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Author ID: peterson.allan-c Recent zbMATH articles by "Peterson, Allan C."
Published as: Peterson, Allan; Peterson, Allan C.; Peterson, A.; Peterson, A. C.; Peterson, Alan
Homepage: https://www.math.unl.edu/~apeterson1/
External Links: MGP
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Serials

21 Journal of Difference Equations and Applications
15 Journal of Mathematical Analysis and Applications
10 Rocky Mountain Journal of Mathematics
7 Computers & Mathematics with Applications
7 Advances in Difference Equations
6 Journal of Computational and Applied Mathematics
6 Proceedings of the American Mathematical Society
5 Mathematical and Computer Modelling
4 Applied Mathematics and Computation
4 Canadian Mathematical Bulletin
4 Journal of Differential Equations
4 Applied Mathematics Letters
4 Dynamic Systems and Applications
3 Panamerican Mathematical Journal
3 SIAM Journal on Mathematical Analysis
3 The Canadian Applied Mathematics Quarterly
3 Electronic Journal of Differential Equations (EJDE)
3 Mathematical Inequalities & Applications
2 Turkish Journal of Mathematics
2 Discrete and Continuous Dynamical Systems
2 Communications in Applied Analysis
2 Journal of Inequalities and Applications
2 Electronic Journal of Qualitative Theory of Differential Equations
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Nonlinear Dynamics and Systems Theory
1 Applicable Analysis
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Quaestiones Mathematicae
1 Differential and Integral Equations
1 Georgian Mathematical Journal
1 Filomat
1 ETNA. Electronic Transactions on Numerical Analysis
1 Methods and Applications of Analysis
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Differential Equations and Dynamical Systems
1 Cubo Matemática Educacional
1 Journal of Applied Mathematics and Computing
1 Mediterranean Journal of Mathematics
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 Kluwer Texts in the Mathematical Sciences
1 International Journal of Difference Equations
1 Journal of Mathematical Inequalities
1 Applicable Analysis and Discrete Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Applied Analysis and Computation
1 Universitext

Publications by Year

Citations contained in zbMATH Open

159 Publications have been cited 6,493 times in 3,240 Documents Cited by Year
Dynamic equations on time scales. An introduction with applications. Zbl 0978.39001
Bohner, Martin; Peterson, Allan
2001
Advances in dynamic equations on time scales. Zbl 1025.34001
2003
Inequalities on time scales: a survey. Zbl 1021.34005
Agarwal, R.; Bohner, M.; Peterson, A.
343
2001
Dynamic equations on time scales: A survey. Zbl 1020.39008
Agarwal, Ravi; Bohner, Martin; O’Regan, Donal; Peterson, Allan
277
2002
Discrete fractional calculus. Zbl 1350.39001
Goodrich, Christopher; Peterson, Allan C.
261
2015
Difference equations: an introduction with applications. Zbl 0733.39001
Kelley, Walter G.; Peterson, Allan C.
199
1991
Difference equations. An introduction with applications. 2nd ed. Zbl 0970.39001
Kelley, Walter G.; Peterson, Allan C.
189
2001
Three positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1005.47051
Avery, R. I.; Peterson, A. C.
171
2001
Discrete Hamiltonian systems. Difference equations, continued fractions, and Riccati equations. Zbl 0860.39001
Ahlbrandt, Calvin D.; Peterson, Allan C.
165
1996
Positive solutions for a nonlinear differential equation on a measure chain. Zbl 0963.34020
Erbe, L.; Peterson, A.
108
2000
First and second order linear dynamic equations on time scales. Zbl 0993.39010
Bohner, Martin; Peterson, Allan
104
2001
Oscillation criteria for second-order nonlinear delay dynamic equations. Zbl 1125.34046
Erbe, L.; Peterson, A.; Saker, S. H.
80
2007
Oscillation criteria for second-order nonlinear dynamic equations on time scales. Zbl 1050.34042
Erbe, Lynn; Peterson, Allan; Saker, S. H.
75
2003
Green’s functions and comparison theorems for differential equations on measure chains. Zbl 0938.34027
Erbe, Lynn; Peterson, Allan
67
1999
Oscillation for nonlinear second order dynamic equations on a time scale. Zbl 1061.34018
Bohner, Martin; Erbe, Lynn; Peterson, Allan
61
2005
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. Zbl 1075.39010
Erbe, L.; Peterson, A.; Saker, S. H.
50
2005
Hille and Nehari type criteria for third-order dynamic equations. Zbl 1128.39009
Erbe, L.; Peterson, A.; Saker, S. H.
48
2007
The theory of differential equations. Classical and qualitative. 2nd ed. Zbl 1201.34001
Kelley, Walter G.; Peterson, Allan C.
48
2010
Oscillation criteria for nonlinear damped dynamic equations on time scales. Zbl 1162.39005
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
41
2008
Boundedness and oscillation for nonlinear dynamic equations on a time scale. Zbl 1055.39007
Erbe, Lynn; Peterson, Allan
40
2004
Three positive solutions to a discrete focal boundary value problem. Zbl 1001.39021
Anderson, D.; Avery, R.; Peterson, A.
