Publications

1. Z. Ding and G. Chen, Mathematical Analysis of the Effective Energy Potential of
the Helium Atom from Quantum Number D-Scaling, submitted.

2. G. Chen, Z. Ding, A. Perronnet and Z. Zhang, Visualization and dimensional scaling
for some three-body problems in atomic and molecular quantum mechanics, submitted.

3. G. Chen, Z. Ding, A. Perronnet, M. O. Scully, R. Xie and Z. Zhang, Some
fundamental mathematical properties in atomic and molecular quantum mechanics,
to appear in to “High dimensional PDEs in science and engineering”, edited by
A. Bandrauk, M. C. Delfour and C. Le Bris, Amer. Math. Soc., Providence, RI.

4. G. Chen, Z. Ding, S. B. Hsu, M. Kim and J. Zhou, Mathematical Analysis of
the Bohr Atom Model, J. Math. Phys., 47, 022107 (2006), 23 pages.

5. Z. Ding, G. Chen and S. Li, On positive solutions of the Elliptic sine-Gordon
   equation, Comm. Pure Appl., 4(2005), pp. 283-294.
6. G. Chen, Z. Ding, C. R. Hu, W. M. Ni and J. Zhou, A note on the elliptic sine-
   Gordon equation, Contemporary Mathematics, 357(2004), pp. 49-67.
7. Z. Ding, Traveling waves in a suspension bridge system, SIAM J. Math. Anal.,
   35(2003), pp. 160-171.
8. Z. Ding, Multiple periodic oscillations in a suspension bridge system, J. Math.
   Anal. Appl., 269(2002), pp. 726-746.
9. Z. Ding, Nonlinear periodic oscillations in a suspension bridge system under
   periodic external aerodynamic forces, Nonlinear Analysis, 49(2002),
   pp. 1079-1097.
10. Z. Ding,   On nonlinear oscillations in a suspension bridge system, Trans. Amer.
    Math. Soc., 354(2002), pp. 265-274.
11. Z. Ding, Optimal boundary controls of linear elastostatics on Lipschitz domains
    with point observations, to appear in  J. Dynamical  Control  Systems,
    7(2001), pp. 181-207.
12. D. Costa, Z. Ding, J. Neuberger,  A Numerical investigation of sign-changing
    solutions to superlinear elliptic equations on symmetric domains,  J. Comp.
    Appl. Math., 131(2001), pp. 299-319.
13. Z. Ding, Nonlinear periodic oscillations in suspension bridges, in
    Control of nonlinear distributed systems, edited by G. Chen,
    I. Lasiecka and J. Zhou, Marcel Dekker, 2001, pp. 69-84.
14. Z. Ding and D. Lagoudas, Transient heat transfer behavior of one-dimensional
    symmetric thermoelectric SMA actuators, Math. Comput. Modelling,
    29(1999), pp. 33-55.
15. Z. Ding, D. Costa and G. Chen, A high-linking algorithm for sign-changing
    solutions of semilinear elliptic equations, to appear in Nonlinear Analsis,
    38(1999), pp. 151-172.
16. P. You, Z. Ding and J. Zhou, Optimal boundary control of the Stokes fluids with
    point observations, SIAM J. Control Optim., 36(1998), pp. 981-1004.
17. G. Chen, M. P. Coleman and Z. Ding, Some corner effects on the loss of
    selfadjointness and non-excitation of vibration for thin plates and shells,
    Quart. J. Mech. Appl. Math.,51(1998), pp. 213-239.
18. Z. Ding and D. Lagoudas, A domain transformation technique in oxygen
    diffusion problems with moving oxidation fronts on unbounded domains,
    Internat. J. Numer. Methods Engrg.,42(1998), pp. 361-384.
19. D. Lagoudas and Z. Ding, Numerical computation of metal oxidation problems
    on bounded domains, Internat. J. Engrg. Sci., 36(1998), pp. 367-381.
20. Z. Ding and D. Lagoudas, Solution behavior of the transient heat transfer
    problem in thermoelectric shape memory alloy actuators, SIAM J. Appl. Math.,
    57(1997), pp. 34-52.
21. Z. Ding and J. Zhou, Constrained LQR problems in elliptic distributed control
    systems with point observations -- Convergence results, Appl. Math. Optim.,
    36(1997), pp. 173-201.
22. Z. Ding, L. Ji and J. Zhou, Constrained LQR problems in elliptical distributed
    control systems with point observations, SIAM J. Control Optim., 34(1996),
    pp. 264-294.
23. Z. Ding, A proof of the trace theorem of Sobolev spaces on Lipschitz
    domains, Proc. Amer. Math. Soc., 124(1996), pp. 591-600.
24. Z. Ding and J. Zhou, Constrained LQR problems governed by the potential
    equation on Lipschitz domains with point observations,
    J. Math. Pures Appl., 74(1995), pp. 317-344.
25. D. Lagoudas and Z. Ding, Modeling of thermoelectric heat transfer in shape
    memory alloy actuators: transient and multiple cycle solutions,
    Internat. J. Engrg. Sci., 33(1995), pp. 2345-2364.
26. D. Feng, B. Chen and Z. Ding, Control problem of flexible robot, in
    Decision Making Models for Management and Manufacturing,
    ed. by R. Kulikowski and J. Stefanski, Omnitech Press, Warsaw, 1990,
    pp. 175-185.
27. D. Feng and Z. Ding, Pole assignment of distributed parameter system,
    Proceedings of the 11th IFAC World Congress, Vol. 3, 1990, pp. 459-464.
28. Z. Ding and D. Feng, Exact controllability of a class of distributed parameter
    systems, Systems Sci. Math. Sci., 2(1989), 257-267.
29. D. Feng and Z. Ding, Distributed control approximation of pointwise control,
    Distributed parameter systems: modeling and simulation, ed. by
    T. Futagami, S. G. Tzafestas and T. Sunahara, Elesvier Science Pub.,
    New York, 1989, pp. 849-859.
30. D. Feng and Z. Ding, A function space relative to boundary observation
    (in Chinese), J. Systems Sci. Math. Sci., 9(1989), pp. 97-105.
31. D. Feng and Z. Ding, Approximation of parabolic pointwise control systems
    (in Chinese), J. Systems Sci. Math. Sci., 9(1989), pp. 364-369.
32. D. Feng and Z. Ding, Distributed control approximation of pointwise control
    for hyperbolic systems, Analysis and Optimization of Systems, ed. by
    A. Bensoussan and J. L. Lions, Springer, 1988, pp. 531-542.
33. D. Feng and Z. Ding, The approximation problem for hyperbolic pointwise
    control systems, Systems Sci. Math. Sci., 1(1988), pp. 47-56.

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Ding's Home Page * Department of Mathematical Sciences * UNLV