Publications

Research Monograph

  1. {\em Oscillation Theory for Functional Differential Equations}, Pure and Applied Mathematics: A Series of Monograghs and Textbooks, Marcel Dekker, Inc., 1995. (with L. Erbe and B. G. Zhang)

Published Research Papers

  1. Limits of Sturm-Liouville eigenvalues when the interval shrinks to an end point, {\em Proc. Roy. Soc. Edinburgh Sect. A}. {\bf 138} (2008), 323-338. (with H. Wu and A. Zettl)
  2. Right-indefinite half-linear Sturm-Liouville problems, {\em Computers and Mathematics and Applications}, {\bf 55} (2008), 2554-2564. (with L. Kong)
  3. Geometric aspects of Sturm--Liouville problems III. Level surfaces of the nth eigenvalue, {\em Journal of Computational and Applied Math.}, {\bf 208} (2007), 176-193. (with X. Cao, H. Wu, and A. Zettl)
  4. Existence and nonexistence of solutions of second-order nonlinear boundary value problems, {\em Nonlinear Analysis}, {\bf 66} (2007), 2635-2651.
  5. Nonoscillation and oscillation of second order half-linear differential equations, {\em J. Math. Anal. Appl.}, {\bf 332} (2007), 512-522.
  6. Right-definite half-linear Sturm-Liouville problems, {\em Proc. Roy. Soc. Edinburgh Sect. A}, {\bf 137} (2007), 77-92. (with L. Kong)
  7. Second-order Boundary Value Problems with Nonhomogeneous Boundary Conditions (II), {\em J. Math. Anal. Appl.}, {\bf 330} (2007), 1393-1411. (with L. Kong)
  8. Symmetric positive solutions of nonlinear boundary value problems, {\em J. Math. Anal. Appl.}, {\bf 326} (2007), 1310-1327. (with J. R. Graef, L. Kong)
  9. Multi-point boundary value problems with nonhomogeneous boundary conditions (II), {\em Communications on Applied Nonlinear Analysis}, {\bf 14} (2007), 93-111. (with L. Kong)
  10. A telescoping principle for oscillation of second order differential equations on a time scale, {\em Rocky Mountain J. Math.}, {\bf 36} (2006), 149-181. (with L. Erbe and L. Kong)
  11. New Kamenev-type oscillation criteria for second-order differential equations on a measure chain, {\em Computers and Mathematics and Applications}, {\bf 60} (2005), 1211-1230. (with A. Del Medico)
  12. Positive solutions of higher order boundary value problems, {\em Proc. Edinburgh Math. Soc.}, {\bf 48} (2005), 445-464. (with L. Kong)
  13. Second-order boundary value problems with nonhomogeneous boundary conditions, {\em Math. Nach.}, {\bf 278}(2005), 173-193. (with L. Kong)
  14. A class of nonlinear boundary value problems of second-order ordinary differential equations, Proceeding of Dynamic Systems and Applications {\bf 4}(2004), 465-471. (with L. Kong)
  15. Singular left-definite Sturm-Liouville problems, {\em J. Differential Equations}, {\bf 206}(2004), 1-29. (with H. Wu and A. Zettl)
  16. Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints, {\em Results in Math.}, {\bf 45}(2004), 274-292. (with L. Kong, H. Wu, and A. Zettl)
  17. Multi-point boundary value problems with nonhomogeneous boundary conditions, {\em Nonlinear Analysis}, {\bf 58}(2004), 909-931. (with L. Kong)
  18. Multiplicity of Sturm-Liouville eigenvalues, {\em J. Computational and Applied Math.}, {\bf 171}(2004), 291-309. (with H. Wu, and A. Zettl)
  19. Kamenev-Type and Interval Oscillation Criteria for Second-Order Linear Differential Equations on a Measure Chain, {\em J. Math. Anal. Appl.}, {\bf 294}(2004), 621-643. (with A. Del Medico)
  20. Geometric aspects of Sturm-Liouville problems, II. Space of boundary conditions for left-definiteness, {\em Trans. Amer. Math. Soc.}, {\bf 356} (2004), 135-157. (with K. Haertz, H. Wu, and A. Zettl)
