Publications List of Harry Gingold





1. (With W.Fang) Solutions of a Nonlinear Boundary Value Problem with a Large Parameter, J.Math. Anal. Appl., Vol. 236, 1999, pp. 520-533.A Summability method due to linear differential equations, Proceedings of the Edinburgh Mathematical Society, Vol. 20, (1974), pp.41-51.

2.(With U.Elias) More on Asymptotic Approximation for Matrix Differential Equations, J. Math. Anal. Appl. Vol. 230, (1999), pp. 97-111.

3. Global and Uniform approximations for solutions of the Bessel equation, Dynamics of Continuous, Discrete and Impulsive Systems, Vol.5, (1999), pp. 405-414.

4.Flattening of ellipses by growing nonlinearities, J. Nonlinear Analysis, Vol. 35, (1999 ), pp.781-795.

5. (With Tovbis) Solutions of finitely smooth nonlinear singular differential equations and problems of diagonalization and triangularization. SIAM J.Math. Anal., Vol. 29 (1998), pp. 757-778.

6. (With V. Trutzer) Removing small divisors in the method of characteristics, Applicable Analysis, Vol. 66, (1997), pp. 333-356.

7. (With U. Elias) Asymptotic approximation for matrix differential equations and applications, Differential and Integral Equations, vol. 10, (1997), pp. 137-152.

8. (With D. Gera) Modified heat conduction model - part 2, Proc. 3rd KSME-JSME Thermal Engineering Conference, (1996), pp. 423 - 428, Kyongju Korea.

9. (With D. Gera) A new approach to model viscosity in the momentum equations, Proc. 74th JSME Fall Annual Meeting, (1996), pp. 229 - 232.

10. (With U. Elias) Oscillation and block diagonalization, J. Math. Anal. Appl., Vol. 199, (1996), pp. 202 - 212.

11. (With A. Knopfmacher) Analytic properties of power product expansions, Canadian J. of math., Vol. 47(6), (1995), pp. 1219 - 1239.

12. (With U. Elias) Oscillation of two-term differential equations through asymptotics, J. Math. Anal. & Appl., Vol. 186 (1994), pp. 283 -305.

13. (With D. Gera) A modified heat conduction model, Proc. of 30th National Heat Transfer Conference, 1995, Vol. 9. ASME 1995, HTD Vol. 311.

12. (With D. Gera) A modified heat conduction model, Chinese J. Mechanical Engineering, Vol.8, (1995), pp.175-186.

14. (With U. Elias) Oscillation of two term differential equations through asymptotics. Equa. Diff. Vol. 1, editors C. Perello, C. Simo, J. Sola-Morales, (1993), pp. 403 - 407. International Conference on Differential Equations held at Barcelona, Spain, August 1991.

15. (With D. Gera) A modified heat conduction model, preliminary analysis. Proceedings of the 71st JSME Spring Annual Meeting [No. 940-10], (1994), pp. 511 - 513.

16. (With P. Hsieh) Globally analytic decomposition of a matrix function. Trends and Developments in ODE's. Editors Y. Alavi and Po-Fang Hsieh, World Scientific, Singapore, (1994), pp. 113 - 121. Proceedings of the International Symposium held at Kalamazoo, Michigan, May 1993.

17. (With T. Hempleman) Distribution of real eigenvalues in Sturm-Liouville problems with infinitely many turning points. Trends and Developments in ODE's. Editors Y. Alavi and Po-Fang Hsieh, World Scientific, Singapore, (1994), pp. 113 - 121. Proceeding of the international symposium held at Kalamazoo, Michigan, May 1993.

18. A mechanism for connection. Trends and developments in ODE's. Editors Y. Alavi and Po-Fang Hsieh, World Scientific, Singapore, (1994), pp. 77 - 85. Proceedings of the International Symposium held at Kalamazoo, Michigan, May 1993.

19. (With P. Hsieh & Y. Sibuya) Globally analytic simplification and the Levinson theorem, J. Math. Anal. & Appl. Vol. 182(1994), pp. 269 - 286.

20. (With Yu Lihong) The local asymptotic behaviour of solutions of second order linear differential equations in a nutshell, J. of Math. Research & Exposition, Vol. 13(1993), pp. 337 - 350.

21. Approximation of solutions of y" = p(x, e)y with several transition points and moving singularities, Asymptotic Analysis, 6(1993), pp. 335 - 364.

22. (With J. She and W.E. Zorumski) Local principles of wave propagation in inhomogeneous media, J. Acoust. Soc. Am. 93(2), (1993), pp. 599 - 604.

