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Author ID: erbe.lynn-h Recent zbMATH articles by "Erbe, Lynn Harry"
Published as: Erbe, Lynn; Erbe, L. H.; Erbe, L.; Erbe, Lynn H.
External Links: MGP
Documents Indexed: 251 Publications since 1969, including 1 Book and 2 Additional arXiv Preprints
9 Contributions as Editor
Reviewing Activity: 2 Reviews
Biographic References: 1 Publication
Co-Authors: 70 Co-Authors with 222 Joint Publications
2,903 Co-Co-Authors
all top 5

Serials

18 Journal of Difference Equations and Applications
16 Journal of Mathematical Analysis and Applications
11 Rocky Mountain Journal of Mathematics
11 Proceedings of the American Mathematical Society
10 The Canadian Applied Mathematics Quarterly
8 Applied Mathematics and Computation
8 Canadian Mathematical Bulletin
7 Dynamic Systems and Applications
7 Differential Equations and Dynamical Systems
7 Nonlinear Analysis. Theory, Methods & Applications
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Differential Equations
5 Applicable Analysis
5 Journal of Computational and Applied Mathematics
5 Pacific Journal of Mathematics
5 Differential and Integral Equations
5 SIAM Journal on Mathematical Analysis
4 Computers & Mathematics with Applications
4 Annales Polonici Mathematici
4 Electronic Journal of Differential Equations (EJDE)
4 Communications in Applied Analysis
3 Bulletin of the Australian Mathematical Society
3 Funkcialaj Ekvacioj. Serio Internacia
3 Hiroshima Mathematical Journal
3 Applied Mathematics Letters
3 Mathematical and Computer Modelling
3 Electronic Journal of Qualitative Theory of Differential Equations
3 Advances in Difference Equations
2 Journal of the Australian Mathematical Society, Series B
2 Journal of Mathematical and Physical Sciences
2 Canadian Journal of Mathematics
2 Czechoslovak Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the American Mathematical Society
2 Utilitas Mathematica
2 Journal of Integral Equations and Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Turkish Journal of Mathematics
2 Mathematical Inequalities & Applications
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Nonlinear Dynamics and Systems Theory
2 Journal of Applied Analysis and Computation
1 Mathematical Biosciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Archiv der Mathematik
1 Chinese Journal of Mathematics
1 Indian Journal of Mathematics
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Results in Mathematics
1 Journal of Applied Mathematics and Stochastic Analysis
1 Bulletin of the Allahabad Mathematical Society
1 Panamerican Mathematical Journal
1 Bulletin de la Société Mathématique de Belgique. Série A
1 Georgian Mathematical Journal
1 Filomat
1 ETNA. Electronic Transactions on Numerical Analysis
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Acta Mathematica Sinica. English Series
1 Journal of Applied Mathematics and Computing
1 Mediterranean Journal of Mathematics
1 Pure and Applied Mathematics, Marcel Dekker
1 Applicable Analysis and Discrete Mathematics

Publications by Year

Citations contained in zbMATH Open

212 Publications have been cited 3,864 times in 2,380 Documents Cited by Year
On the existence of positive solutions of ordinary differential equations. Zbl 0802.34018
Erbe, L. H.; Wang, Haiyan
291
1994
Oscillation theory for functional differential equations. Zbl 0821.34067
Erbe, L. H.; Kong, Qingkai; Zhang, B. G.
162
1994
Multiple positive solutions of some boundary value problems. Zbl 0805.34021
Erbe, L. H.; Hu, Shouchuan; Wang, Haiyan
160
1994
Oscillation of discrete analogues of delay equations. Zbl 0723.39004
Erbe, L. H.; Zhang, B. G.
113
1989
Positive solutions for a nonlinear differential equation on a measure chain. Zbl 0963.34020
Erbe, L.; Peterson, A.
108
2000
Oscillation criteria for second-order nonlinear delay dynamic equations. Zbl 1125.34046
Erbe, L.; Peterson, A.; Saker, S. H.