  21. Indefinite Sturm-Liouville problems, {\em Proc. Roy. Soc. Edinburgh Sect. A}, {\bf 133}(2003), 639-652. (with M. Moller, H. Wu, and A. Zettl)
  22. Sturm-Liouville problems whose leading coefficient function changes sign, {\em Canadian J. Math}, {\bf 55}(2003), 724-749. (with X. Cao, H. Wu, and A. Zettl)
  23. Eigenvalue problems in fuel cell dynamics, {\em Proc. R. Soc. Lond. Sect. A}, {\bf 459}(2003), 241-261. (with P. B. Bailey, J. Billingham, R. J. Cooper, W. N. Everitt, A. C. King, H. Wu, and A. Zettl)
  24. Positive solutions of boundary value problems for functional differential equations, {\em Dynamics of Continuous, Discrete and Impulsive systems}, {\bf 10}(2003), 103-116. (with L. Kong)
  25. Positive solutions of nonlinear $m$-point boundary value problems on a measure chain, {\em J. Difference Eqns. Appl.}, {\bf 9}(2003), 121-133. (with L. Kong)
  26. Even order nonlinear eigenvalue problems on a measure chain, {Nonlinear Analysis: Series A Theory and Methods}, {\bf 52}(2003), 1891-1909. (with L. Kong)
  27. Multiplicities of eigenvalues of a vector-valued Sturm-Liouville problem, {\em Mathematika}, {\bf 49}(2002), 119-127.
  28. Nonoscillation of a class of neutral differential equations, {\em Computers and Mathematics with Applications}, {\bf 44}(2002), 643-654. (with Y. Sun and B. G. Zhang)
  29. Positive solutions of boundary value problems for third-order functional difference equations, {\em Computers and Mathematics with Applications}, {\bf 44}(2002), 481-489. (with L. Kong and B. G. Zhang)
  30. Left-definite Sturm-Liouville problems, {\em J. Differential Equations}, {\bf 177}(2001), 1-26. (with H. Wu and A. Zettl)
  31. Sturm-Liouville problems with finite spectrum, {\em J. Math. Anal. Appl.}, {\bf 263}(2001), 748-762. (with H. wu and A. Zettl)
  32. The derivative of the matrix exponential function, {\em Cubo Mathem\'atica Educacional}, {\bf 3}(2001), 121-124. (with A. Zettl)
  33. Stability of nonlinear ordinary differential systems, {\em Proc. of International Conference on Differential Equations and Computational simulations}, Chengdu, China, 1999, Edited by P. W. Bates, K. Lu, and D. Xu, World Scientific, Singapore, New Jersey, London, Hong Kong, 149-159, 2001.
  34. Oscillation of second order matrix differential equations, {\em Differential Equations and Dynamical Systems}, {\bf 8}(2000), 99-110.
  35. Geometric aspects of Sturm-Liouville problems, I. Structures on spaces of boundary conditions, {\em Proc. Roy. Soc. Edinburgh Sect. A}, {\bf 130}(2000), 561-589. (with H. Wu and A. Zettl)
  36. A new proof of the inequalities among Sturm-Liouville eigenvalues, {\em PanAmerican Mathematical Journal}, {\bf 10}(2000), 1-11. (with Q. Lin, H. Wu, A. Zettl)
  37. Oscillation of solutions of nonlinear parabolic differential-difference equations in noncylindrical domains, {\em Indian J. Pure Applied Math.}, {\bf 30}(1999), 1173-1180. (with D. Bainov and E. Minchev)
  38. Inequalities among eigenvalues of singular Sturm-Liouville problems,{\em Dynamic Systems Appl.}, {\bf 8}(1999), 517-531. (with H. Wu and A. Zettl)
  39. Dependence of the $n$-th Sturm-Liouville eigenvalue on the problem, {\em J. Differential Equations}, {\bf 156}(1999), 328-356. (with H. Wu and A. Zettl)
  40. Inequalities among eigenvalues of Sturm-Liouville problems, {\em J. Inequalities and Applications}, {\bf 3}(1999), 25-43. (with M. Eastham, H. Wu, and A. Zettl)
  41. Oscillation criteria for second order half-linear differential equations, {\em Proc. International Conf. on Diff. Equations with Applications to Biology}, Fields Institute Communications by AMS, {\bf 21}(1999), 317-323.
