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Allan Peterson - Publications

Affiliations: 
The University of Nebraska - Lincoln, Lincoln, NE 
Area:
Mathematics
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82 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Liu X, Jia B, Erbe L, Peterson A. Stability analysis for a class of nabla (q; h)-fractional difference equations Turkish Journal of Mathematics. 43: 664-687. DOI: 10.3906/Mat-1811-96  0.393
2019 Abdeljawad T, Mert R, Peterson A. Sturm Liouville Equations in the frame of fractional operators with exponential kernels and their discrete versions Quaestiones Mathematicae. 42: 1271-1289. DOI: 10.2989/16073606.2018.1514540  0.419
2019 Jia B, Erbe L, Peterson A. Asymptotic behavior of solutions of fractional nabla q-difference equations Georgian Mathematical Journal. 26: 21-28. DOI: 10.1515/Gmj-2017-0030  0.419
2019 Liu X, Peterson A, Jia B, Erbe L. A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’ Journal of Difference Equations and Applications. 25: 815-836. DOI: 10.1080/10236198.2018.1551382  0.307
2018 Du F, Erbe L, Jia B, Peterson A. Two asymptotic results of solutions for nabla fractional (q; h)-difference equations Turkish Journal of Mathematics. 42: 2214-2242. DOI: 10.3906/Mat-1802-49  0.428
2017 Baoguo J, Erbe L, Goodrich C, Peterson A. The Relation Between Nabla Fractional Differences and Nabla Integer Differences Filomat. 31: 1741-1753. DOI: 10.2298/Fil1706741B  0.616
2017 Erbe L, Goodrich CS, Jia B, Peterson A. Monotonicity results for delta fractional differences revisited Mathematica Slovaca. 67. DOI: 10.1515/Ms-2017-0018  0.587
2017 Liu X, Jia B, Erbe L, Peterson A. Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations Electronic Journal of Qualitative Theory of Differential Equations. 1-16. DOI: 10.14232/Ejqtde.2017.1.51  0.462
2017 Jia B, Chen S, Erbe L, Peterson A. Liapunov functional and stability of linear nabla (q, h)-fractional difference equations Journal of Difference Equations and Applications. 23: 1974-1985. DOI: 10.1080/10236198.2017.1380634  0.47
2016 Du F, Jia B, Erbe L, Peterson A. Monotonicity and convexity for nabla fractional (q, h)-differences Journal of Difference Equations and Applications. 22: 1224-1243. DOI: 10.1080/10236198.2016.1188089  0.323
2016 Wu H, Jia B, Erbe L, Peterson A. Oscillation criteria for second order superlinear dynamic equations with oscillating coefficients Applied Mathematics Letters. 61: 167-172. DOI: 10.1016/J.Aml.2017.04.006  0.447
2015 Jia B, Erbe L, Peterson A. Comparison theorems and asymptotic behavior of solutions of discrete fractional equations Electronic Journal of Qualitative Theory of Differential Equations. 2015. DOI: 10.14232/Ejqtde.2015.1.89  0.435
2015 Baoguo J, Erbe L, Peterson A. Convexity for nabla and delta fractional differences Journal of Difference Equations and Applications. 21: 360-373. DOI: 10.1080/10236198.2015.1011630  0.378
2015 Wu H, Erbe L, Peterson A. Upper bounds for the distances between consecutive zeros of solutions of first order delay differential equations Journal of Mathematical Analysis and Applications. 429: 562-575. DOI: 10.1016/J.Jmaa.2015.04.049  0.476
2015 Saker SH, Mahmoud RR, Peterson A. A new Picone's dynamic inequality on time scales with applications Applied Mathematics Letters. 48: 162-169. DOI: 10.1016/J.Aml.2015.03.015  0.43
2015 Jia B, Erbe L, Peterson A. Two monotonicity results for nabla and delta fractional differences Archiv Der Mathematik. 104: 589-597. DOI: 10.1007/S00013-015-0765-2  0.303
2015 Saker SH, Mahmoud RR, Peterson A. Weighted Hardy-Type Inequalities on Time Scales with Applications Mediterranean Journal of Mathematics. DOI: 10.1007/S00009-014-0514-Y  0.399
2014 Jia B, Erbe L, Peterson A. A Butler-type oscillation theorem for second-order dynamic equations on discrete timescales Journal of Difference Equations and Applications. 20: 671-684. DOI: 10.1080/10236198.2013.791689  0.497
2013 Baoguo J, Erbe L, Peterson A. An oscillation theorem for second order superlinear dynamic equations on time scales Applied Mathematics and Computation. 219: 10333-10342. DOI: 10.1016/J.Amc.2013.03.138  0.446