80
2007
Comparison principles for impulsive parabolic equations with applications to models of single species growth. Zbl 0881.35006
Erbe, L. H.; Freedman, H. I.; Liu, X. Z.; Wu, Jianhong
79
1991
Oscillation criteria for second-order nonlinear dynamic equations on time scales. Zbl 1050.34042
Erbe, Lynn; Peterson, Allan; Saker, S. H.
76
2003
Sturmian theory on measure chains. Zbl 0868.39007
Erbe, Lynn; Hilger, Stefan
72
1993
Green’s functions and comparison theorems for differential equations on measure chains. Zbl 0938.34027
Erbe, Lynn; Peterson, Allan
71
1999
Global stability of a linear nonautonomous delay difference equation. Zbl 0855.39007
Erbe, L. H.; Xia, H.
66
1995
Oscillation for nonlinear second order dynamic equations on a time scale. Zbl 1061.34018
Bohner, Martin; Erbe, Lynn; Peterson, Allan
62
2005
Riccati techniques and variational principles in oscillation theory for linear systems. Zbl 0648.34031
Butler, G. J.; Erbe, L. H.; Mingarelli, A. B.
61
1987
Kamenev type theorems for second order matrix differential systems. Zbl 0777.34024
Erbe, Lynn H.; Kong, Qingkai; Ruan, Shigui
56
1993
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. Zbl 1075.39010
Erbe, L.; Peterson, A.; Saker, S. H.
51
2005
Hille and Nehari type criteria for third-order dynamic equations. Zbl 1128.39009
Erbe, L.; Peterson, A.; Saker, S. H.
50
2007
Riccati techniques and discrete oscillations. Zbl 0686.39001
Chen, Shaozhu; Erbe, Lynn H.
50
1989
Oscillation criteria for second order linear equations on a time scale. Zbl 1050.39024
Erbe, L.
49
2001
Three-species food-chain models with mutual interference and time delays. Zbl 0592.92024
Erbe, L. H.; Freedman, H. I.; Sree Hari Rao, V.
49
1986
Oscillation for first order linear differential equations with deviating arguments. Zbl 0723.34055
Erbe, L. H.; Zhang, B. G.
48
1988
\(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations. Zbl 0765.34023
Erbe, L. H.; Krawcewicz, W.; Gȩba, K.; Wu, J.
44
1992
Disconjugacy for linear Hamiltonian difference systems. Zbl 0762.39003
Erbe, Lynn H.; Yan, Pengxiang
43
1992
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
Two monotonicity results for nabla and delta fractional differences. Zbl 1327.39011
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
40
2015
Oscillation criteria for second order nonlinear delay equations. Zbl 0272.34095
Erbe, Lynn
39
1973
Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems. Zbl 0970.34019
Erbe, L.
39
2000
Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball. Zbl 0884.34025
Erbe, Lynn; Tang, Moxun
38
1997
Convexity for nabla and delta fractional differences. Zbl 1320.39003
Baoguo, Jia; 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
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
37
2016
Oscillation criteria for half-linear delay dynamic equations on time scales. Zbl 1173.34037
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan; Saker, Samir H.
37
2009
Oscillation criteria for second-order matrix dynamic equations on a time scale. Zbl 1017.34030
Erbe, Lynn; Peterson, Allan
36
2002
Existence of solutions to boundary value problems for second order differential equations. Zbl 0517.34018
Erbe, L. H.
35
1982
Oscillation criteria for nonlinear functional neutral dynamic equations on time scales. Zbl 1193.34135
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
35
2009
Boundary value problems for singular second-order functional differential equations. Zbl 0816.34046
Erbe, L. H.; Kong, Qingkai
34
1994
Existence results for boundary value problems of second order impulsive differential equations. Zbl 0711.34027
Erbe, Lynn H.; Liu, Xinzhi
33
1990
Oscillation and nonoscillation for systems of self-adjoint second-order difference equations. Zbl 0687.39001
Chen, Shaozhu; Erbe, Lynn H.
