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adjoint analytic functions applications approximation assume assumption asymptotic asymptotic stability Banach space bifurcation bifurcation theory boundary condition boundary layer boundary value problem bounded champs de vecteurs coefficients cone consider continuous control process convex set corresponding defined definite denote Department of Mathematics differential operators Dirac operator Dirichlet discretely compact domain eigenvalue problems equivalent essential spectrum exists finite given Green's function Hence Hilbert space holds implies integral equations interval l'ensemble Lemma linear differential linear operator mapping Math matrix method nonlinear norm obtain ordinary differential equations orthogonal partial differential equations periodic solutions perturbation theory polynomials positive constant Proof prove quasimonotone real numbers relation resp result satisfies scalar product selfadjoint sequence sesquilinear forms Singular Perturbation Sleeman strongly elliptic subset subspace sufficiently small Suppose symmetric théorème topological transformation uniformly unique variables weak discrete convergence weakly zero