2013 Erbe L, Mert R, Peterson A, Zafer A. Oscillation of even order nonlinear delay dynamic equations on time scales Czechoslovak Mathematical Journal. 63: 265-279. DOI: 10.1007/S10587-013-0017-1  0.505
2012 Erbe L, Mert R, Peterson A. Spectral parameter power series for Sturm-Liouville equations on time scales Applied Mathematics and Computation. 218: 7671-7678. DOI: 10.1016/J.Amc.2012.01.037  0.472
2012 Erbe L, Baoguo J, Peterson A. On the asymptotic behavior of solutions of Emden–Fowler equations on time scales Annali Di Matematica Pura Ed Applicata. 191: 205-217. DOI: 10.1007/S10231-010-0179-5  0.424
2011 Baoguo J, Erbe L, Peterson A. Kiguradze-type Oscillation Theorems for Second Order Superlinear Dynamic Equations on Time Scales Canadian Mathematical Bulletin. 54: 580-592. DOI: 10.4153/Cmb-2011-034-4  0.488
2011 Erbe L, Baoguo J, Peterson A. Oscillation of $n$th order superlinear dynamic equations on time scales Rocky Mountain Journal of Mathematics. 41: 471-491. DOI: 10.1216/Rmj-2011-41-2-471  0.473
2011 Hassan TS, Erbe L, Peterson A. Oscillation criteria for second order sublinear dynamic equations with damping term Journal of Difference Equations and Applications. 17: 505-523. DOI: 10.1080/10236190903143802  0.483
2011 Hassan TS, Erbe L, Peterson A. Forced Oscillation Of Second Order Differential Equations With Mixed Nonlinearities Acta Mathematica Scientia. 31: 613-626. DOI: 10.1016/S0252-9602(11)60261-0  0.456
2011 Erbe L, Jia B, Peterson A. Belohorec-type Oscillation Theorem for Second Order Sublinear Dynamic Equations on Time Scales Mathematische Nachrichten. 284: 1658-1668. DOI: 10.1002/Mana.200810281  0.539
2010 Baoguo J, Erbe L, Peterson A. A Wong-type oscillation theorem for second order linear dynamic equations on time scales Journal of Difference Equations and Applications. 16: 15-36. DOI: 10.1080/10236190802409312  0.515
2010 Hassan TS, Erbe L, Peterson A. Oscillation of second order superlinear dynamic equations with damping on time scales Computers & Mathematics With Applications. 59: 550-558. DOI: 10.1016/J.Camwa.2009.06.030  0.459
2010 Erbe L, Hassan TS, Peterson A. Oscillation of third order nonlinear functional dynamic equations on time scales Differential Equations and Dynamical Systems. 18: 199-227. DOI: 10.1007/S12591-010-0005-Y  0.451
2010 Erbe L, Hassan TS, Peterson A. Oscillation of third order functional dynamic equations with mixed arguments on time scales Journal of Applied Mathematics and Computing. 34: 353-371. DOI: 10.1007/S12190-009-0326-6  0.497
2009 Erbe L, Hassan ST, Peterson A. Oscillation criteria for first order forced dynamic equations Applicable Analysis and Discrete Mathematics. 3: 253-263. DOI: 10.2298/Aadm0902253E  0.452
2009 Erbe L, Hassan TS, Peterson A. Oscillation criteria for nonlinear functional neutral dynamic equations on time scales Journal of Difference Equations and Applications. 15: 1097-1116. DOI: 10.1080/10236190902785199  0.537
2009 Erbe L, Baoguo J, Peterson A. Nonoscillation for second order sublinear dynamic equations on time-scales Journal of Computational and Applied Mathematics. 232: 594-599. DOI: 10.1016/J.Cam.2009.06.039  0.476
2009 Baoguo J, Erbe L, Peterson A. Oscillation of a family of q-difference equations Applied Mathematics Letters. 22: 871-875. DOI: 10.1016/J.Aml.2008.07.014  0.391
2009 Erbe L, Baoguo J, Peterson A. Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales Applied Mathematics and Computation. 215: 1868-1885. DOI: 10.1016/J.Amc.2009.07.060  0.487
2008 Erbe L, Peterson A, Saker SH. Oscillation criteria for a forced second-order nonlinear dynamic equation Journal of Difference Equations and Applications. 14: 997-1009. DOI: 10.1080/10236190802332175  0.51
2008 Erbe L, Peterson A, Tisdell CC. Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales Nonlinear Analysis-Theory Methods & Applications. 69: 2303-2317. DOI: 10.1016/J.Na.2007.08.010  0.513
2008 Jia B, Erbe L, Peterson A. New comparison and oscillation theorems for second-order half-linear dynamic equations on time scales Computers & Mathematics With Applications. 56: 2744-2756. DOI: 10.1016/J.Camwa.2008.05.014  0.521