23. (With a Knopfmacher and D.S. Lubinsky) The zero distribution of the partial products of power product expansions. Analysis, Vol. 13, (1993), pp. 133 - 157.

24. (With V. Trutzer) The large time pointwise behaviour of linear degenerate hyperbolic systems. In Partial Differential Equations. Editors J. Wiener and J. Hale. Pitman Research Notes in Mathematics Series. Longman Scientific and Technical, Essex, 1992.

25. (With Hsieh, P.F.) Globally Analytic Triangularization of a Matrix Function, Linear Algebra and its Applications, Vol. 169, (1992), pp.75-101.

26. Carlian Multisets and totally invertible matrices, Utilitas Mathematical Vol. 42, (1992), pp. 205 - 212.

27. (with She and Zorumski) "Reflection of sound waves by sound-speed inhomogeneities", J. Acoust. Soc. Am. 91, (1992), pp. 1262-1269.

28. (With Hu) Transcendentally small reflections of waves for problems with/without turning points near infinity: A new uniform approach", J. Math. Phys. 32, (1991), pp. 3278 - 3284.

29. Eventual summability at a singular point. Approximation, Interpolation, and summability. S. Baron and D. Leviatan editors. Israel Mathematical conference Proceedings, Vol. 4, (1991), pp. 135 - 145.

30. On totally invertible matrices and Carlian Sets. Graph Theory, Combinatorics, Algorithms, & applications, edited by Y. Alavi, F.R.K. Chung, R. L. Graham, S.O.F. Hsu, SIAM Proceedings Series, (1991), pp. 190 - 197.

31. (With P. Hsieh) Note on an algorithm for globally analytic triangularization of a matrix function. Graph Theory, Combinatorics, Algorithms, & Applications, edited by Y. Alavi, F.R.K. Chung, R. L. Graham, S.O.F. Hsu, SIAM Proceedings, (1991), pp. 239 - 253.

32. (With P. Hsieh) Globally analytic triangularization of a matrix function - an algorithm, Proc. Asian Math. Conference, 91990), pp. 149 - 154. World Scientific, Singapore. Editors, Li Zhong, P. K. Shum, C.C. Yang, Yang Le.

33. A resolution to the inconclusive portion of Kneser's test of oscillation via asymptotic, Proc. Asian Math. Conf., (1990), pp. 144 - 148. World Scientific, Singapore. Editors, Li Zhong, K. P. Shum, C. c. Yang, Yang Le.

34. A counterexample and a modification to the adiabatic approximation theorem in quantum mechanics. International J. of Quantum Chemistry, Vol. XL, (1991), pp. 3 - 9.

35. A virtual perturbation method for singular systems, IEEE, Ch2917 (1990), pp. 3607 - 3610. (Proceedings of the 29thConference on Decision and Control, Honolulu, Hawaii, December 1990).

36. A note on reduction of operations via power product approximations, Utilitas Mathematica, 37(1990), pp. 79 - 90.

37. (With V. Trutzer) On resonance in linear conservation laws without source terms, Utilitas Mathematica, 37(1990), pp. 65 - 78.

38. (With P. Hsieh) On asymptotic solutions of a Hamiltonian system with several turning points, Differential Equations & Applications, Proceeding of the International Conference on Theory and Applications of Differential Equations. Edited by A. R. Aftabizadeh, (1988), Vol. 1, pp. 315 - 319.

39. On asymptotic and oscillation of second order linear ordinary differential equations, Differential Equations & Applications, Proceedings of the International Conference on Theory and Applications of Differential Equations. Edited by A. R. Aftabizadeh, (1988), Vol. 1, pp. 310-314.

40. (With H. Gould and M. Mays) Power product expansions, Utilitas Mathematica, Vol. 34, (1988), pp. 143 - 161.

41. (With P. Hsieh) (With P. Hsieh) Asymptotic solution of a Hamiltonian system with several turning points, SIAM J. Math. Anal. Vol.19, (1988), pp. 1142 - 1150.

42. An invariant asymptotic formula for solutions of second order linear ODE's. J. Asymp. Anal. Vol. 1, (1988), pp. 309 - 325.

43. On a family of nonoscillatory equations y '' = f(x,e)y. J. Math. Anal. Appl. Vol. 135(1988), pp. 309 -325.

44. (With P. Hsieh) A global study of Hamiltonian system with multi-turning points. Lecture Notes in Mathematics, Springer-Verlag, Berlin, Vol. 1151 (1985), pp. 164-171.

