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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