Publications
Research publications in mathematics and articles published in mathematics education by Timothy Peil.
Page setup by Timothy Peil, Minnesota State University Moorhead.

My Erds number is less than or equal to 5. (Proof is at the bottom of this page.)

Mathematics

  Disconjugacy of second order linear difference equations, Differential Equations: Stability and Control, Marcel Dekker, Inc., (1991), pp. 409–414.
 
Disconjugacy for nth order linear difference equations, Journal of Mathematical Analysis and Applications 160 (1991), pp. 132–148.

Criteria for right disfocality of an nth order linear difference equation, Rocky Mountain Journal of Mathematics 22 (1992), pp. 1523–1543.

With Allan Peterson of the University of Nebraska, Criteria for C-disfocality of a self-adjoint vector difference equation, Journal of Mathematical Analysis and Applications 179 (1993), pp. 512–524.

With Allan Peterson of the University of Nebraska, A theorem of Milloux for difference equations, Rocky Mountain Journal of Mathematics 24 (1994), pp. 253–260.

With Allan Peterson of the University of Nebraska, Asymptotic behavior of solutions of a two term difference equation, Rocky Mountain Journal of Mathematics 24 (1994), pp. 233–252.

With Paul Eloe of the University of Dayton, “Sign properties of Green's functions for difference equations, Proceedings of the First World Congress of Nonlinear Analysts (ed. V. Lakshmikantham) Vol. II, Walter de Gruyter, Inc., Berlin, Germany, 1996, pp.1121–1130.

Oscillation criteria for a neutral delay difference equation, PanAmerican Mathematical Journal, 6 (1996), Number 1, pp. 25–39.

Survey of Geometry an on-line undergraduate geometry textbook.


Mathematics Education
 

Everyday Functions, Journal of the North Dakota Council of Teachers of Mathematics, Vol. XXII, 1999, pp. 49–52.

Proof that Timothy Peil's Erd�s number is less than or equal to 4.

  1. Erd�s, P.; Godsil, C. D.; Krantz, S. G.; Parsons, T. D., Intersection graphs for families of balls in Rn, European J. Combin. 9(1988), no. 5, 501-505.
  2. Agarwal, R. P.; Krantz, S. G., A tribute to Professor William F. Ames on his 80th birthday, J. Math. Anal. Appl. 333(2007), no. 1, 1-7.
  3. Agarwal, R.; Ahlbrandt, C.; Bohner, M.; Peterson, A.; Discrete Linear Hamiltonian Systems: A Survey, Dynamic Systems and Applications 8(1999), 307-333.
  4. Peil, T.; Peterson, A.; Criteria for C-disfocality of a self-adjoint vector difference equation, Journal of Mathematical Analysis and Applications 179 (1993), pp. 512–524.    

My Mathematics Genealogy researched from the Mathematics Genealogy Project

Timothy Peil, Ph.D., University of Nebraska-Lincoln, 1990
Allan C. Peterson, Ph.D., University of Tennessee, 1968|
John H. Barrett, Ph.D., University of Texas, 1951
Hyman J. Ettlinger, Ph.D., Harvard University, 1920
George D. Birkhoff, Ph.D., University of Chicago, 1907
E.H. Moore, Ph.D., Yale University, 1885
Hubert A. Newton, B.S., Yale University, 1850
Michel Chasles, Ph.D. Ecole Polytechnique, 1814
Simeon Denis Poisson, Ph.D.
Joseph Louis Lagrange, Ph.D.
Leonhard Euler, Ph.D., Universitat Basel, 1726
Johann Bernoulli, 1694
Jacob Bernoulli
Gottfried Wilhelm Leibniz, Dr. jur., Universitat Altdorf, 1666
Erhard Weigel, Ph.D., Universitat Leipzig, 1650

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