32
1989
Nabla dynamic equations on time scales. Zbl 1032.39007
Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam
32
2003
Eigenvalue conditions and positive solutions. Zbl 0949.34015
Erbe, Lynn; Peterson, Allan
31
2000
Positive solutions for singular nonlinear boundary value problems. Zbl 1007.34020
Erbe, Lynn H.; Mathsen, Ronald M.
30
2001
Oscillation and asymptotic behavior of a third-order nonlinear dynamic equation. Zbl 1145.34329
Erbe, L.; Peterson, A.; Saker, S. H.
29
2006
Oscillation of third order nonlinear functional dynamic equations on time scales. Zbl 1213.34116
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
29
2010
Multiplicity of positive solutions for higher order Sturm-Liouville problems. Zbl 0989.34012
Davis, John M.; Erbe, Lynn H.; Henderson, Johnny
28
2001
Nonlinear boundary value problems for second order differential equations. Zbl 0284.34017
Erbe, Lynn H.
27
1970
Existence and multiplicity of positive solutions to nonlinear boundary value problems. Zbl 0868.35035
Erbe, Lynn H.; Tang, M.
27
1996
Nonlinear boundary value problems for differential inclusions \(y''\in F(t,y,y')\). Zbl 0731.34078
Erbe, L. H.; Krawcewicz, W.
27
1991
Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations. Zbl 0339.34030
Erbe, L.
26
1976
Oscillation of second order linear difference equations. Zbl 0692.39001
Erbe, L. H.; Zhang, B. G.
25
1988
Homoclinic solutions of discrete nonlinear systems via variational method. Zbl 1462.39003
Erbe, Lynn; Jia, Baoguo; Zhang, Qinqin
25
2019
Monotonicity and convexity for nabla fractional \((q,h)\)-differences. Zbl 1364.39009
Du, Feifei; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
24
2016
Structure of positive radial solutions of semilinear elliptic equations. Zbl 0871.34023
Erbe, Lynn; Tang, Moxun
23
1997
Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations. Zbl 0345.34023
Erbe, L.
23
1976
Monotonicity results for delta fractional differences revisited. Zbl 1505.26016
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
23
2017
Existence of solutions to boundary value problems for impulsive second order differential inclusions. Zbl 0784.34012
Erbe, L.; Krawcewicz, W.
22
1992
Comparison theorems and asymptotic behavior of solutions of discrete fractional equations. Zbl 1349.39006
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
22
2015
Oscillation results for second order differential systems. Zbl 0583.34027
Butler, G. J.; Erbe, L. H.
21
1986
Oscillation of solution to second-order half-linear delay dynamic equations on time scales. Zbl 1345.34150
Wu, Hongwu; Erbe, Lynn; Peterson, Allan
21
2016
Oscillation results for second-order linear equations on a time scale. Zbl 1021.34012
Erbe, L.
19
2002
Oscillation results for selfadjoint differential systems. Zbl 0588.34025
Butler, G. J.; Erbe, L. H.
19
1986
Qualitative properties of Hamiltonian difference systems. Zbl 0768.39001
Erbe, Lynn H.; Yan, Pengxiang
18
1992
Kamenev-type oscillation criteria for second-order linear delay dynamic equations. Zbl 1104.34026
Erbe, L.; Peterson, A.; Saker, S. H.
18
2006
Riccati equations on a measure chain. Zbl 1008.34006
Erbe, Lynn; Peterson, Allan
17
2001
Existence and nonexistence of positive solutions for elliptic equations in an annulus. Zbl 0900.35144
Erbe, L. H.; Wang, Haiyan
17
1994
Some relations between the Caputo fractional difference operators and integer-order differences. Zbl 1321.39024
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
16
2015
A composite coincidence degree with applications to boundary value problems of neutral equations. Zbl 0770.34053
Erbe, L. H.; Krawcewicz, W.; Wu, J. H.