2008 Erbe L, Hassan TS, Peterson A. Oscillation criteria for nonlinear damped dynamic equations on time scales Applied Mathematics and Computation. 203: 343-357. DOI: 10.1016/J.Amc.2008.04.038  0.524
2007 Erbe L, Peterson A, Saker SH. Oscillation criteria for second-order nonlinear delay dynamic equations Journal of Mathematical Analysis and Applications. 333: 505-522. DOI: 10.1016/J.Jmaa.2006.10.055  0.56
2007 Erbe L, Peterson A, Saker SH. Hille and Nehari type criteria for third-order dynamic equations Journal of Mathematical Analysis and Applications. 329: 112-131. DOI: 10.1016/J.Jmaa.2006.06.033  0.547
2006 Bohner M, Peterson A. Dynamic equations and applications Advances in Difference Equations. 2006: 1-2. DOI: 10.1155/Ade/2006/83968  0.438
2006 Erbe L, Peterson A, Saker S. Hille-Kneser-type criteria for second-order dynamic equations on time scales Advances in Difference Equations. 2006: 51401. DOI: 10.1155/Ade/2006/51401  0.552
2006 Erbe L, Peterson A, Tisdell CC. Monotone solutions of dynamic systems on time scales Journal of Difference Equations and Applications. 12: 343-355. DOI: 10.1080/10236190500489582  0.503
2006 Peterson A, Thompson B. Henstock–Kurzweil delta and nabla integrals☆ Journal of Mathematical Analysis and Applications. 323: 162-178. DOI: 10.1016/J.Jmaa.2005.10.025  0.364
2005 Erbe L, Peterson A, Tisdell CC. Existence of solutions to second-order BVPs on time scales Applicable Analysis. 84: 1069-1078. DOI: 10.1080/00036810410001724706  0.484
2005 Bohner M, Erbe L, Peterson A. Oscillation for nonlinear second order dynamic equations on a time scale Journal of Mathematical Analysis and Applications. 301: 491-507. DOI: 10.1016/J.Jmaa.2004.07.038  0.546
2005 Erbe L, Peterson A, Simon M. Square integrability of Gaussian bells on time scales Computers & Mathematics With Applications. 49: 871-883. DOI: 10.1016/J.Camwa.2004.04.039  0.39
2005 Erbe L, Peterson A, Saker SH. Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales Journal of Computational and Applied Mathematics. 181: 92-102. DOI: 10.1016/J.Cam.2004.11.021  0.514
2004 Henderson J, Peterson A, Tisdell CC. On the existence and uniqueness of solutions to boundary value problems on time scales Advances in Difference Equations. 2004: 146482. DOI: 10.1155/S1687183904308071  0.337
2003 Erbe L, Peterson A, Saker SH. Oscillation Criteria For Second-Order Nonlinear Dynamic Equations On Time Scales Journal of the London Mathematical Society-Second Series. 67: 701-714. DOI: 10.1112/S0024610703004228  0.55
2002 Akin E, Bohner M, Erbe L, Peterson A. Existence of Bounded Solutions for Second Order Dynamic Equations Journal of Difference Equations and Applications. 8: 389-401. DOI: 10.1080/1026190290017414  0.645
2002 Erbe L, Peterson A. Oscillation criteria for second-order matrix dynamic equations on a time scale Journal of Computational and Applied Mathematics. 141: 169-185. DOI: 10.1016/S0377-0427(01)00444-7  0.46
2002 Agarwal R, Bohner M, O'Regan D, Peterson A. Dynamic equations on time scales: a survey Journal of Computational and Applied Mathematics. 141: 1-26. DOI: 10.1016/S0377-0427(01)00432-0  0.509
2002 Erbe L, Peterson A, Řehák P. Comparison theorems for linear dynamic equations on time scales Journal of Mathematical Analysis and Applications. 275: 418-438. DOI: 10.1016/S0022-247X(02)00390-6  0.497
2002 Erbe L, Peterson A. Averaging techniques for self-adjoint matrix equations on a measure chain☆ Journal of Mathematical Analysis and Applications. 271: 31-58. DOI: 10.1016/S0022-247X(02)00092-6  0.474
2001 Agarwal RP, Bohner M, Peterson A. Inequalities on Time Scales: A Survey Mathematical Inequalities & Applications. 535-557. DOI: 10.7153/Mia-04-48  0.555
2001 Akin E, Erbe L, Peterson A, Kaymakçalan B. Oscillation results for a dynamic equation on a time scale Journal of Difference Equations and Applications. 7: 793-810. DOI: 10.1080/10236190108808303  0.643
2000 Erbe L, Peterson A. Eigenvalue conditions and positive solutions Journal of Difference Equations and Applications. 6: 165-191. DOI: 10.1080/10236190008808220  0.418
2000 Anderson D, Peterson A. Asymptotic properties of solutions of a 2nth-order differential equation on a time scale Mathematical and Computer Modelling. 32: 653-660. DOI: 10.1016/S0895-7177(00)00162-X  0.527