  42. Interval criteria for oscillation of second order linear ordinary differential equations, {\em J. Math. Anal. Appl.}, {\bf 229}(1999), 258-270.
  43. Oscillation results for linear differential systems of second order, {\em Canadian Applied Mathematics Quarterly}, {\bf 6}(1998), 157-172.
  44. Dependence of eigenvalues on the problem, {\em Mathematische Nachrichten}, {\bf 188}(1997), 173-201. (with H. Wu and A. Zettl)
  45. Some necessary and sufficient conditions for oscillation of neutral differential equations, {\em Applicable Analysis}, {\bf 60}(1996), 133-148. (with L. Erbe)
  46. Eigenvalues of regular Sturm-Liouville problems, {\em J. Differential Equations}, {\bf 131}(1996), 1-19. (with A. Zettl)
  47. Dependence of eigenvalues of Sturm-Liouville problems on the boundary, {\em J. Differential Equations}, {\bf 126}(1996), 389-407. (with A. Zettl)
  48. Asymptotic behavior of nonlinear neutral differential equations, {\em Proc. First World Congress of Nonlinear Analists}, Tampa, Florida, Edited by V. Lakshmikantham, Walter de Gruyter, Berlin, New York, 1996, 1483-1495.
  49. Oscillation for systems of functional differential equations, {\em J. Math. Anal. Appl.}, {\bf 198}(1996), 608-619.
  50. Asymptotic behavior of retarded integro-differential equations, {\em J. Jianghan University}, {\bf 12}(1996), 51-55. (with Y. Ding) (in Chinese)
  51. Oscillatory and asymptotic behavior of a discrete logistic model, {\em Rocky Mountain J. Math.}, {\bf 25}(1995), No. 1, 339-349.
  52. Oscillation of second order nonlinear difference equations, {\em J. Difference Equations and Applications}, {\bf 1}(1995), 271-289.
  53. On the oscillation of differential equations with oscillatory coefficients, {\em Transactions of Amer. Math. Soc.}, {\bf 347}(1995), 1831-1839. (with B. J. Harris)
  54. Dissipation, boundedness and persistence of general ecological systems, {\em Nonlinear Analysis -TMA}, {\bf 25}1995,1237-1250. (with X. Liao)
  55. Interval oscillation conditions for difference equations, {\em SIAM J. Math. Anal.}, {\bf 26}(1995), 1047-1060. (with A.Zettl)
  56. Oscillation results on linear systems of difference equations, {\em Proc. Amer. Math. Soc.}, {\bf 123}(1995), 3057-3065.
  57. Boundary value problems for singular second order functional differential equations, {\em J. Computational and Applied Math.}, {\bf 53}(1994), 377-388. (with L.H.Erbe)
  58. Linear ordinary differential equations, {\em Inequalities and Applications of WSSIAA}, {\bf 3}(1994), 381-397, World Scientific Publishing Company. (with A. Zettl)
  59. Oscillation and nonoscillation properties of neutral differential equations, {\em Canadian J. Math}, {\bf 46}(1994), 284-297. (with L. H. Erbe)
  60. Explicit conditions for oscillation of solutions to neutral differential systems, {\em Hiroshima Math. J.}, {\bf 24}(1994), 317-329. (with L. H. Erbe)
  61. Oscillation of a forced second order nonlinear equation, {\em Chin. Ann. of Math.}, {\bf 15B: 1}(1994), 59-68. (with B. G. Zhang)
  62. Single species models with monotonic and oscillating carrying capacities, {\em Far-East J. Math. Sciences}, {\bf 1}(1993), 35-43. (with H. I. Freedman)
  63. Oscillations in delay differential systems, {\em Diff. Integral Equations}, {\bf 6}(1993), 1325-1336. (with H. I. Freedman)
  64. Oscillation of partial differential equations with deviating argument, {\em Utilitus Math.}, {\bf 43}(1993), 129-139. (with L. H. Erbe and B. G. Zhang)
  65. Kamenev type theorems for second order matrix differential systems, {\em Proc. Amer. Math. Soc.}, {\bf 117}(1993), 957-962. (with L. H. Erbe and S. Ruan)
  66. Oscillation results for second order neutral differential equations, {\em Funkcialaj Ekvacioj (Serio Internacia)}, {\bf 35}(1992), 545-555. (with L. H. Erbe)
  67. Asymptotic behavior of a class of delay differential equations of nth order, {\it J. Ocean Univ. of Qingdao, } {\bf 22}(1992), 145-158.
