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

**2. 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. **

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

**20. (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. **

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

**22. 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. **

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

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

**25. (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. **

**26. 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. **

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

**28. (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. **

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

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

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

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

**33. 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. **

**34. (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. **

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

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

**37. 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). **

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

**39. 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. **

**40. (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. **

**41. (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. **

**42. 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. **

**43. 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. **

**44. (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. **

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

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

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

**48. (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. **

**49. (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. **

**50. (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. **

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

**52. (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. **

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

**54. 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. **

**55. (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. **

**56. (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. **

**57. (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. **

**58. (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. **

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

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

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

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

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

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

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

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

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

**68. (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. **

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

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

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

**72. (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. **

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