39
1998
Two monotonicity results for nabla and delta fractional differences. Zbl 1327.39011
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
38
2015
Comparison theorems for linear dynamic equations on time scales. Zbl 1034.34042
Erbe, Lynn; Peterson, Allan; Řehák, Pavel
37
2002
Oscillation criteria for second-order matrix dynamic equations on a time scale. Zbl 1017.34030
Erbe, Lynn; Peterson, Allan
36
2002
Convexity for nabla and delta fractional differences. Zbl 1320.39003
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
36
2015
Oscillation criteria for half-linear delay dynamic equations on time scales. Zbl 1173.34037
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan; Saker, Samir H.
36
2009
Oscillation criteria for nonlinear functional neutral dynamic equations on time scales. Zbl 1193.34135
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
35
2009
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
33
2016
Eigenvalue conditions and positive solutions. Zbl 0949.34015
Erbe, Lynn; Peterson, Allan
31
2000
Oscillation and asymptotic behavior of a third-order nonlinear dynamic equation. Zbl 1145.34329
Erbe, L.; Peterson, A.; Saker, S. H.
29
2006
Existence-uniqueness for focal-point boundary value problems. Zbl 0473.34009
Peterson, Allan C.
28
1981
Boundary value problems for an \(n\)th order linear difference equation. Zbl 0532.39001
Peterson, Allan C.
28
1984
Oscillation of third order nonlinear functional dynamic equations on time scales. Zbl 1213.34116
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
28
2010
Nabla dynamic equations on time scales. Zbl 1032.39007
Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam
28
2003
Multiple positive solutions of a discrete second order conjugate problem. Zbl 0959.39006
Avery, Richard I.; Peterson, Allan C.
24
1998
Weighted Hardy-type inequalities on time scales with applications. Zbl 1342.26064
Saker, S. H.; Mahmoud, R. R.; Peterson, A.
24
2016
Exponential stability of dynamic equations on time scales. Zbl 1100.39013
Peterson, Allan C.; Raffoul, Youssef N.
23
2005
Henstock-Kurzweil delta and nabla integrals. Zbl 1110.26011
Peterson, Allan; Thompson, Bevan
23
2006
Oscillation of second order linear matrix difference equations. Zbl 0762.39005
Peterson, Allan
23
1991
Three point boundary value problems on time scales. Zbl 1078.39016
Peterson, A. C.; Raffoul, Y. N.; Tisdell, C. C.
23
2004
Monotonicity and convexity for nabla fractional \((q,h)\)-differences. Zbl 1364.39009
Du, Feifei; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
23
2016
A survey of exponential function on times scales. Zbl 1074.39018
Bohner, Martin; Peterson, Allan
23
2001
Comparison of eigenvalues for focal point problems for \(n\)-th order difference equations. Zbl 0733.39002
Hankerson, Darrel; Peterson, Allan
22
1990
On the existence and uniqueness of solutions to boundary value problems on time scales. Zbl 1089.39005
Henderson, Johnny; Peterson, Allan; Tisdell, Christopher C.
21
2004
Discrete linear Hamiltonian systems: A survey. Zbl 0942.39009
Agarwal, Ravi; Ahlbrandt, Calvin; Bohner, Martin; Peterson, Allan
21
1999
Monotonicity results for delta fractional differences revisited. Zbl 1505.26016
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
21
2017
The \((n,n)\)-disconjugacy of a \(2n\)-th order linear difference equation. Zbl 0815.39003
Ahlbrandt, C. D.; Peterson, A.
20
1994
Existence and uniqueness theorems for nonlinear difference equations. Zbl 0625.39002
Peterson, Allan C.
20
1987
Boundedness and uniqueness of solutions to dynamic equations on time scales. Zbl 1072.39017
Peterson, Allan C.; Tisdell, Christopher C.
20
2004
Kamenev-type oscillation criteria for second-order linear delay dynamic equations. Zbl 1104.34026
Erbe, L.; Peterson, A.; Saker, S. H.
18
2006
The \((2,2)\)-disconjugacy of the fourth order difference equation. Zbl 0837.39004
Peterson, Allan; Ridenhour, Jerry
17
1995
Oscillation of solution to second-order half-linear delay dynamic equations on time scales. Zbl 1345.34150
Wu, Hongwu; Erbe, Lynn; Peterson, Allan
17
2016
Riccati equations on a measure chain. Zbl 1008.34006
Erbe, Lynn; Peterson, Allan
17
2001
Laplace transform and \(Z\)-transform: Unification and extension. Zbl 1031.44001
Bohner, Martin; Peterson, Allan
17
2002
Asymptotic behavior of solutions of a two term difference equation. Zbl 0809.39006
Peil, Timothy; Peterson, Allan
16
1994
Some relations between the Caputo fractional difference operators and integer-order differences. Zbl 1321.39024
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
15
2015
Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain. Zbl 0937.34025
Erbe, Lynn; Peterson, Allan; Mathsen, Ronald
14
2000
On the asymptotic behavior of solutions of Emden-Fowler equations on time scales. Zbl 1259.34093
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
14
2012
Comparison theorems and asymptotic behavior of solutions of discrete fractional equations. Zbl 1349.39006
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
14
2015
Comparison theorems for eigenvalue problems for \(n\)-th order differential equations. Zbl 0692.34020
Hankerson, Darrel; Peterson, Allan
13
1988
Comparison theorems and existence theorems for ordinary differential equations. Zbl 0342.34008
Peterson, Allan C.
