Julio G. Dix Professor of Mathematics Office: Math/CS 583 Phone: 512-245-3441 Fax: 512-245-3425 Email: julio@txstate.edu

Research Interests: Delay differential equations, Numerical analysis, Integral Equations.

Professor Dix received his Ph.D. from University of Cincinnati in 1984. Currently, he studies delay differential equations: Oscillation and asymptotic behavior of solutions. He also studies hyperbolic equations in non-cylindrical domains: Solutions to Krichhof-Carrier equations that include non-linear terms and takes into account strings with moving ends.

As a library liaison person, I welcome suggestions for materials that the Alkek library should buy. Please send me the title, author, publisher, ISBN, etc., and I will forward your request to the librarian.

As a Co-Managing editor of the Electronic Journal of Differential Equations, I encourage you to visit the EJDE web page, and to send comments and suggestions.

Selected Publications

• J. G. Dix, C. A. Terrero-Escalante; Stability of solutions to damped equations with negative stiffness}, Accepted for publication in the International Journal of Pure and Applied Mathematics, Vol. 48, No. 3 (2008), 301-314.
• J. G. Dix N. Misra, L. Padhyy, R. Rath; Oscillatory and asymptotic behaviour of a neutral differential equation with oscillating coefficients}, E. Journal of Qualitative Theory of Differential Equations, Volume 2008 (2008), No. 19, pp. 1-10.
• S. Padhi, J. G. Dix; Oscillation of functional differential equations of n-th order with distributed deviating arguments}, Journal of Contemporary Mathematics, Vol. 1 (2008), pp. 11-24.
• R. N. Rath, J. G. Dix, B. L. S. Barik, and B. Dihudi. Necessary Conditions for the Solutions of Second Order Non-linear Neutral Delay Difference Equations to Be Oscillatory or Tend to Zero}, International Journal of Mathematics and Mathematical Sciences Volume 2007 (2007), Article ID 60907, 16 pages.
• J. G. Dix, C. G. Philos and I. K. Purnaras. Asymptotic properties of solutions to linear non-autonomous neutral differential equations, Journal of Mathematical Analysis and Applications. Vol. 318 (2006) no. 1, pages 296-304.
• J. G. Dix, C. G. Philos and I. K. Purnaras. An asymptotic property of solutions to linear nonautonomous delay differential equations, Electron. J. Diff. Equations, Vol. 2005(2005), No. 10, pp. 1-9.
• J. G. Dix. Asymptotic behavior of solutions to a first-order differential equation with variable delays, Computers and Mathematics with Applications, Vol. 50 (2005), 1791-1800.
• David Lippmann, J. G. Dix. Possible mechanism for large enantiomeric excess, Progress in Biological Chirality, (Palyi, Zucchi & Caglioti Editors), Elsevier, Oxford (GB), 2004, pp. 173, 179.
• J. G. Dix, David Lippmann. Possible mechanism for spontaneous production of enantiomeric Excess}, Advances in BioChirality, (Palyi, Zucchi & Caglioti Editors), Elsevier Science S.A., 1999, pp. 85--98.
• E. Bourgeois, P, Cohen, J. G. Dix, C. Natesan. Faculty-determined allocation-formula at Southwest Texas State University}, Collection Management, Vol. 23(1-2) 1998, pp. 113-123.
• J. G. Dix. Infinite frequency solutions to discontinuous control systems with variable delay. Israel J. Math., 106:165--176, 1998.
• J. G. Dix. Decay of solutions of a degenerate hyperbolic equation. Electron. J. Differential Equations, 21:No. 21, 10 pp. (electronic), 1998.
• J. G. Dix. Behavior of solutions to an integral equation in one-dimensional packing problems. Math. Japon., 42(1):113--120, 1995.
• J. G. Dix. Local solution for a degenerate hyperbolic equation with memory. Nonlinear Anal., 23(2):225--237, 1994.
• J. G. Dix and R. D. Ogden. An interpolation scheme with radial basis in Sobolev spaces ${H}\sp s({\bf {r}}\sp n)$. Rocky Mountain J. Math., 24(4):1319--1337, 1994.
• J. G. Dix and R. M. Torrejon. A quasilinear integrodifferential equation of hyperbolic type. Differential Integral Equations, 6(2):431--447, 1993.
• J. G. Dix and T. W. McCabe. On finding equilibria for isotropic hyperelastic materials. Nonlinear Anal., 15(5):437--444, 1990.
• J. Guacaneme. A parameter choice for simplified regularization. Rostock. Math. Kolloq., (42):59--68, 1990.
• J. Guacaneme. On simplified Tikhonov regularization. J. Optim. Theory Appl., 58(1):133--138, 1988.
• J. Guacaneme and R. D. Ogden. On condition numbers and convergence of the alternating projections method.  Houston J. Math., 14(2):209--217, 1988.
• J. Guacaneme. On optimal convergence for regularized Tikhonov approximations. J. Optim. Theory Appl., 58(1):127--131, 1988.
• J. Guacaneme. An optimal parameter choice for regularized ill-posed problems. Integral Equations Operator Theory, 11(4):610--613, 1988.
• C. W. Groetsch and J. Guacaneme. Arcangeli's method for Fredholm equations of the first kind. Proc. Amer. Math. Soc., 99(2):256--260, 1987.
• J. Guacaneme. Finite-dimensional simplified regularization. Rostock. Math. Kolloq., (30):113--120, 1986.
• C. W. Groetsch and J. Guacaneme. Regularized Ritz approximations for Fredholm equations of the first kind. Rocky Mountain J. Math., 15(1):33--37, 1985.
• J. Guacaneme. Weak approximation of minimal norm solutions of first kind equations by Tikhonov's method. Rev. Colombiana Mat., 19(3-4):263--276, 1985.