15
1993
On the asymptotic behavior of solutions of Emden-Fowler equations on time scales. Zbl 1259.34093
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
15
2012
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
The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
14
2017
Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay. Zbl 1403.39003
Chen, Churong; Jia, Baoguo; Liu, Xiang; Erbe, Lynn
14
2018
Weighted averaging techniques in oscillation theory for second order difference equations. Zbl 0762.39002
Erbe, Lynn H.; Yan, Pengxiang
13
1992
Oscillation of even order nonlinear delay dynamic equations on time scales. Zbl 1274.34262
Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık
13
2013
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 nonlinear differential equations. Zbl 0194.12102
Erbe, L.
13
1970
Oscillation theorems for second order linear differential equations. Zbl 0185.15903
Erbe, L.
13
1970
Monotonicity and convexity for nabla fractional \(q\)-differences. Zbl 1362.39020
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
13
2016
Bounded and zero-convergent solutions of a class of Stieltjes integro- differential equations. Zbl 0739.45005
Chen, Shaozhu; Huang, Qingguang; Erbe, L. H.
12
1991
Oscillation results for second order scalar and matrix difference equations. Zbl 0807.39003
Chen, S.-Z.; Erbe, L.
12
1994
Kiguradze-type oscillation theorems for second order superlinear dynamic equations on time scales. Zbl 1246.34066
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
12
2011
Quasi-solutions of nonlinear impulsive equations in abstract cones. Zbl 0662.34015
Erbe, L. H.; Liu, Xinzhi
12
1989
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
Modeling persistence and mutual interference among subpopulations of ecological communities. Zbl 0571.92026
Erbe, L. H.; Freedman, H. I.
11
1985
Oscillation results for a dynamic equation on a time scale. Zbl 1002.39024
Akin, Elvan; Erbe, Lynn; Peterson, Allan; Kaymakçalan, Billur
11
2001
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
Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales. Zbl 1229.34135
Erbe, Lynn; Jia, Baoguo; Peterson, Allan
11
2011
Asymptotic behavior of nabla half order \(h\)-difference equations. Zbl 1457.39005
Jia, Baoguo; Du, Feifei; Erbe, Lynn; Peterson, Allan
11
2018
Uniqueness of positive radial solutions of \(\Delta u+f(| x| ,u)=0\). Zbl 1131.35334
Erbe, Lynn; Tang, Moxun
10
1998
Leray-Schauder degree for semilinear Fredholm maps and periodic boundary value problems of neutral equations. Zbl 0729.47058
Erbe, L. H.; Krawcewicz, W.; Wu, J.
10
1990
Existence of solutions to second-order BVPs on time scales. Zbl 1088.39014
Erbe, Lynn; Peterson, Allan; Tisdell, Christopher C.
10
2005
Boundary value problems for ordinary differential equations. Zbl 0242.34022
Erbe, Lynn
10
1971
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 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
10
2009
Two asymptotic results of solutions for nabla fractional \((q,h)\)-difference equations. Zbl 1424.39047
Du, Feifei; Erbe, Lynn; Jia, Baoguo; Peterson, Allan
10
2018
On the discrete Riccati equation and its applications to discrete Hamiltonian systems. Zbl 0836.39003
Erbe, Lynn H.; Yan, Pengxiang
9
1995
On radial solutions of some semilinear elliptic equations. Zbl 0721.35020
Erbe, Lynn; Schmitt, Klaus
9
1988
Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form \(y''=g(t,y,y',y'')\). Zbl 0728.34004
Erbe, L. H.; Krawcewicz, W.; Kaczynski, T.
9
1990
An oscillation theorem for second order superlinear dynamic equations on time scales. Zbl 1297.34100
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
9
2013
Oscillation of \(n\)th order superlinear dynamic equations on time scales. Zbl 1216.34100
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
9
2011
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 criteria for second order nonlinear differential equations. Zbl 0296.34026
Erbe, L.