13
1976
Existence-uniqueness for ordinary differential equations. Zbl 0386.34022
Peterson, Allan C.
13
1978
Green’s functions for focal type boundary value problems. Zbl 0387.34014
Peterson, Allan
13
1979
Bounds for positive solutions for a focal boundary value problem. Zbl 0933.39040
Atici, F.; Peterson, A.
13
1998
The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
13
2017
Spectral parameter power series for Sturm-Liouville equations on time scales. Zbl 1245.34088
Erbe, Lynn; Mert, Raziye; Peterson, Allan
13
2012
Oscillation of third order functional dynamic equations with mixed arguments on time scales. Zbl 1213.34115
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
12
2010
Kiguradze-type oscillation theorems for second order superlinear dynamic equations on time scales. Zbl 1246.34066
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
12
2011
Monotonicity and convexity for nabla fractional \(q\)-differences. Zbl 1362.39020
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
12
2016
Hille-Kneser-type criteria for second-order dynamic equations on time scales. Zbl 1229.34136
Erbe, Lynn; Peterson, Allan C.; Saker, Samir H.
11
2006
Criteria for \(C\)-disfocality of a selfadjoint vector difference equation. Zbl 0802.39003
Peil, Timothy; Peterson, Allan
11
1993
Oscillation of even order nonlinear delay dynamic equations on time scales. Zbl 1274.34262
Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık
11
2013
Oscillation results for a dynamic equation on a time scale. Zbl 1002.39024
Akin, Elvan; Erbe, Lynn; Peterson, Allan; Kaymakçalan, Billur
11
2001
Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales. Zbl 1229.34135
Erbe, Lynn; Jia, Baoguo; Peterson, Allan
10
2011
A positivity result applied to difference equations. Zbl 0695.39004
Hankerson, Darrel; Peterson, Allan
10
1989
Oscillation of second order superlinear dynamic equations with damping on time scales. Zbl 1189.34133
Hassan, Taher S.; Erbe, Lynn; Peterson, Allan
10
2010
Oscillation of an Euler-Cauchy dynamic equation. Zbl 1052.39007
Huff, S.; Olumolode, G.; Pennington, N.; Peterson, A.
10
2003
Sturm Liouville equations in the frame of fractional operators with exponential kernels and their discrete versions. Zbl 1429.34007
Abdeljawad, Thabet; Mert, Raziye; Peterson, Allan
10
2019
Delay dynamic equations with stability. Zbl 1134.39011
Anderson, Douglas R.; Krueger, Robert J.; Peterson, Allan C.
9
2006
Existence of solutions to second-order BVPs on time scales. Zbl 1088.39014
Erbe, Lynn; Peterson, Allan; Tisdell, Christopher C.
9
2005
A Wong-type oscillation theorem for second order linear dynamic equations on time scales. Zbl 1193.34179
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
9
2010
Oscillation of \(n\)th order superlinear dynamic equations on time scales. Zbl 1216.34100
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
9
2011
An oscillation theorem for second order superlinear dynamic equations on time scales. Zbl 1297.34100
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
9
2013
Two asymptotic results of solutions for nabla fractional \((q,h)\)-difference equations. Zbl 1424.39047
Du, Feifei; Erbe, Lynn; Jia, Baoguo; Peterson, Allan
9
2018
Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales. Zbl 1191.34109
Erbe, Lynn; Jia, Baoguo; Peterson, Allan
9
2009
Distribution of zeros of solutions of a fourth order differential equation. Zbl 0183.35901
Peterson, A. C.
9
1969
On the sign of Green’s functions. Zbl 0292.34013
Peterson, Allan C.
9
1976
Asymptotic behavior of nabla half order \(h\)-difference equations. Zbl 1457.39005
Jia, Baoguo; Du, Feifei; Erbe, Lynn; Peterson, Allan
9
2018
Oscillation criteria for a forced second-order nonlinear dynamic equation. Zbl 1168.34025
Erbe, L.; Peterson, A.; Saker, S. H.
8
2008
Green’s functions for (k,n-k)-boundary value problems for linear difference equations. Zbl 0621.39001
Peterson, Allan C.