45. (With P. Hsieh) A global study of singularly perturbed almost diagonal systems, Ann. Diff. Eq. 2, (1986), pp. 383 - 398.

46. In general, the less degeneracy the less transition. A principle for time dependent Hamiltonian systems in quantum mechanics, J. Math. Physics. Vol. 28(1987), pp. 2400 - 2406.

47. (With P. Hsieh) Global approximation of perturbed Hamiltonian differential equations with several turning points, SIAM J. Math, Anal. Appl., Vol. 18, (1987), pp. 1275 - 1293.

48. Conformal maps in methods of asymptotic continuation, Proceedings of the Royal Society of Edinburgh, 105A, (1987), pp. 319 - 335.

49. On the relation between globality and linearity of solutions of analytic ODE's, J. Math. Res. & Exposition, 4, (1987), pp. 611 - 614.

50. Boundedly asymptotic decompositions on an entire interval for second order linear differential equations with multi- coalescing transition points, Ann. Diff. Eqs. 3(4), (1987), pp. 381 - 402.

51. (With G. B. Gustafson) Uniqueness for n-th order De-La-Vallee Poussin boundary value problems, Applicable Anal., Vol. 20 (1985), pp. 201 -220.

52. (With P. Hsieh) Note on global simplification of a singularly perturbed linear ordinary differential system, Tamsui Oxford Journal of Management Science, Vol. 1(1985), pp. 39 - 45.

53. Almost diagonal systems in asymptotic integration, Proceedings of the Edinburgh Mathematical Society, Vol. 28, (1985), pp. 143 - 158.

54. (With P. Hsieh), Global simplification of a singularly perturbed almost diagonal system, SIAM J. Math. Anal., 17, (1986), pp. 1-22.

55. On the location of zeros of oscillatory solutions of y (x) = c(x)y, Pacific J. Math., Vol.119, (1985), pp. 317-336.

56. An asymptotic decomposition method applied to multi-turning point problems, SIAM J. Math., Anal., Vol. 15, (1985), pp. 7 - 27.

57. (With P. Hsieh) On global simplification of a singularly perturbed system of linear ordinary differential equations, Funkc. Ekavac., Vol. 25, (1982), pp. 269 - 281.

58. On the location of zeros of oscillatory solutions, Trans. Amer. Math. Soc., Vol. 279, (1983), pp. 471-496.

59. Problems of Mathematical physics which depend on a parameter and Jacobi Series, Adv. Appl. Math.,Vol. 5, (1984), pp. 1 - 67.

60. A new basis for singularly perturbed problems, a representation theorem, Adv. Appl. Math., (1980), Vol. 1, pp. 67 - 107.

61. Uniqueness of boundary value problems of second order differential systems and equations, J. Math. Anal. Appl., Vol. 73, No.2, (1980), pp.392-410.

62. On continuous triangularization of matrix valued functions, SIAM J. Math. Anal., Vol. 10, No.4, (1979), pp. 709- 719.

63. Uniqueness of solutions to boundary value problems of systems of ordinary differential equations, Pacific J. Math., Vol. 75, (1978), pp. 107-136.

64. On the global existence of a simplifying transforming matrix, Siam J. Math., Vol.9, (1978), pp.1076-1082.

65. (With R. Redheffer) The Existence of limits for solutions of singular differential inequalities, Math. Monthly, Vol.84, No. 4, (1977), pp. 270-273.

66. (With S. R. Rosenblat) Differential equations with moving singularities, SIAM, J. of Math. Anal., Vol. 7, No.6, (1976), pp. 942-957.

67. Introduction to differential equations with moving singularities, Rocky Mountain Journal of Mathematics Vol. 6, No.4, (1976), pp. 571-574.

68. Dichotomies and moving singularities simplification of linear systems, Rendiconti Circolo Matermatico-di-Palermo, TOMO XXIX, (1980), pp.61-78.

69. Simplification of linear homogeneous differential equations with moving singularities, Fukcialaj Ekvacioj, Vol. 19, No. 3, (1976), pp. 203-225.

70. On matrix methods preserving summability. Periodica Mathematical Hungaria Vol. 7(1), (1976), pp. 49-57.

71. A necessary condition for a power series to be a formal solution of a singular linear differential equation of order k, Journal of Mathematical Analysis and Applications, Vol.. 52, (1975), pp. 546-552.

72. A Summability method due to linear differential equations, Proceedings of the Edinburgh Mathematical Society, Vol. 20, (1974), pp.41-51.



Back to My Homepage


Hoifung Poon & Yongbin Ou
Sun Dec 05 21:02:06 EST 1999