2000 Erbe L, Peterson A. Positive solutions for a nonlinear differential equation on a measure chain Mathematical and Computer Modelling. 32: 571-585. DOI: 10.1016/S0895-7177(00)00154-0  0.447
2000 Morelli M, Peterson A. A third-order differential equation on a time scale Mathematical and Computer Modelling. 32: 565-570. DOI: 10.1016/S0895-7177(00)00153-9  0.489
2000 Erbe L, Peterson A, Mathsen R. Existence, multiplicity, and nonexistence of positive solutions to a differential equation on a measure chain Journal of Computational and Applied Mathematics. 113: 365-380. DOI: 10.1016/S0377-0427(99)00267-8  0.46
1999 Peterson A. Book review: Linear difference equations with discrete transform methods Journal of Difference Equations and Applications. 5: 495-496. DOI: 10.1080/10236199908808202  0.388
1998 Peterson A. A quadratic functional for a third order linear difference equation Journal of Difference Equations and Applications. 3: 463-472. DOI: 10.1080/10236199708808115  0.508
1998 Atici F, Peterson A. Bounds for positive solutions for a focal boundary value problem Computers & Mathematics With Applications. 36: 99-107. DOI: 10.1016/S0898-1221(98)80012-6  0.387
1998 Anderson D, Avery R, Peterson A. Three positive solutions to a discrete focal boundary value problem Journal of Computational and Applied Mathematics. 88: 103-118. DOI: 10.1016/S0377-0427(97)00201-X  0.372
1996 Henderson J, Peterson A. Boundary value problems for functional difference equations Applied Mathematics Letters. 9: 57-61. DOI: 10.1016/0893-9659(96)00032-8  0.44
1995 Peterson A, Schneider J. The Cauchy Function for $n$th Order Linear Difference Equations Rocky Mountain Journal of Mathematics. 25: 441-457. DOI: 10.1216/Rmjm/1181072294  0.442
1995 Peterson A, Ridenhour J. The (2,2)-disconjugacy of a fourth order difference equation Journal of Difference Equations and Applications. 1: 87-93. DOI: 10.1080/10236199508808009  0.444
1994 Henderson J, Peterson A. Disconjugacy for a third order linear difference equation Computers & Mathematics With Applications. 28: 131-139. DOI: 10.1016/0898-1221(94)00101-4  0.547
1994 Ahlbrandt CD, Peterson A. The (n, n)-disconjugacy of a 2nth order linear difference equation Computers and Mathematics With Applications. 28: 1-9. DOI: 10.1016/0898-1221(94)00088-3  0.399
1993 Peil T, Peterson A. A Theorem of Milloux for Difference Equations Rocky Mountain Journal of Mathematics. 24: 253-260. DOI: 10.1216/Rmjm/1181072464  0.468
1993 Peil T, Peterson A. Asymptotic Behavior of Solutions of a Two Term Difference Equation Rocky Mountain Journal of Mathematics. 24: 233-252. DOI: 10.1216/Rmjm/1181072463  0.402
1993 Peil T, Peterson A. Criteria for C-Disfocality of a Self-Adjoint Vector Difference Equation Journal of Mathematical Analysis and Applications. 179: 512-524. DOI: 10.1006/Jmaa.1993.1366  0.5
1991 Peterson A, Ridenhour J. Oscillation of second order linear matrix difference equations Journal of Differential Equations. 89: 69-88. DOI: 10.1016/0022-0396(91)90111-L  0.443
1989 Hankerson D, Peterson A. A positivity result applied to difference equations Journal of Approximation Theory. 59: 76-86. DOI: 10.1016/0021-9045(89)90161-5  0.45
1988 Hankerson D, Peterson A. A classification of the solutions of a difference equation according to their behavior at infinity Journal of Mathematical Analysis and Applications. 136: 249-266. DOI: 10.1016/0022-247X(88)90129-1  0.468
1976 Peterson AC. Comparison theorems and existence theorems for ordinary differential equations Journal of Mathematical Analysis and Applications. 55: 773-784. DOI: 10.1016/0022-247X(76)90080-9  0.375
1975 Peterson AC. Comparison theorems for boundary value problems Journal of Mathematical Analysis and Applications. 52: 573-582. DOI: 10.1016/0022-247X(75)90082-7  0.395
1970 Peterson AC. The distribution of zeros of extremal solutions of a fourth order differential equation for the n-th conjugate point Journal of Differential Equations. 8: 502-511. DOI: 10.1016/0022-0396(70)90022-7  0.322
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