Edit Profile Erbe, Lynn Harry Compute Distance To: Compute Author ID: erbe.lynn-h Published as: Erbe, L.; Erbe, L. H.; Erbe, Lynn; Erbe, Lynn H. External Links: MGP Documents Indexed: 257 Publications since 1969, including 4 Books Reviewing Activity: 2 Reviews Biographic References: 1 Publication all top 5 Co-Authors 37 single-authored 71 Peterson, Allan C. 29 Jia, Baoguo 14 Baoguo, Jia 14 Krawcewicz, Wieslaw Z. 13 Peterson, Alan 12 Butler, Geoffrey J. 12 Kong, Qingkai 10 Freedman, Herbert Irving 10 Hassan, Taher S. 10 Liu, Xinzhi 10 Saker, Samir H. 9 Mert, Raziye 7 Rao, Vadrevu Sree Hari 7 Wu, Jianhong 7 Zhang, Binggen 6 Tang, Moxun 6 Wu, Hongwu 5 Chen, Shaozhu 5 Guo, Dajun 5 Liu, Xiang 5 Tisdell, Christopher C. 5 Yan, Pengxiang 4 Du, Feifei 4 Mathsen, Ronald M. 3 Hu, Shouchuan 3 Liang, Zhongchao 3 Palamides, Panos K. 3 Schmitt, Klaus 3 Wang, Haiyan 2 Akin, Elvan 2 Bohner, Martin J. 2 Chen, Churong 2 Gęba, Kazimierz 2 Goodrich, Christopher S. 2 Knobloch, Hans-Wilhelm 2 Muldowney, James S. 2 Mysore, S. 2 Oganesyan, Gro R. 2 Ou, Boqun 2 Řehák, Pavel 2 Wen, Lizhi 2 Xia, Huaxing 2 Xu, Zhiting 2 Yu, Jian-She 1 Allegretto, Walter 1 Anderson, Douglas Robert 1 Bullock, John 1 Chen, Siyuan 1 Davis, John M. 1 Gensler, Scott 1 Henderson, Johnny Lee 1 Hilger, Stefan 1 Hu, Wei 1 Huang, Qingguang 1 Kaczynski, Tomasz 1 Kaymakçalan, Billur 1 Kong, Lingju 1 Lee, Sung-Joon 1 Li, Longtu 1 Lu, Hong 1 Ma, Ruyun 1 Mingarelli, Angelo B. 1 Peschke, Georg 1 Ruan, Shigui 1 Seshagiri Rao, K. V. V. 1 Simon, Marvin K. 1 Tran, Hoainam 1 Wang, Zhi-Cheng 1 Wong, Patricia J. Y. 1 Xu, Yuantong 1 Yang, Qiaoshun 1 Zafer, Ağacık 1 Zhang, Qinqin 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 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 all top 5 Fields 193 Ordinary differential equations (34-XX) 77 Difference and functional equations (39-XX) 16 Real functions (26-XX) 14 Partial differential equations (35-XX) 10 Integral equations (45-XX) 10 Biology and other natural sciences (92-XX) 9 General and overarching topics; collections (00-XX) 7 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 205 Publications have been cited 3,562 times in 2,221 Documents Cited by ▼ Year ▼ Oscillation theory for functional differential equations. Zbl 0821.34067Erbe, L. H.; Kong, Qingkai; Zhang, B. G. 293 1994 On the existence of positive solutions of ordinary differential equations. Zbl 0802.34018Erbe, L. H.; Wang, Haiyan 272 1994 Multiple positive solutions of some boundary value problems. Zbl 0805.34021Erbe, L. H.; Hu, Shouchuan; Wang, Haiyan 152 1994 Positive solutions for a nonlinear differential equation on a measure chain. Zbl 0963.34020Erbe, L.; Peterson, A. 101 2000 Oscillation of discrete analogues of delay equations. Zbl 0723.39004Erbe, L. H.; Zhang, B. G. 99 1989 Oscillation criteria for second-order nonlinear delay dynamic equations. Zbl 1125.34046Erbe, L.; Peterson, A.; Saker, S. H. 74 2007 Oscillation criteria for second-order nonlinear dynamic equations on time scales. Zbl 1050.34042Erbe, Lynn; Peterson, Allan; Saker, S. H. 72 2003 Sturmian theory on measure chains. Zbl 0868.39007Erbe, Lynn; Hilger, Stefan 71 1993 Comparison principles for impulsive parabolic equations with applications to models of single species growth. Zbl 0881.35006Erbe, L. H.; Freedman, H. I.; Liu, X. Z.; Wu, Jianhong 68 1991 Green’s functions and comparison theorems for differential equations on measure chains. Zbl 0938.34027Erbe, Lynn; Peterson, Allan 67 1999 Global stability of a linear nonautonomous delay difference equation. Zbl 0855.39007Erbe, L. H.; Xia, H. 63 1995 Riccati techniques and variational principles in oscillation theory for linear systems. Zbl 0648.34031Butler, G. J.; Erbe, L. H.; Mingarelli, A. B. 59 1987 Kamenev type theorems for second order matrix differential systems. Zbl 0777.34024Erbe, Lynn H.; Kong, Qingkai; Ruan, Shigui 54 1993 Oscillation for nonlinear second order dynamic equations on a time scale. Zbl 1061.34018Bohner, Martin; Erbe, Lynn; Peterson, Allan 51 2005 Oscillation criteria