Publications of Allan Peterson

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138 L. Erbe and T. Hassan, Oscillation of third order nonlinear functional dynamic equations on time scales, submitted.
137 J. Baoguo and L. Erbe, Oscillation of a family of q-difference equations, Appl. Math. Letters., to appear.
136 L. Erbe and T. Hassan, Oscillation criteria for nonlinear functional neutral dynamic equations on time scales, submitted.
135 J. Baoguo and Lynn Erbe, Oscillation and nonoscillation of second order linear dynamic equations with integrable coefficients on time scales, submitted.
134 J. Baoguo and Lynn Erbe, A Wong-type oscillation theorem for second order linear dynamic equations, submitted.
133 With L. Erbe and T. Hassan, Oscillation criteria for nonlinear damped dynamic equations on time scales, Appl. Math. Comput., to appear.
132 With M. Bohner and I. Gyori, in progress
131 J. Baoguo and Lynn Erbe, New comparison and oscillation results for second order half-linear dynamic equations on time scales, CAM, to appear.
130 L. Erbe, T. Hassan, and S. H. Saker, Oscillation criteria for sublinear half--linear delay equations, Internat. J. Differencs Equs.., to appear.
129 J. Baoguo and Lynn Erbe, Some new comparison results for second order linear dynamic Equations, Canad. Appl. Quart., to appear.
128 With L. Erbe, T. Hassan, and S. S. Saker, Oscillation Criteria for half--linear delay dynamic equations, Nonlin. Dynam. Syst. Thy., to appear.
127 With L. Erbe and T. S. Hassan, Oscillation of second order neutral delay differential equations, Advances Dynam. Systems Appl., to appear.
126 With L. Erbe and J. Weiss, Positive solutions to a singular second order boundary value problem, Advances Dynam. Syst. Appl., to appear.
125 With L. Erbe, A. Ruffing, and A. Suhrer, Numerical results for Schrodinger difference equations, Internat. J. Difference Equations, to appear.
124 With M. Bohner, Quest Editors, Internat. J. Difference Equs., 2007.
123 With L. Erbe and C. C. Tisdell, Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales, Nonlinear Analysis Series A: Theory, Methods, Appl., to appear
122 With L. Erbe and S. H. Saker, Oscillation criteria for a forced second-order dynamic equation, JDEA, to appear
121 With L. Erbe , Some oscillation results for second order linear delay dynamic equations, JDEA. to appear.
120 With L. Erbe and S. H. Saker, Oscillation criteria for second-order nonlinear delay dynamic equations, J. Math. Anal. Appl., 333 (2007) 505--522.
119 With L. Erbe and S. H. Saker, Hille and Nehari type criteria for third-order dynamic equations, J. Math. Anal. Appl., to appear
118 With L. Erbe and S. H. Saker, Hille-Kneser type criteria for second-order dynamic equations on time scales, Advances Difference Equ., 2006 (2006)
117 With L. Erbe and S. H. Saker, Oscillation and asyptotic behavior of a third order nonlinear dynamic equation on a time scale, Canad. Quart. Appl. Math.,
116 With L. Erbe and Pavel Rehak, Integral comparison theorems for second order linear dynamic equations, J. Difference Equa. Appl., to appear
115 With M. Bohner, Guest Editors, Dynamic Equations on Time Scales and Applications, Advances Difference Equ., 2006 (2006).
114 With D. Anderson and R. Krueger, Delay dynamic equations with stability, Advances Difference Equ., 2006 (2006) 1--19.
113 With Bevan Thompson, The Henstock-Kurzweil delta and nabla integrals, J. Math. Anal. Appl., 323 (2006) 162--178.
112 With L. Erbe and S.H. Saker, Kamenev-type oscillation criteria for second-order linear delay dynamic equations, Dynam. Sys. Appl., 15 (2006) 65--78.
111 With L. Erbe and C. C. Tisdell, Monotone Solutions of Dynamic Systems on Time Scales, J. Difference Equ. Appl., 12 (2006) 343--355.