8
1987
Upper bounds for the distances between consecutive zeros of solutions of first order delay differential equations. Zbl 1320.34099
Wu, Hongwu; Erbe, Lynn; Peterson, Allan
8
2015
\(C\)-disfocality for linear Hamiltonian difference systems. Zbl 0818.39003
Peterson, Allan
7
1994
Disconjugacy for a third order linear difference equation. Zbl 0809.39005
Henderson, J.; Peterson, A.
7
1994
A disconjugacy criterion of W. T. Reid for difference equations. Zbl 0744.34037
Peterson, Allan; Ridenhour, Jerry
7
1992
Comparison theorems for a right disfocal eigenvalue problem. Zbl 0882.34079
Diaz, Jerry; Peterson, Allan
7
1994
Nonoscillation for second order sublinear dynamic equations on time scales. Zbl 1187.34128
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
7
2009
Gronwall’s inequality for a nabla fractional difference system with a retarded argument and an application. Zbl 1429.39004
Chen, Churong; Mert, Raziye; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
7
2019
Some Bennett-Copson type inequalities on time scales. Zbl 1339.26067
Saker, S. H.; Mahmoud, R. R.; Peterson, A.
7
2016
A general reduction of order theorem for discrete linear symplectic systems. Zbl 1304.39002
Ahlbrandt, C. D.; Peterson, A. C.
7
1998
Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales. Zbl 1158.34025
Erbe, L.; Peterson, A.; Tisdell, Christopher C.
6
2008
A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators. Zbl 1491.34018
Mert, Raziye; Abdeljawad, Thabet; Peterson, Allan
2
2021
Sturm Liouville equations in the frame of fractional operators with exponential kernels and their discrete versions. Zbl 1429.34007
Abdeljawad, Thabet; Mert, Raziye; Peterson, Allan
10
2019
Gronwall’s inequality for a nabla fractional difference system with a retarded argument and an application. Zbl 1429.39004
Chen, Churong; Mert, Raziye; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
7
2019
Asymptotic behavior of solutions of fractional nabla \(q\)-difference equations. Zbl 1414.39003
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
5
2019
Stability analysis for a class of nabla \((q,h)\)-fractional difference equations. Zbl 1410.39030
Liu, Xiang; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
4
2019
A generalized \(h\)-fractional Gronwall’s inequality and its applications for nonlinear \(h\)-fractional difference systems with ‘maxima’. Zbl 1421.39002
Liu, Xiang; Peterson, Allan; Jia, Baoguo; Erbe, Lynn
4
2019
Two asymptotic results of solutions for nabla fractional \((q,h)\)-difference equations. Zbl 1424.39047
Du, Feifei; Erbe, Lynn; Jia, Baoguo; Peterson, Allan
9
2018
Asymptotic behavior of nabla half order \(h\)-difference equations. Zbl 1457.39005
Jia, Baoguo; Du, Feifei; Erbe, Lynn; Peterson, Allan
9
2018
A unified approach to Copson and Beesack type inequalities on time scales. Zbl 1403.26023
Saker, S. H.; Mahmoud, R. R.; Peterson, A.
6
2018
Monotonicity results for delta fractional differences revisited. Zbl 1505.26016
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
21
2017
The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
13
2017
Liapunov functional and stability of linear nabla \((q,h)\)-fractional difference equations. Zbl 1406.39021
Jia, Baoguo; Chen, Siyuan; Erbe, Lynn; Peterson, Allan
5
2017
Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations. Zbl 1413.39009
Liu, Xiang; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
3
2017
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
33
2016
Weighted Hardy-type inequalities on time scales with applications. Zbl 1342.26064
Saker, S. H.; Mahmoud, R. R.; Peterson, A.
24
2016
Monotonicity and convexity for nabla fractional \((q,h)\)-differences. Zbl 1364.39009
Du, Feifei; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
23
2016
Oscillation of solution to second-order half-linear delay dynamic equations on time scales. Zbl 1345.34150
Wu, Hongwu; Erbe, Lynn; Peterson, Allan
17
2016
Monotonicity and convexity for nabla fractional \(q\)-differences. Zbl 1362.39020
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
12
2016
Some Bennett-Copson type inequalities on time scales. Zbl 1339.26067
Saker, S. H.; Mahmoud, R. R.; Peterson, A.
7
2016
Oscillation criteria for second order sublinear dynamic equations with oscillating coefficients. Zbl 1347.34140
Wu, Hongwu; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
3
2016
Discrete fractional calculus. Zbl 1350.39001
Goodrich, Christopher; Peterson, Allan C.
261
2015
Two monotonicity results for nabla and delta fractional differences. Zbl 1327.39011
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
38
2015
Convexity for nabla and delta fractional differences. Zbl 1320.39003
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
36
2015
Some relations between the Caputo fractional difference operators and integer-order differences. Zbl 1321.39024
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
15
2015
Comparison theorems and asymptotic behavior of solutions of discrete fractional equations. Zbl 1349.39006
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
14
2015
Upper bounds for the distances between consecutive zeros of solutions of first order delay differential equations. Zbl 1320.34099
Wu, Hongwu; Erbe, Lynn; Peterson, Allan
8
2015
A new Picone’s dynamic inequality on time scales with applications. Zbl 1323.26029
Saker, S. H.; Mahmoud, R. R.; Peterson, A.