8
1972
Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions. Zbl 1428.39009
Liu, Xiang; Jia, Baoguo; Gensler, Scott; Erbe, Lynn; Peterson, Allan
1
2020
Homoclinic solutions of discrete nonlinear systems via variational method. Zbl 1462.39003
Erbe, Lynn; Jia, Baoguo; Zhang, Qinqin
25
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
8
2019
Asymptotic behavior of solutions of fractional nabla \(q\)-difference equations. Zbl 1414.39003
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
6
2019
Stability analysis for a class of nabla \((q,h)\)-fractional difference equations. Zbl 1410.39030
Liu, Xiang; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
5
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
Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay. Zbl 1403.39003
Chen, Churong; Jia, Baoguo; Liu, Xiang; Erbe, Lynn
14
2018
Asymptotic behavior of nabla half order \(h\)-difference equations. Zbl 1457.39005
Jia, Baoguo; Du, Feifei; Erbe, Lynn; Peterson, Allan
11
2018
Two asymptotic results of solutions for nabla fractional \((q,h)\)-difference equations. Zbl 1424.39047
Du, Feifei; Erbe, Lynn; Jia, Baoguo; Peterson, Allan
10
2018
Monotonicity results for delta fractional differences revisited. Zbl 1505.26016
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
23
2017
The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
14
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
Oscillation criteria for second order superlinear dynamic equations with oscillating coefficients. Zbl 1373.34134
Wu, Hongwu; Jia, Baoguo; Erbe, Lynn
1
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
37
2016
Monotonicity and convexity for nabla fractional \((q,h)\)-differences. Zbl 1364.39009
Du, Feifei; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
24
2016
Oscillation of solution to second-order half-linear delay dynamic equations on time scales. Zbl 1345.34150
Wu, Hongwu; Erbe, Lynn; Peterson, Allan
21
2016
Monotonicity and convexity for nabla fractional \(q\)-differences. Zbl 1362.39020
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
13
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
Two monotonicity results for nabla and delta fractional differences. Zbl 1327.39011
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
40
2015
Convexity for nabla and delta fractional differences. Zbl 1320.39003
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
38
2015
Comparison theorems and asymptotic behavior of solutions of discrete fractional equations. Zbl 1349.39006
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
22
2015
Some relations between the Caputo fractional difference operators and integer-order differences. Zbl 1321.39024
Jia, Baoguo; Erbe, Lynn; Peterson, Allan
16
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
Theorems of Kiguradze-type and Belohorec-type revisited on time scales. Zbl 1318.34123
Wu, Hongwu; Jia, Baoguo; Erbe, Lynn
3
2015
A generalized Halanay-type inequality on time scales. Zbl 1335.34146
Ou, Boqun; Jia, Baoguo; Erbe, Lynn
2
2015
An extended Halanay inequality of integral type on time scales. Zbl 1349.34397
Ou, Boqun; Jia, Baoguo; Erbe, Lynn
2
2015
A Wong-type necessary and sufficient condition for nonoscillation of second order linear dynamic equations on time scales. Zbl 1343.34208
Erbe, Lynn; Mert, Raziye
3
2014
A Halanay-type inequality on time scales in higher dimensional spaces. Zbl 1301.34114
Jia, Baoguo; Erbe, Lynn; Mert, Raziye
1
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
13
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 distance between consecutive zeros of solutions of first order delay differential equations. Zbl 1293.34083
Wu, Hong-Wu; Erbe, Lynn
4
2013
New oscillation criteria for second order sublinear dynamic equations. Zbl 1302.34135
Erbe, Lynn; Hassan, Taher S.
