Analytic simplification of second order systems with a combined transition-regular singular point

1 Cherry, T. M. Uniform Asymptotic Formulae for Functions witn Transition Points Transactions of the American Mathematical Society 68 1950 224-257 MR0034494 87 Cache/Ch/Cherry,Asymptotic,Transactions*,1950,1951

2 Friedrichs, K. O., Special Topics in Analysis, Lecture notes, N. Y. U., 1953-54 Data is not found in MathSci. Cache/Fr/Friedrichs,Analysis,*,1953,1954 3 Hsieh, P. F.; Sibuya, Y., On the Two Point Connection Problem for Second Order Linear Ordinary Differential Equations, Mathematics Research Center, U. S. Army, Univ. of Wisconsin, Technical Summary Report No. 505, Sept. 1964

4 Hukuhara, M. Sur les proprietes asymptotiques des solutions d'un système d'équations différentielles linéaires contenant un paramètre Memoires of the Faculty of Engineering, Kyushu Imperial University 8 1937 249-280 Data is not found in MathSci. Cache/Hu/Hukuhara,asymptotiques,Kyushu*,1937,1938

5 Iwano, M.; Sibuya, Y. Reduction of the Order of a Linear Ordinary Differential Equation Containing a Small Parameter Kodai Mathematical Seminar Reports 15 1963 1-28 MR0149034 100 Cache/Iw/Iwano,Reduction,Kodai*,1963,1964

6 Iwano, M. Asymptotic Solutions of a System of Linear Ordinry Differential Equations Containing a Small Parameter, I Funkcialaj Ekvacioj 5 1963 71-134 MR0171045 0171045 93 Cache/Iw/Iwano,Asymptotic,Funkcialaj*,1963,1964 7 Iwano, M. Asymptotic Solutions of a System of Linear Ordinary Differential Equations Containing a Small Parameter, II Funkcialaj Ekvacioj 6 1964 89-141 MR0176179 0176179 80 Cache/Iw/Iwano,Asymptotic,Funkcialaj*,1964,1965

8 Langer, R. E. The Asymptotic Solutions of Certain Linear Ordinary Differential Equations of the Second Order Transactions of the American Mathematical Society 36 1934 90-106 MR1501736 100 Cache/La/Langer,Asymptotic,Transactions*,1934,1935

9 Langer, R. E. The Asymptotic Solutions of Ordinary Linear Differential Equations of the Second Order, with Special Reference to a Turning Point Transactions of the American Mathematical Society 67 1949 461-490 MR0033420 100 Cache/La/Langer,Asymptotic,Transactions*,1949,1950

10 Langer, R. E. The Solutions of a Class of Ordinary Linear Differential Equations of the Third Order in a Region Containing a Multiple Turning Point Duke Mathematical Journal 23 1956 93-110 MR0079684 95 Cache/La/Langer,Solutions,Duke*,1955,1956

11 Olver, F. W. J. The Asymptotic Solution of Linear Differential Equations of the Second Order for Large Values of a Parameter Royal Society of London, Philosophical Transactions 247 1954 307-327 MR0067249 100 Cache/Ol/Olver,Asymptotic,Royal*,1954,1955

12 Olver, F. W. J. he Asymptotic Solution of Linear Differential Equations of the Second Order in a Domain Containing One Transition Point Royal Society of London, Philosophical Transactions 249 1956 65-97 MR0079157 100 Cache/Ol/Olver,Asymptotic,Royal*,1956,1957

13 Olver, F. W. J. Uniform Asymptotic Expansions of Solutions of Linear Second-Order Differential Equations for Large Values of a Parameter Royal Society of London, Philosophical Transactions 250 1958 479-517 MR0094496 Cache/Ol/Olver,000,Royal*,1958,1959

14 Russell, D. L., Analytic Simplification of Second Order Systems with Transition Points, Thesis, University of Minnesota, August, 1964 15 Russell, D. L.; Sibuya, Y., The Problem of Singular Perturbations of Linear Ordinary Differential Equations at Regular Singular Points,Mathematics Research Center, U. S. Army, Univ. of Wisconsin, Technical Summary Report No. 580, July, 1965 Data is not found in MathSci. Cache/Ru/Russell,Points,Mathematics,U*,1965,1966

16 Sibuya, Y. Sur reduction analytique d'un systeme d'equations differentielles ordinaires lineaires contenant un parametre Journal of the Faculty of Science, Univ. of Tokyo, I 7 1958 525-540 MR0096016 91 Cache/Si/Sibuya,differentielles,Journal*,1958,1959

17 Sibuya, Y. Asymptotic Solutions of a System of Linear Ordinary Differential Equations Containing a Parameter Funkcialaj Ekvacioj 4 1962 83-113 MR0141853 0141853 100 Cache/Si/Sibuya,Asymptotic,Funkcialaj*,1962,1963 18 Sibuya, Y. Simplification of a System of Linear Ordinary Differential Equations about a Singular Point 4 1962 29-56 MR0152719 0152719 100 Funkcialaj Ekvacioj Cache/Si/Sibuya,Simplification,*,1962,1963

19 Turrittin, H. L. Asymptotic Expansions of Solutions of Systems of Ordinary Linear Differential Equations Containing a Parameter Annals of Mathematics Study 29, Contributions to the Theory of Nonlinear Oscillations, Vol. II, Princeton University Press, Princeton, New Jersey 1952 81-116 MR0050754 Cache/Tu/Turrittin,Asymptotic,*,1952,1953

20 Turrittin, H. L.; Harris, Jr., W. A., Simplification of Systems of Linear Differential Equations Involving a Turning Point, Technical Report 2, DA-11-022-ORD-2042, Dept. of Mathematics, Institute of Technology, University of Minnesota, 1957

21 Turrittin, H. L.; Harris, Jr., W. A. Standardization and Simplification of Systems of Linear Differential Equations Involving a Turning Point Journal of the Society for Industrial and Applied Mathematics 7 316-324 1959 MR0107046 Cache/Tu/Turrittin,JrStandardization,Journal*,1959,1960

22 Wasow, W. The Asymptotic Theory of Linear Differential Equations Involving a Parameter Le Matematiche 11 1955 134-148 MR0076124 Cache/Wa/Wasow,Asymptotic,Le*,1955,1956

23 Wasow, W. Turning Point Problems for Systems of Linear Differential Equations, Part I : The Formal Theory Communications of Pure and Applied Mathematics 14 1961 657-673 MR0132248 Cache/Wa/Wasow,Equations,Part,Communications*,1961,1962

24 Wasow, W. Turning Point Problems for Systems of Linear Differential Equations, Part II, The Analytic Theory Communications of Pure and Applied Mathematics 15 1962 173-187 MR0146466 Cache/Wa/Wasow,Equations,Part,Communications*,1962,1963

25 Wasow, W. Simplification of Turning Point Problems for Systems of Linear Differential Equations Transactions of the American Mathematical Society 106 1963 100-114 MR0142836 100 Cache/Wa/Wasow,Simplification,Transactions*,1963,1964

26 Wasow, W., Lectures on Asymptotic Theory of Ordinary Differential Equations, Lecture Notes, Technion Israel Institute of Technology, Haifa, Israel, 1962