110 With L. Erbe, Comparison Theorems of Hille-Wintner Type for Dynamic Equations on Time Scales, Proc. Amer. Math. Soc., 133 (2005) 3243--3253.
109 With M. Bohner and L. Erbe, Oscillation for nonlinear second order dynamic equations on a time scale, J. Math. Anal. Appl., 301 (2005) 491--507.
108 With Y. Raffoul, Exponential Stability of dynamic equations on time scales, Boundary Value Problems, Advances Difference Equ., 2005:2 (2005) 133--144.
107 With L. Erbe and C.C. Tisdell, Existence of solutions to second-order BVPs on time scales, Applicable Anal., 84:10 (2005) 1069--1078.
106 With L. Erbe, Some recent results in linear and nonlinear oscillation, Proc. ICDSA, May 2003, Atlanta, Dynam. Sys. Appl., 13 (2004), 381--395.
105 With L. Erbe, An oscillation result for a nonlinear dynamic equation on a time scale, Canad. Quart. Appl. Math., 11 (2003) 143--157.
104 With L. Erbe and S.H. Saker, Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales, J. Comput. Appl. Math., 181 (2005) 92--102.
103 With L. Erbe and M. Simon, Square integrability of Gaussian bells on time scales, Comput. Math. Appl., 49 (2005) 871--883.
102 With J. Henderson and C. Tisdell, On the existence and uniqueness of solutions to boundary value problems on time scales, Advances Difference Equ., 2004 (2004) 93--109.
101 With C. Tisdell and Y. Raffoul, Three point boundary value problems on time scales, J. Difference Equ. Appl., 10 (2004) 843--849.
100 With Chris Tisdell, Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales, J. Difference Equ. Appl., 10 (2004) 1295--1306.
99 With Lynn Erbe, Recent results concerning dynamic equations on time scales, Proc. 2002 Bexbach Conference, Electron. Trans. Numerical Anal., to appear 2007.
98 With M. Bohner and G. Guseinov, Wrote Chapter 1 of the book, Advances in Dynamic Equations on Time Scales, Birkhauser, 2003, 1--15.
97 With S. Huff, G. Olumolade, N. Pennington, Oscillation of an Euler-Cauchy dynamic equation, Proceedings of the fourth international conference on dynamical systems and differential equations, Discrete Cont. Dynam. Sys., (2002) 24--27.
96 With L. Erbe, Boundedness and oscillation for nonlinear dynamic equations on a time scale, Proc. Amer. Math. Soc., 132 (2003) 735--744.
95 With L. Erbe and S. H. Saker, Oscillation criteria for second-order nonlinear dynamic equation on time scales, J. London Math. Soc., 67 (2003) 701--714.
94 With L. Erbe and P. Rehak, Comparison theorems for linear dynamic equations on time scales, J. Math. Analysis Appl., 275 (2002) 418--438.
93 With Walter Kelley, The Theory of Differential Equations: Classical and Qualitative, Prentice Hall, 2004.
92 With Martin Bohner, Editors, Advances in Dynamic Equations on Time Scales, Birkhauser, 2003.
91 Preface: Dedication to L. Erbe, J. Difference Equ. Appl., 8 (2002) 293--294.
90 With D. Anderson, J. Bullock, L. Erbe, and H. Tran, Nabla dynamic equations on time scales, (see also Chapter 3 of book, Advances in Dynamic Equations on Time Scales, Birkhauser, 2002), PanAmer. Math. J., 13 (2003) 1--47.
89 With R. Higgins, Cauchy functions and Taylor’s formula for time scales, Proceedings of the 6th ICDEA in Augsburg, Germany, 2001, new Progress in Difference Equations, Edited by B. Aulbach, S. Elaydi, and G. Ladas, J. Difference Equ. Appl., (2003) 299--308.
88 With E. Akin, M Bohner, and L. Erbe, Existence of bounded solutions for second order dynamic equations, J. Difference Equ. Appl., 8 (2002), 389--401.