2
2013
On the asymptotic behavior of solutions of Emden-Fowler equations on time scales. Zbl 1259.34093
Erbe, Lynn; Baoguo, Jia; Peterson, Allan
15
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
11
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
Oscillation for a nonlinear dynamic system on time scales. Zbl 1232.34124
Erbe, Lynn; Mert, Raziye
3
2011
Asymptotic behavior of \(n\)-th order sublinear dynamic equations on time scales. Zbl 1235.34239
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
2
2011
Oscillation of third order nonlinear functional dynamic equations on time scales. Zbl 1213.34116
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
29
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.
37
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
10
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
Some new oscillation results for a nonlinear dynamic system on time scales. Zbl 1185.34141
Erbe, Lynn; Mert, Raziye
4
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.
50
2007
On systems of boundary value problems for differential inclusions. Zbl 1126.34012
Erbe, Lynn; Tisdell, Christopher C.; Wong, Patricia J. Y.
6
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
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
On two point boundary value problems for second order differential inclusions. Zbl 1112.34008
Erbe, Lynn; Ma, Ruyun; Tisdell, Christopher C.
6
2006
A telescoping principle for oscillation of second order differential equations on a time scale. Zbl 1156.34021
Erbe, Lynn; Kong, Lingju; Kong, Qingkai
4
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
62
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.
51
2005
Existence of solutions to second-order BVPs on time scales. Zbl 1088.39014
Erbe, Lynn; Peterson, Allan; Tisdell, Christopher C.
10
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
Some recent results in linear and nonlinear oscillation. Zbl 1073.34033
Erbe, Lynn; Peterson, Allan
1
2004
Oscillation criteria for second-order nonlinear dynamic equations on time scales. Zbl 1050.34042
Erbe, Lynn; Peterson, Allan; Saker, S. H.
76
2003
Nabla dynamic equations on time scales. Zbl 1032.39007
Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam
32
2003
An oscillation result for a nonlinear dynamic equation on a time scale. Zbl 1086.39004
Erbe, Lynn; Peterson, Allan
5
2003
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
Oscillation results for second-order linear equations on a time scale. Zbl 1021.34012
Erbe, L.
19
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
Positive and monotone solutions of a boundary value problem for second order singular ordinary differential equations. Zbl 1231.34037
Erbe, L. H.; Palamides, P. K.
1
2002
Oscillation criteria for second order linear equations on a time scale. Zbl 1050.39024
Erbe, L.
49
2001
Positive solutions for singular nonlinear boundary value problems. Zbl 1007.34020
Erbe, Lynn H.; Mathsen, Ronald M.
30
2001
Multiplicity of positive solutions for higher order Sturm-Liouville problems. Zbl 0989.34012
Davis, John M.; Erbe, Lynn H.; Henderson, Johnny
28
2001
Riccati equations on a measure chain. Zbl 1008.34006
Erbe, Lynn; Peterson, Allan
17
2001
Oscillation results for a dynamic equation on a time scale. Zbl 1002.39024
Akin, Elvan; Erbe, Lynn; Peterson, Allan; Kaymakçalan, Billur
11
2001
Factoring linear differential operators on measure chains. Zbl 1001.34029
Erbe, Lynn H.; Mathsen, Ronald M.; Peterson, Allan
3
2001
Positive solutions for a nonlinear differential equation on a measure chain. Zbl 0963.34020
Erbe, L.; Peterson, A.
108
2000
Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems. Zbl 0970.34019
Erbe, L.
39
2000
Eigenvalue conditions and positive solutions. Zbl 0949.34015
Erbe, Lynn; Peterson, Allan
31
2000
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
...and 112 more Documents
all top 5

Cited by 1,880 Authors

