping COROLLARY cp belongs decomposition defined delay differential equations denote derivatives with respect dG(p dp eigenspace eigenvalues equation 1(3 equations of neutral estimate f and g f(xs)ds finite dimensional finite number finite set follows forcing function functions from a,b functions in 17 g are independent g(cp g(xt Hille and Phillips implies inequality infinitesimal integral manifold Jordan canonical form Lemma matrix valued function neutral type nonlinear norm obtain ordinary differential equations periodic solution R X RP Rq real number real part greater retarded type roots have real row vectors semigroup simplicity in notation solution of 1(3 subspaces Suppose t e 0,a topology uniformly with respect unique solution variation of constants x(cp