  68. High Dimensional Gronwall-Bihari type inequalities involving improper integals, {\em Ann. Differential Equations.}, {\bf {7}}(1991), 171-180. (with B. G. Zhang)
  69. Stieltjes integal inequalities of Gronwall type and applications, {\em Ann. Mat. Pura. Appl.}, {\bf {CLVII}}(1990), 77-97. (with L. H. Erbe)
  70. On Olech-Opial-Wazewaski oscillation criteria for second order nonlinear equations {\em Nonlinear Analisis-TMA}, {\bf {14}}(1990), 379-391. (with L. H. Erbe)
  71. Oscillatory behavior of solutions of first order nonlinear functional differential equations, {\em J. Ocean Univ. of Qingdao}, {\bf {20}}(1990), 123-137.
  72. Some Generalizations of Gronwall- Bihari integral inequalities and their applications, {\em Chin. Ann. of Math.}, {\bf {10B}}(1989), 371-385. (with B.G.Zhang)
  73. Asymptotic behavior of a class of nonlinear differential equations of {\em n}th order, {\em Proc. Amer. Math. Soc.}, {\bf {103}}(1988), 831-838.
  74. Oscillation of Volterra-Stieltjes equations, {\em Differential Equations and Applications}, Vol. {\bf I} (Columbus, OH, 1988), 249-256, Ohio University Press, Athens, OH. (with L. H. Erbe)
  75. Some generalization of Gronwall-Bihari integral inequalities, {\em Kexue Tongbao}(Chinese edition), {\bf {32}}(1987), 396-397; and {\em Kexue Tongbao} (English edition), {\bf {32}}(1987),1364-1365. (with B. G. Zhang)
  76. Distinction problems of a class of competitive systems of almost periodic coeffecients, {\em J. Shandong College of Oceanology}, {\bf {17}}(1987) 160-167. (in Chinese)
  77. A discussion of asymptotic behavior of solutions of a class of second order differential equations, {\em J. Shandong College of Oceanology}, {\bf {13}}(1983),89-100. (in Chinese)


Research Papers Accepted for Publication

  1. Kamenev-type oscillation criteria for second-order matrix dynamic equations on time scales, {\em Dynamic Systems and Applications}. (with Q.-R. Wang and Z. Q. Zhu)
  2. Use time scales to study impulsive functional differential equations, {\em Dyn. Contin. Discrete Impuls. Syst. Ser. A}.
  3. Matrix representations of Sturm-Liouville problems with finite spectrum, {\em Results in Mathematics}. (with H. Volkmer and A. Zettl)
  4. Nodal solutions of second order nonlinear boundary value problems, {\em Math. Proc. Camb. Phil. Soc.}, (with L. Kong)
  5. Sturm-Liouville problems on time scales with separated boundary conditions, {\em Results in Mathematics}.
  6. Periodic solutions of impulsive neutral dynamic equations on time scales, {\em Dynamic Systems and Applications}. (with D. Piao)
  7. Oscillation of a forced second order differential equations with a deviating argument, {\em Functional Differential Equations}. (with J. S. W. Wong)