107 Agarwal, Ravi P.
91 Erbe, Lynn Harry
62 O’Regan, Donal
54 Peterson, Allan C.
50 Li, Tongxing
49 Wong, Patricia J. Y.
42 Bohner, Martin J.
42 Grace, Said Rezk
40 Saker, Samir H.
37 Chatzarakis, George E.
37 Henderson, Johnny Lee
34 Graef, John R.
33 Ge, Weigao
31 Goodrich, Christopher S.
30 Meng, Fanwei
30 Wang, Qiru
28 Džurina, Jozef
28 Jia, Baoguo
28 Ma, Ruyun
25 Han, Zhenlai
25 Hassan, Taher S.
25 Thandapani, Ethiraju
25 Zhang, Binggen
24 Kong, Qingkai
23 Tang, Xianhua
23 Yu, Jian-She
22 Anderson, Douglas Robert
22 Zhang, Chenghui
20 Stavroulakis, Ioannis P.
20 Zhou, Zhan
19 Liu, Xinzhi
19 Sun, Shurong
18 Li, Wan-Tong
17 Baculíková, Blanka
17 Kong, Lingju
17 Liu, Lishan
17 Wu, Jianhong
16 Benchohra, Mouffak
16 Diblík, Josef
16 Eloe, Paul W.
16 Karpuz, Başak
16 Wong, Fu-Hsiang
15 Braverman, Elena
15 Ntouyas, Sotiris K.
15 Ocalan, Ozkan
15 Sun, Yuangong
14 Jadlovská, Irena
14 Krawcewicz, Wieslaw Z.
14 Li, Yongxiang
14 Shen, Jianhua
14 Zhou, Yong
13 Alzabut, Jehad O.
13 Šimon Hilscher, Roman
13 Wang, Haiyan
13 Wong, James S. W.
12 Došlá, Zuzana
12 Liu, Haidong
12 Liu, Yuji
12 Tisdell, Christopher C.
11 Cabada, Alberto
11 Jiang, Daqing
11 Li, Weinian
11 Marini, Mauro
11 Merdivenci Atici, Ferhan
11 Shi, Haiping
11 Sitthiwirattham, Thanin
11 Sun, Jianping
11 Sun, Taixiang
11 Wu, Yonghong
10 Abbas, Syed
10 Abdeljawad, Thabet
10 Bainov, Drumi Dimitrov
10 Baoguo, Jia
10 Berezansky, Leonid M.
10 Došlý, Ondřej
10 Feng, Qinghua
10 Parhi, Narahari
10 Prasad, Kapula Rajendra
10 Řehák, Pavel
10 Thompson, Harold Bevan
10 Wu, Hongwu
10 Zafer, Ağacık
10 Zhang, Quanxin
10 Zheng, Zhaowen
9 Băleanu, Dumitru I.
9 Cecchi, Mariella
9 Du, Feifei
9 El-Morshedy, Hassan A.
9 Eldeeb, Ahmed Abdel-Moneim
9 Feng, Meiqiang
9 Hasil, Petr
9 Lalli, Bikkar S.
9 Li, Yongkun
9 Lizama, Carlos
9 Papageorgiou, Nikolaos S.
9 Sun, Jingxian
9 Tiryaki, Aydin
9 Yan, Jurang
9 Yang, Qigui
8 Freedman, Herbert Irving
...and 1,780 more Authors
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Cited in 268 Serials

244 Journal of Mathematical Analysis and Applications
155 Computers & Mathematics with Applications
141 Applied Mathematics and Computation
131 Advances in Difference Equations
124 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
83 Applied Mathematics Letters
71 Journal of Difference Equations and Applications
66 Abstract and Applied Analysis
64 Journal of Computational and Applied Mathematics
61 Rocky Mountain Journal of Mathematics
58 Journal of Differential Equations
50 Mathematical and Computer Modelling
47 Journal of Applied Mathematics and Computing
39 Nonlinear Analysis. Theory, Methods & Applications
37 Proceedings of the American Mathematical Society
37 Discrete Dynamics in Nature and Society
30 Boundary Value Problems
26 Applicable Analysis
25 Czechoslovak Mathematical Journal
22 Mathematical Methods in the Applied Sciences
22 Journal of Inequalities and Applications
21 Mathematica Slovaca
18 Applied Mathematics. Series B (English Edition)
18 Nonlinear Analysis. Real World Applications
17 Mathematische Nachrichten
16 Differential Equations and Dynamical Systems
15 Annali di Matematica Pura ed Applicata. Serie Quarta
15 Acta Mathematicae Applicatae Sinica. English Series
14 Mediterranean Journal of Mathematics
14 International Journal of Differential Equations
13 Opuscula Mathematica
13 Journal of Applied Mathematics
12 Communications in Nonlinear Science and Numerical Simulation
12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
12 Journal of Fixed Point Theory and Applications
11 Chaos, Solitons and Fractals
11 Fractional Calculus & Applied Analysis
10 Applied Mathematics and Mechanics. (English Edition)
10 Filomat
10 Qualitative Theory of Dynamical Systems