2
2015
Nabla discrete fractional Grüss type inequality. Zbl 1372.39010
Güvenilir, A. Feza; Kaymakçalan, Billur; Peterson, Allan C.; Taş, Kenan
3
2014
A Butler-type oscillation theorem for second-order dynamic equations on discrete timescales. Zbl 1304.34160
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
1
2014
Oscillation of even order nonlinear delay dynamic equations on time scales. Zbl 1274.34262
Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık
11
2013
An oscillation theorem for second order superlinear dynamic equations on time scales. Zbl 1297.34100
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
9
2013
On the asymptotic behavior of solutions of Emden-Fowler equations on time scales. Zbl 1259.34093
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
14
2012
Spectral parameter power series for Sturm-Liouville equations on time scales. Zbl 1245.34088
Erbe, Lynn; Mert, Raziye; Peterson, Allan
13
2012
Oscillation theorems for second order sublinear dynamic equations on time scales. Zbl 1269.34073
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
4
2012
Asymptotic behavior of \(n\)-th order dynamic equations. Zbl 1279.34106
Erbe, L.; Hovhannisyan, G.; Peterson, A.
2
2012
Oscillation of \(n\)-th order linear dynamic equations on time scales. Zbl 1308.34119
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
1
2012
Kiguradze-type oscillation theorems for second order superlinear dynamic equations on time scales. Zbl 1246.34066
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
12
2011
Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales. Zbl 1229.34135
Erbe, Lynn; Jia, Baoguo; Peterson, Allan
10
2011
Oscillation of \(n\)th order superlinear dynamic equations on time scales. Zbl 1216.34100
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
9
2011
Oscillation criteria for second order sublinear dynamic equations with damping term. Zbl 1228.34146
Hassan, Taher S.; Erbe, Lynn; Peterson, Allan
5
2011
Asymptotic behavior of \(n\)-th order sublinear dynamic equations on time scales. Zbl 1235.34239
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
2
2011
The theory of differential equations. Classical and qualitative. 2nd ed. Zbl 1201.34001
Kelley, Walter G.; Peterson, Allan C.
48
2010
Oscillation of third order nonlinear functional dynamic equations on time scales. Zbl 1213.34116
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
28
2010
Oscillation of third order functional dynamic equations with mixed arguments on time scales. Zbl 1213.34115
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
12
2010
Oscillation of second order superlinear dynamic equations with damping on time scales. Zbl 1189.34133
Hassan, Taher S.; Erbe, Lynn; Peterson, Allan
10
2010
A Wong-type oscillation theorem for second order linear dynamic equations on time scales. Zbl 1193.34179
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
9
2010
Interval oscillation criteria for forced second-order nonlinear delay dynamic equations with oscillatory potential. Zbl 1202.34162
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan; Saker, Samir H.
6
2010
Oscillation of sublinear Emden-Fowler dynamic equations on time scales. Zbl 1191.34107
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
5
2010
Oscillation criteria for half-linear delay dynamic equations on time scales. Zbl 1173.34037
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan; Saker, Samir H.
36
2009
Oscillation criteria for nonlinear functional neutral dynamic equations on time scales. Zbl 1193.34135
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
35
2009
Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales. Zbl 1191.34109
Erbe, Lynn; Jia, Baoguo; Peterson, Allan
9
2009
Nonoscillation for second order sublinear dynamic equations on time scales. Zbl 1187.34128
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
7
2009
Oscillation of a family of \(q\)-difference equations. Zbl 1170.39002
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
5
2009
Oscillation criteria for first order forced dynamic equations. Zbl 1299.34293
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
1
2009
Oscillation criteria for nonlinear damped dynamic equations on time scales. Zbl 1162.39005
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
41
2008
Oscillation criteria for a forced second-order nonlinear dynamic equation. Zbl 1168.34025
Erbe, L.; Peterson, A.; Saker, S. H.
8
2008
Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales. Zbl 1158.34025
Erbe, L.; Peterson, A.; Tisdell, Christopher C.
6
2008
New comparison and oscillation theorems for second-order half-linear dynamic equations on time scales. Zbl 1165.34340
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
4
2008
Oscillation criteria for second-order nonlinear delay dynamic equations. Zbl 1125.34046
Erbe, L.; Peterson, A.; Saker, S. H.
80
2007
Hille and Nehari type criteria for third-order dynamic equations. Zbl 1128.39009
Erbe, L.; Peterson, A.; Saker, S. H.