for second order linear equations on a time scale. Zbl 1050.39024Erbe, L. 49 2001 Riccati techniques and discrete oscillations. Zbl 0686.39001Chen, Shaozhu; Erbe, Lynn H. 49 1989 Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. Zbl 1075.39010Erbe, L.; Peterson, A.; Saker, S. H. 47 2005 Disconjugacy for linear Hamiltonian difference systems. Zbl 0762.39003Erbe, Lynn H.; Yan, Pengxiang 43 1992 Three-species food-chain models with mutual interference and time delays. Zbl 0592.92024Erbe, L. H.; Freedman, H. I.; Sree Hari Rao, V. 43 1986 Hille and Nehari type criteria for third-order dynamic equations. Zbl 1128.39009Erbe, L.; Peterson, A.; Saker, S. H. 42 2007 Oscillation criteria for nonlinear damped dynamic equations on time scales. Zbl 1162.39005Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 39 2008 Oscillation for first order linear differential equations with deviating arguments. Zbl 0723.34055Erbe, L. H.; Zhang, B. G. 39 1988 Boundedness and oscillation for nonlinear dynamic equations on a time scale. Zbl 1055.39007Erbe, Lynn; Peterson, Allan 37 2004 \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations. Zbl 0765.34023Erbe, L. H.; Krawcewicz, W.; Gȩba, K.; Wu, J. 37 1992 Oscillation criteria for second order nonlinear delay equations. Zbl 0272.34095Erbe, Lynn 37 1973 Comparison theorems for linear dynamic equations on time scales. Zbl 1034.34042Erbe, Lynn; Peterson, Allan; Řehák, Pavel 36 2002 Oscillation criteria for second-order matrix dynamic equations on a time scale. Zbl 1017.34030Erbe, Lynn; Peterson, Allan 36 2002 Boundary value problems for singular second-order functional differential equations. Zbl 0816.34046Erbe, L. H.; Kong, Qingkai 35 1994 Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball. Zbl 0884.34025Erbe, Lynn; Tang, Moxun 34 1997 Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems. Zbl 0970.34019Erbe, L. 33 2000 Existence of solutions to boundary value problems for second order differential equations. Zbl 0517.34018Erbe, L. H. 33 1982 Existence results for boundary value problems of second order impulsive differential equations. Zbl 0711.34027Erbe, Lynn H.; Liu, Xinzhi 31 1990 Oscillation and nonoscillation for systems of self-adjoint second-order difference equations. Zbl 0687.39001Chen, Shaozhu; Erbe, Lynn H. 31 1989 Positive solutions for singular nonlinear boundary value problems. Zbl 1007.34020Erbe, Lynn H.; Mathsen, Ronald M. 29 2001 Oscillation criteria for nonlinear functional neutral dynamic equations on time scales. Zbl 1193.34135Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 28 2009 Oscillation and asymptotic behavior of a third-order nonlinear dynamic equation. Zbl 1145.34329Erbe, L.; Peterson, A.; Saker, S. H. 28 2006 Eigenvalue conditions and positive solutions. Zbl 0949.34015Erbe, Lynn; Peterson, Allan 28 2000 Nonlinear boundary value problems for differential inclusions \(y''\in F(t,y,y')\). Zbl 0731.34078Erbe, L. H.; Krawcewicz, W. 28 1991 Multiplicity of positive solutions for higher order Sturm-Liouville problems. Zbl 0989.34012Davis, John M.; Erbe, Lynn H.; Henderson, Johnny 27 2001 Existence and multiplicity of positive solutions to nonlinear boundary value problems. Zbl 0868.35035Erbe, Lynn H.; Tang, M. 27 1996 Oscillation of third order nonlinear functional dynamic equations on time scales. Zbl 1213.34116Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 26 2010 Oscillation criteria for half-linear delay dynamic equations on time scales. Zbl 1173.34037Erbe, Lynn; Hassan, Taher S.; Peterson, Allan; Saker, Samir H. 26 2009 Oscillation of second order linear difference equations. Zbl 0692.39001Erbe, L. H.; Zhang, B. G. 26 1988 Two monotonicity results for nabla and delta fractional differences. Zbl 1327.39011Jia, Baoguo; Erbe, Lynn; Peterson, Allan 25 2015 Convexity for nabla and delta fractional differences. Zbl 1320.39003Baoguo, Jia; Erbe, Lynn; Peterson, Allan 24 2015 Nabla dynamic equations on time scales. Zbl 1032.39007Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam 