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5.6 Guide to the Literature
de Jager, E.M. and Jiang Furu (1996), The Theory of Singular Perturbations, Elsevier, North-Holland Series in Applied Mathematics and Mechanics 42, Amsterdam.
de Groen, P.P.N. (1977), Spectral properties of second order singularly perturbed boundary value problems with turning points, J. Math. Anal. Appl. 57, pp. 119–149.
de Groen, P.P.N. (1980), The nature of resonance in a singular perturbation problem of turning point type, SIAM J. Math. Anal. 11, pp. 1–22.
Dorr, F.W., Parter, S.V., and Shampine, L.F. (1973), Application of the maximum principle to singular perturbation problems, SIAM Rev. 15, pp. 43–88.
Eckhaus, W. (1979), Asymptotic Analysis of Singular Perturbations, North-Holland, Amsterdam.
Eckhaus, W. and de Jager, E.M. (1966), Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type, Arch. Rat. Mech. Anal. 23, pp. 26–86.
Holmes, M.H. (1998), Introduction to Perturbation Methods, Texts in Applied Mathematics 20, Springer-Verlag, New York.
O’Malley, Jr., R.E. (1991), Singular Perturbation Methods for Ordinary Differential Equations, Applied Mathematical Sciences 89, Springer-Verlag, New York.
Smith, D.R. (1985), Singular Perturbation Theory: An Introduction with Applications, Cambridge University Press, Cambridge.
Vainberg, B.R. (1989), Asymptotic Methods in Equations of Mathematical Physics, Gordon and Breach, New York.
Ward, M.J. (1992), Eliminating indeterminacy in singularly perturbed boundary value problems with translation invariant potentials, Stud. Appl. Math. 91, pp. 51–93.
Ward, M.J. (1999), Exponential asymptotics and convection-diffusion-reaction models, in Proceedings Symposia Applied Mathematics 56, pp. 151–184 (Cronin, J., and O’Malley, Jr., R.E., eds.), American Mathematical Society, Providence, RI.
Wasow, W. (1965), Asymptotic Expansions for Ordinary Differential Equations, Interscience, New York.
Wasow, W. (1984), Linear Turning Point Theory, Springer-Verlag, New York.
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(2005). Two-Point Boundary Value Problems. In: Methods and Applications of Singular Perturbations. Texts in Applied Mathematics, vol 50. Springer, New York, NY. https://doi.org/10.1007/0-387-28313-7_5
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