48
2007
Recent results concerning dynamic equations on time scales. Zbl 1177.34008
Erbe, Lynn; Peterson, Allan
4
2007
Integral comparison theorems for second-order linear dynamic equations. Zbl 1127.39029
Erbe, Lynn; Peterson, Allan; Řehák, Pavel
3
2007
Some new comparison results for second order linear dynamic equations. Zbl 1201.34142
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
2
2007
Oscillation and asymptotic behavior of a third-order nonlinear dynamic equation. Zbl 1145.34329
Erbe, L.; Peterson, A.; Saker, S. H.
29
2006
Henstock-Kurzweil delta and nabla integrals. Zbl 1110.26011
Peterson, Allan; Thompson, Bevan
23
2006
Kamenev-type oscillation criteria for second-order linear delay dynamic equations. Zbl 1104.34026
Erbe, L.; Peterson, A.; Saker, S. H.
18
2006
Hille-Kneser-type criteria for second-order dynamic equations on time scales. Zbl 1229.34136
Erbe, Lynn; Peterson, Allan C.; Saker, Samir H.
11
2006
Delay dynamic equations with stability. Zbl 1134.39011
Anderson, Douglas R.; Krueger, Robert J.; Peterson, Allan C.
9
2006
Monotone solutions of dynamic systems on time scales. Zbl 1098.39010
Erbe, L.; Peterson, A.; Tisdell, C. C.
2
2006
Oscillation for nonlinear second order dynamic equations on a time scale. Zbl 1061.34018
Bohner, Martin; Erbe, Lynn; Peterson, Allan
61
2005
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. Zbl 1075.39010
Erbe, L.; Peterson, A.; Saker, S. H.
50
2005
Exponential stability of dynamic equations on time scales. Zbl 1100.39013
Peterson, Allan C.; Raffoul, Youssef N.
23
2005
Existence of solutions to second-order BVPs on time scales. Zbl 1088.39014
Erbe, Lynn; Peterson, Allan; Tisdell, Christopher C.
9
2005
Square integrability of Gaussian bells on time scales. Zbl 1088.81058
Erbe, L.; Peterson, A.; Simon, M.
3
2005
Comparison theorems of Hille-Wintner type for dynamic equations on time scales. Zbl 1078.39015
Erbe, Lynn; Peterson, Allan
1
2005
Boundedness and oscillation for nonlinear dynamic equations on a time scale. Zbl 1055.39007
Erbe, Lynn; Peterson, Allan
40
2004
Three point boundary value problems on time scales. Zbl 1078.39016
Peterson, A. C.; Raffoul, Y. N.; Tisdell, C. C.
23
2004
On the existence and uniqueness of solutions to boundary value problems on time scales. Zbl 1089.39005
Henderson, Johnny; Peterson, Allan; Tisdell, Christopher C.
21
2004
Boundedness and uniqueness of solutions to dynamic equations on time scales. Zbl 1072.39017
Peterson, Allan C.; Tisdell, Christopher C.
20
2004
Cauchy functions and Taylor’s formula for time scales \(\mathbb T\). Zbl 1065.39032
Higgins, Raegan J.; Peterson, Allan
6
2004
Some recent results in linear and nonlinear oscillation. Zbl 1073.34033
Erbe, Lynn; Peterson, Allan
1
2004
Advances in dynamic equations on time scales. Zbl 1025.34001
2003
Oscillation criteria for second-order nonlinear dynamic equations on time scales. Zbl 1050.34042
Erbe, Lynn; Peterson, Allan; Saker, S. H.
75
2003
Nabla dynamic equations on time scales. Zbl 1032.39007
Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam
28
2003
Oscillation of an Euler-Cauchy dynamic equation. Zbl 1052.39007
Huff, S.; Olumolode, G.; Pennington, N.; Peterson, A.
10
2003
An oscillation result for a nonlinear dynamic equation on a time scale. Zbl 1086.39004
Erbe, Lynn; Peterson, Allan
5
2003
Dynamic equations on time scales: A survey. Zbl 1020.39008
Agarwal, Ravi; Bohner, Martin; O’Regan, Donal; Peterson, Allan
277
2002
Comparison theorems for linear dynamic equations on time scales. Zbl 1034.34042
Erbe, Lynn; Peterson, Allan; Řehák, Pavel
37
2002
Oscillation criteria for second-order matrix dynamic equations on a time scale. Zbl 1017.34030
Erbe, Lynn; Peterson, Allan
36
2002
Laplace transform and \(Z\)-transform: Unification and extension. Zbl 1031.44001
Bohner, Martin; Peterson, Allan
17
2002
Averaging techniques for self-adjoint matrix equations on a measure chain. Zbl 1014.39005
Erbe, Lynn; Peterson, Allan
3
2002
Existence of bounded solutions for second order dynamic equations. Zbl 1005.39018
Akin, Elvan; Bohner, Martin; Erbe, Lynn; Peterson, Allan
2
2002
Prediction of swerving motion of a dual-spin projectile with lateral pulse jets in atmospheric flight. Zbl 1054.70021
Burchett, B.; Peterson, A.; Costello, M.