87 87. Journal of Difference Equations and Applications, Guest Editor, 7 (2001).
86 Preface: Dedication to Calvin Ahlbrandt, J. Difference Equ. Appl., 7 (2001) 763--766.
85 With R.P. Agarwal and M. Bohner, Inequalities on time scales, a survey, Math. Inequa. Appl., 4 (2001) 535--557.
84 With M. Bohner, Dynamic Equations on Time Scales, Birhauser, Boston, 2001.
83 With L. Erbe, Averaging techniques for self-adjoint matrix equations on a measure chain, J. Math. Anal. Appl., 271 (2002) 31--58.
82 With E. Akin, L. Erbe, and B. Kaymakalan, Oscillation results for a dynamic equation on a time scale, J. Meth. Appl. Anal., 7 (2001) 793--810.
81 With M. Bohner, Laplace transform and z-transform: Unification and extension, Methods Appl. Anal., 9 (2002) 151--158. (See also ULMER SEMINARE 2001, Funktionalanalysis and Differentialgleichumgen, Heft 6, 69--75).
80 With R. Agarwal, M. Bohner, and D. O'Regan, Dynamic equations on time scales: A survey, J. Comput. Appl. Math., 141 (2002) 1--26. (See also ULMER SEMINARE 2000, Funktionalanalysis and Differentialgleichumgen, Heft, 5 (2000) 1--35).
79 With M. Bohner, First and second order linear dynamic equations on time scales, J. Difference Equ. Appl., 7 (2001) 767--792.
78 With M. Bohner, A Survey of exponential functions on time scales, Rev. Cubo Matematica Educacimal, 3 (2001) 285--301.
77 With W. Kelley, Difference Equations: An Introduction with Applications, Academic Press, Second Edition, 2001.
76 With L. Erbe, Oscillation criteria for second order matrix dynamic equations on a time scale. Journal of Computational and Applied Mathematics, 141 (2002) 169--186.
75 With R. Avery, Three positive fixed points of nonlinear operators on ordered Banach spaces, Comput. Math. Appl., 42 (2001) 313--322.
74 With L. Erbe, Riccati equations on a measure chain, Dynamical Systems and Applications, Proc. Dynam. Sys.Appl., 3 (2001) 193--200.
73 With L. Erbe and R. Mathsen, Existence, multiplicity, and nonexistence of positive solutions to a differential equation on a measure chain, J. Comput. Appl. Math., 113 (2000) 365--380.
72 With L. Erbe and R. Mathsen, Factoring linear differential operations on measure chains, J. Inequal. Appl., 6 (2001) 287--303.
71 With L. Erbe, Eigenvalue conditions and positive solutions, Journal of Difference Equations and Applications, J. Difference Equ. Appl., 6 (2000) 165--191.
70 With M. Morelli, A third order differential equation on a time scale, Math. Comput. Modeling, 32 (2000) 565--570.
69 With D. Anderson, Asymptotic properties of solutions of a 2n-th order differential equation on a time scale, Mathematical and Computer Modeling, 32 (2000) 653--660
68 With C. Ahlbrandt, R. Agarwal, and M. Bohner, Discrete linear Hamiltonian systems: a survey, Dynam. Sys. Appl., 8 (1999) 307--333.
67 With L. Erbe, (Preface: Dedication to Lloyd Jackson), Boundary Value Problems and Related Topics, Edited by L. Erbe and A. Peterson, Math. Comput. Modeling, 32 (2000) xiii--xiv.
66 With L. Erbe, Boundary Value Problems and Related Topics, Math. Comput. Modeling, Guest Editors, 32 (2000).
65 With L. Erbe, Positive solutions for a nonlinear differential equation on a measure chain, Math. Comput. Modeling, 32 (2000) 571--585.
64 With L. Erbe, Green's functions and comparison theorems for differential equations on measure chains, Dynamics of Continuous , Discrete Impul. Sys., 6 (1999) 121--137.