Publications of Darrell Schmidt


  • Asymptotic stability of a mechanical robotics model with damping and delay (with B. Cahlon), Journal of Mathematical Analysis and Applications 303(2005), 36-53.

  • Stability criteria for certain second-order delay differential equations with mixed coefficients (with B. Cahlon), Journal of Computational and Applied Mathematics 170(2004), 79-102.

  • Stability criteria for certain second order delay differential equaitons (with B. Cahlon), Dynamics of Discrete, Continuous and Impulsive Systems, Series A: Mathematical Analysis 10(2003), 593-621.

  • On stability of a first-order complex delay differential equation (with B. Cahlon), Nonlinear Analysis: Real World Applications 3(2002), 413-429.

  • On stability of systems of delay differential equations (with B. Cahlon), Journal of Computational and Applied Mathematics 117(2000), 137-158.

  • Oscillation in thermostat models (with B. Cahlon, M. Shillor, and X. Zou), Advances in Mathematical Sciences and Applications 9(1999), 25-49.

  • Eigenvalues of tridiagonal pseudo-Toeplitz matrices (with D. Kulkarni and S.-K. Tsui), Linear Algebra and its Applications 297(1999), 63-80.

  • An isotonic regression problem for infinite-dimensional parameters (with R. Khattree and I. E. Schochetman), Journal of Optimization Theory and Applications 103(1999), 359-384.

  • A note on general oscillation for delay differential equations (with B. Cahlon), Journal of Mathematical Analysis and Applications 238(1999), 591-598.

  • Generic oscillation for delay differential equations (with B. Cahlon), Journal of Mathematical Analysis and Applications 223(1998), 288-301.

  • Some extremal problems for multivariate polynomials on convex bodies (with A. Kroó), Journal of Approximation Theory 90(1997), 415-434.

  • A variational approach to optimizing linear functionals over Haar spaces (with A. Kroó), Annals of Numerical Mathematics 4(1997), 393-403.

  • Analysis of thermostat models (with B. Cahlon, M. Shillor, and X. Zou), European Journal of Applied Mathematics 8(1997), 437-455.

  • Stability criteria for certain delay integral equations of Volterra type (with B. Cahlon), Journal of Computational and Applied Mathematics 84(1997), 161-188.

  • Generalized strong unicity constants in linear uniform approximation (with C. Zhu and C. Dunham), International Journal of Computer Mathematics 62(1996), 73-87.

  • Numerical solutions of functional integral equations (with B. Cahlon), IMA Journal of Numerical Analysis 12(1992), 527-543.

  • On A-spaces and their relation to the Hobby-Rice theorem (with A. Kroó and M. Sommer), Journal of Approximation Theory 69(1992), 136-154.

  • A Haar-type theory of best L1-approximation with constraints (with A. Kroó), Transactions of the American Mathematical Society 331(1992), 301-319.

  • A Haar-type theory of best uniform approximation with constraints (with A. Kroó), Acta Mathematica Hungarica 58(3-4)(1991), 309-328.

  • Some properties of A-spaces and their relationship to L1-approximation (with A. Kroó and M. Sommer), Constructive Approximation 7(1991), 329-339.

  • Almost Chebyshev properties for L1-approximation of continuous functions, Journal of Approximation Theory 61(1990), 335-350.

  • Another case of nonexistence in rational Chebyshev approximation with interpolatory constraints, Journal of Approximation Theory 58(1989), 50-54.

  • The prevalence of strong unicity in L1 (with J. Angelos), Acta Mathematica Hungarica 52(1-2) (1988), 83-90.

  • A theorem on weighted L1-appriximation, Proceedings of the American Mathematical Society 101(1987), 81-84.

  • Numerical solution of Volterra integral equations with delay arguments (with B. Cahlon and L. J. Nachman), Journal of Integral Equations 7(1984), 191-208.

  • Lipschitz conditions, strong uniqueness, and almost Chebyshev subspaces of C(X) (with M. W. Bartelt), Journal of Approximation Theory 40(1984), 202-215.

  • Strong uniqueness in L1(X,Σ,μ), "Approximation Theory IV," Academic Press, New York, 1983, 297-302.

  • Some remarks on product approximations (with J. Angelos), "Multivariate Approximation II," W. Schempp and K. L. Zeller, editors, Birkhauser-Verlag, Basel, 1983, 27-35.

  • Piecewise polynomial approximate solutions of an automatic control problem (with B. Cahlon), IMA Journal on Numerical Analysis 2(1982), 1-19.

  • Uniform strong unicity for rational approximation (with M. S. Henry and J. J. Swetits), Journal of Approximation Theory 33(1981), 131-146.

  • On Poreda's problem on strong unicity constants (with M. W. Bartelt), Journal of Approximation Theory 33(1981), 69-79.

  • Error bounds for polynomial product approximation (with M. S. Henry), Journal of Approximation Theory 31(1981), 6-21.

  • On strong unicity and a conjecture of Henry and Roulier (with M. W. Bartelt), "Approximation Theory III," Academic Press, New York, 1980, 187-191.

  • A characterization of strong unicity constants, "Approximation Theory III," Academic Press, New York, 1980, 805-810.

  • Strong uniqueness for Chebyshev approximation by reciprocals of polynomials on [0,∞), Journal of Approximation Theory 30(1980), 277-283.

  • Strong unicity and Lipschitz conditions of order 1/2 for monotone approximation, Journal of Approximation Theory 27(1979), 346-152.

  • An existence theorem for Chebyshev approximation by interpolating rationals, Journal of Approximation Theory 27(1979), 146-152.

  • Minimax approximate solutions of linear boundary value problems (with K. L. Wiggins), Mathematics of Computation 33(1979), 193-198.

  • Numerical comparisons of algorithms for polynomial and rational multivariate approximation (with J. N. Henry and M. S. Henry), SIAM Journal on Numerical Analysis 15(1978), 1197-1207.

  • Continuity theorems for the rational product approximation operator (with M. S. Henry), Journal of Approximation Theory 19(1976),135-142.

  • On an unboundedness conjecture for strong unicity constants, Journal of Approximation Theory 24(1978), 216-223.

  • Continuity theorems for the product approximation operator (with M. S. Henry), "Theory of Approximation with Applications," A. G. Law and B. N. Sahney, editors, Academic Press, New York, 1976, 24-42.

  • Darrell Schmidt
    schmidt@oakland.edu
    December 27, 2002