1
2002
Dynamic equations on time scales. An introduction with applications. Zbl 0978.39001
Bohner, Martin; Peterson, Allan
2001
Inequalities on time scales: a survey. Zbl 1021.34005
Agarwal, R.; Bohner, M.; Peterson, A.
343
2001
Difference equations. An introduction with applications. 2nd ed. Zbl 0970.39001
Kelley, Walter G.; Peterson, Allan C.
189
2001
Three positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1005.47051
Avery, R. I.; Peterson, A. C.
171
2001
First and second order linear dynamic equations on time scales. Zbl 0993.39010
Bohner, Martin; Peterson, Allan
104
2001
A survey of exponential function on times scales. Zbl 1074.39018
Bohner, Martin; Peterson, Allan
23
2001
Riccati equations on a measure chain. Zbl 1008.34006
Erbe, Lynn; Peterson, Allan
17
2001
...and 59 more Documents
all top 5

Cited by 2,434 Authors

122 Agarwal, Ravi P.
113 Bohner, Martin J.
80 Peterson, Allan C.
64 Henderson, Johnny Lee
61 Erbe, Lynn Harry
61 O’Regan, Donal
61 Saker, Samir H.
57 Anderson, Douglas Robert
48 Li, Yongkun
43 Li, Tongxing
43 Šimon Hilscher, Roman
42 Torres, Delfim Fernando Marado
41 Abdeljawad, Thabet
41 Goodrich, Christopher S.
39 Ge, Weigao
39 Wang, Chao
37 Grace, Said Rezk
35 Băleanu, Dumitru I.
35 Wong, Patricia J. Y.
33 Jia, Baoguo
32 Wang, Qiru
28 Sun, Shurong
27 Hassan, Taher S.
26 Eldeeb, Ahmed Abdel-Moneim
26 Han, Zhenlai
26 Ma, Ruyun
25 Došlý, Ondřej
25 Merdivenci Atici, Ferhan
24 Mesquita, Jaqueline Godoy
24 Shi, Haiping
23 Li, Wan-Tong
22 Liu, Xia
22 Meng, Fanwei
22 Nosheen, Ammara
22 Zeidan, Vera Michel
21 Abbas, Syed
21 Eloe, Paul W.
21 Jonnalagadda, Jagan Mohan
21 Karpuz, Başak
21 Kaymakçalan, Billur
21 Pečarić, Josip
21 Tisdell, Christopher C.
20 Ardjouni, Abdelouaheb
20 Raffoul, Youssef Naim
19 Alzabut, Jehad O.
19 Bartosiewicz, Zbigniew
19 Sun, Jianping
19 Yaslan Karaca, Ilkay
18 Davis, John M.
18 Guseinov, Gusein Sh.
18 Hasil, Petr
18 Prasad, Kapula Rajendra
18 Qiu, Yangcong
18 Řehák, Pavel
18 Wu, Guocheng
18 Yu, Jian-She
18 Zhang, Chenghui
18 Zhang, Yuanbiao
17 Cabada, Alberto
17 Ouannas, Adel
17 Shi, Yuming
17 Sun, Hongrui
16 Avery, Richard I.
16 Djoudi, Ahcene
16 Khan, Khuram Ali
16 Malinowska, Agnieszka Barbara
15 Graef, John R.
15 Malik, Muslim
15 Slavík, Antonín
15 Su, Youhui
15 Vesely, Michal
15 Zhang, Yi
15 Zhou, Zhan
14 Akin, Elvan
14 Jadlovská, Irena
14 Jankowski, Tadeusz
14 Khennaoui, Amina-Aicha
14 Lizama, Carlos
14 Sitthiwirattham, Thanin
14 Zada, Akbar
13 Adivar, Murat
13 Gao, Chenghua
13 Otero-Espinar, Maria Victoria
13 Rezk, Haytham M.
13 Tang, Xianhua
13 Tuna, Hüseyin
12 Djemai, Mohamed
12 Feng, Qinghua
12 Grassi, Giuseppe
12 Guo, Zhiming
12 Kumar, Vipin
12 Li, Weinian
12 Martins, Natália F.
12 Ntouyas, Sotiris K.
12 Oganesyan, Gro R.
12 Rashid, Saima
12 Samei, Mohammad Esmael
12 Schmeidel, Ewa L.
12 Sun, Taixiang
12 Vivero, Dolores R.
...and 2,334 more Authors
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Cited in 356 Serials

337 Advances in Difference Equations
197 Journal of Mathematical Analysis and Applications
162 Applied Mathematics and Computation
157 Computers & Mathematics with Applications
154 Journal of Difference Equations and Applications
115 Abstract and Applied Analysis
89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
83 Discrete Dynamics in Nature and Society
82 Applied Mathematics Letters
73 Journal of Inequalities and Applications
70 Journal of Computational and Applied Mathematics
57 Mathematical and Computer Modelling
56 Journal of Applied Mathematics and Computing
48 Boundary Value Problems
46 Rocky Mountain Journal of Mathematics
34 Turkish Journal of Mathematics
32 Journal of Differential Equations
29 Mathematical Methods in the Applied Sciences
28 Qualitative Theory of Dynamical Systems
27 Mediterranean Journal of Mathematics
26 Chaos, Solitons and Fractals
26 Proceedings of the American Mathematical Society
26 Communications in Nonlinear Science and Numerical Simulation
26 Journal of Function Spaces
24 Fractional Calculus & Applied Analysis
23 Fractals
22 Nonlinear Analysis. Hybrid Systems
21 Linear Algebra and its Applications
21 Differential Equations and Dynamical Systems
20 Applicable Analysis
20 Mathematica Slovaca
20 Filomat
20 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
19 Journal of Applied Mathematics
18 Differential Equations and Applications
17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