9 Turkish Journal of Mathematics
9 Acta Mathematica Sinica. English Series
9 Journal of Applied Analysis and Computation
9 Journal of Function Spaces
8 Mathematical Biosciences
8 Results in Mathematics
8 Acta Applicandae Mathematicae
8 Hacettepe Journal of Mathematics and Statistics
7 Bulletin of the Australian Mathematical Society
7 Journal of Mathematical Physics
7 Transactions of the American Mathematical Society
7 Linear Algebra and its Applications
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Electronic Journal of Differential Equations (EJDE)
7 Georgian Mathematical Journal
7 Nonlinear Dynamics
7 The ANZIAM Journal
7 Science China. Mathematics
7 Electronic Journal of Mathematical Analysis and Applications EJMAA
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Russian Mathematics
6 Analysis (München)
6 Central European Journal of Mathematics
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 AIMS Mathematics
5 Archiv der Mathematik
5 International Journal of Mathematics and Mathematical Sciences
5 Tôhoku Mathematical Journal. Second Series
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Journal of Integral Equations and Applications
5 Journal of Dynamics and Differential Equations
5 Journal of Mathematical Sciences (New York)
5 Discrete and Continuous Dynamical Systems
5 Positivity
5 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
4 Indian Journal of Pure & Applied Mathematics
4 Journal of the Franklin Institute
4 Monatshefte für Mathematik
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Zeitschrift für Analysis und ihre Anwendungen
4 Acta Mathematica Hungarica
4 Physica D
4 Tatra Mountains Mathematical Publications
4 Topological Methods in Nonlinear Analysis
4 Complexity
4 Mathematical Problems in Engineering
4 Functional Differential Equations
4 Advanced Nonlinear Studies
4 Mathematical Biosciences and Engineering
4 Nonlinear Oscillations
4 Discrete and Continuous Dynamical Systems. Series S
4 Afrika Matematika
4 Advances in Nonlinear Analysis
4 Computational Methods for Differential Equations
3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
3 Journal of Functional Analysis
3 Journal of Optimization Theory and Applications
3 Mathematics and Computers in Simulation
3 Numerical Functional Analysis and Optimization
...and 168 more Serials
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Cited in 47 Fields

1,667 Ordinary differential equations (34-XX)
664 Difference and functional equations (39-XX)
274 Operator theory (47-XX)
211 Partial differential equations (35-XX)
198 Real functions (26-XX)
139 Biology and other natural sciences (92-XX)
80 Dynamical systems and ergodic theory (37-XX)
74 Integral equations (45-XX)
57 Systems theory; control (93-XX)
55 Numerical analysis (65-XX)
27 Global analysis, analysis on manifolds (58-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
9 Mechanics of particles and systems (70-XX)
8 Special functions (33-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Measure and integration (28-XX)
6 Integral transforms, operational calculus (44-XX)
5 Functional analysis (46-XX)
4 Functions of a complex variable (30-XX)
4 Probability theory and stochastic processes (60-XX)
4 Operations research, mathematical programming (90-XX)
3 Sequences, series, summability (40-XX)
3 Approximations and expansions (41-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
3 Computer science (68-XX)
3 Fluid mechanics (76-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Mechanics of deformable solids (74-XX)
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2 Information and communication theory, circuits (94-XX)
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