16 Acta Applicandae Mathematicae
16 Journal of Mathematical Sciences (New York)
16 Journal of Nonlinear Science and Applications
14 Journal of Mathematical Physics
14 Results in Mathematics
13 Mathematische Nachrichten
13 Hacettepe Journal of Mathematics and Statistics
13 International Journal of Differential Equations
13 Journal of Applied Analysis and Computation
12 Mathematical Problems in Engineering
12 Open Mathematics
11 Opuscula Mathematica
11 Nonlinear Analysis. Real World Applications
11 Journal of Mathematical Inequalities
10 Acta Mathematicae Applicatae Sinica. English Series
10 Nonlinear Analysis. Modelling and Control
9 Ukrainian Mathematical Journal
9 Computational and Applied Mathematics
9 Mathematical Biosciences and Engineering
9 Journal of Fixed Point Theory and Applications
8 Journal of the Franklin Institute
8 Quaestiones Mathematicae
8 Systems & Control Letters
8 Neural Networks
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Chaos
8 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
8 Analysis (München)
8 Kragujevac Journal of Mathematics
8 Cubo
8 Discrete and Continuous Dynamical Systems. Series S
8 Nonautonomous Dynamical Systems
8 Nonlinear Analysis. Theory, Methods & Applications
8 AIMS Mathematics
7 International Journal of Control
7 Indian Journal of Pure & Applied Mathematics
7 Journal of Optimization Theory and Applications
7 MCSS. Mathematics of Control, Signals, and Systems
7 Georgian Mathematical Journal
7 International Journal of Nonlinear Sciences and Numerical Simulation
7 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Advances in Mathematical Physics
6 Demonstratio Mathematica
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Tatra Mountains Mathematical Publications
6 Electronic Journal of Differential Equations (EJDE)
6 Complexity
6 Arab Journal of Mathematical Sciences
6 Mathematical Inequalities & Applications
6 Discrete and Continuous Dynamical Systems. Series B
6 Science China. Mathematics
5 Acta Mathematica Vietnamica
5 International Journal of Mathematics and Mathematical Sciences
5 Journal of Approximation Theory
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Aequationes Mathematicae
5 Indagationes Mathematicae. New Series
5 International Applied Mechanics
5 Integral Transforms and Special Functions
5 Boletín de la Sociedad Matemática Mexicana. Third Series
5 Positivity
5 Boletim da Sociedade Paranaense de Matemática. Terceira Série
5 Communications in Mathematical Analysis
...and 256 more Serials
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Cited in 56 Fields

1,956 Ordinary differential equations (34-XX)
1,344 Difference and functional equations (39-XX)
752 Real functions (26-XX)
380 Operator theory (47-XX)
190 Systems theory; control (93-XX)
156 Dynamical systems and ergodic theory (37-XX)
148 Biology and other natural sciences (92-XX)
103 Partial differential equations (35-XX)
89 Numerical analysis (65-XX)
81 Integral equations (45-XX)
70 Calculus of variations and optimal control; optimization (49-XX)
42 Integral transforms, operational calculus (44-XX)
37 Mechanics of particles and systems (70-XX)
35 Special functions (33-XX)
35 Global analysis, analysis on manifolds (58-XX)
28 Abstract harmonic analysis (43-XX)
26 Probability theory and stochastic processes (60-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Functional analysis (46-XX)
21 Quantum theory (81-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
19 Combinatorics (05-XX)
19 Number theory (11-XX)
19 Measure and integration (28-XX)
18 Sequences, series, summability (40-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
17 Operations research, mathematical programming (90-XX)
15 Information and communication theory, circuits (94-XX)
14 Statistics (62-XX)
12 Mechanics of deformable solids (74-XX)
11 Approximations and expansions (41-XX)
11 Computer science (68-XX)
10 Functions of a complex variable (30-XX)
8 Differential geometry (53-XX)
8 General topology (54-XX)
7 Fluid mechanics (76-XX)
5 General and overarching topics; collections (00-XX)
4 Mathematics education (97-XX)
3 Field theory and polynomials (12-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Associative rings and algebras (16-XX)
2 Potential theory (31-XX)
2 Manifolds and cell complexes (57-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)

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