24 2003 Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations. Zbl 0339.34030Erbe, L. 24 1976 Nonlinear boundary value problems for second order differential equations. Zbl 0284.34017Erbe, Lynn H. 24 1970 Structure of positive radial solutions of semilinear elliptic equations. Zbl 0871.34023Erbe, Lynn; Tang, Moxun 22 1997 Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations. Zbl 0345.34023Erbe, L. 22 1976 Existence of solutions to boundary value problems for impulsive second order differential inclusions. Zbl 0784.34012Erbe, L.; Krawcewicz, W. 21 1992 Oscillation results for second order differential systems. Zbl 0583.34027Butler, G. J.; Erbe, L. H. 21 1986 Oscillation results for second-order linear equations on a time scale. Zbl 1021.34012Erbe, L. 19 2002 Qualitative properties of Hamiltonian difference systems. Zbl 0768.39001Erbe, Lynn H.; Yan, Pengxiang 18 1992 Oscillation results for selfadjoint differential systems. Zbl 0588.34025Butler, G. J.; Erbe, L. H. 18 1986 Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 17 2016 Kamenev-type oscillation criteria for second-order linear delay dynamic equations. Zbl 1104.34026Erbe, L.; Peterson, A.; Saker, S. H. 17 2006 Riccati equations on a measure chain. Zbl 1008.34006Erbe, Lynn; Peterson, Allan 17 2001 Monotonicity results for delta fractional differences revisited. Zbl 06760211Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 16 2017 A composite coincidence degree with applications to boundary value problems of neutral equations. Zbl 0770.34053Erbe, L. H.; Krawcewicz, W.; Wu, J. H. 15 1993 Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain. Zbl 0937.34025Erbe, Lynn; Peterson, Allan; Mathsen, Ronald 14 2000 Existence and nonexistence of positive solutions for elliptic equations in an annulus. Zbl 0900.35144Erbe, L. H.; Wang, Haiyan 14 1994 Monotonicity and convexity for nabla fractional \((q,h)\)-differences. Zbl 1364.39009Du, Feifei; Jia, Baoguo; Erbe, Lynn; Peterson, Allan 13 2016 Weighted averaging techniques in oscillation theory for second order difference equations. Zbl 0762.39002Erbe, Lynn H.; Yan, Pengxiang 13 1992 Oscillation theorems for second order nonlinear differential equations. Zbl 0194.12102Erbe, L. 13 1970 Spectral parameter power series for Sturm-Liouville equations on time scales. Zbl 1245.34088Erbe, Lynn; Mert, Raziye; Peterson, Allan 12 2012 Oscillation results for second order scalar and matrix difference equations. Zbl 0807.39003Chen, S.-Z.; Erbe, L. 12 1994 Bounded and zero-convergent solutions of a class of Stieltjes integro- differential equations. Zbl 0739.45005Chen, Shaozhu; Huang, Qingguang; Erbe, L. H. 12 1991 Quasi-solutions of nonlinear impulsive equations in abstract cones. Zbl 0662.34015Erbe, L. H.; Liu, Xinzhi 12 1989 Oscillation theorems for second order linear differential equations. Zbl 0185.15903Erbe, L. 12 1970 Some relations between the Caputo fractional difference operators and integer-order differences. Zbl 1321.39024Jia, Baoguo; Erbe, Lynn; Peterson, Allan 11 2015 Kiguradze-type oscillation theorems for second order superlinear dynamic equations on time scales. Zbl 1246.34066Baoguo, Jia; Erbe, Lynn; Peterson, Allan 11 2011 Oscillation of third order functional dynamic equations with mixed arguments on time scales. Zbl 1213.34115Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 11 2010 Hille-Kneser-type criteria for second-order dynamic equations on time scales. Zbl 1229.34136Erbe, Lynn; Peterson, Allan C.; Saker, Samir H. 11 2006 Oscillation results for a dynamic equation on a time scale. Zbl 1002.39024Akin, Elvan; Erbe, Lynn; Peterson, Allan; Kaymakçalan, Billur 11 2001 Modeling persistence and mutual interference among subpopulations of ecological communities. Zbl 0571.92026Erbe, L. H.; Freedman, H. I. 11 1985 Oscillation criteria for second order nonlinear differential equations. Zbl 0296.34026Erbe, L. 11 1972 Boundary value problems for ordinary differential equations. Zbl 0242.34022Erbe, Lynn 11 1971 Comparison theorems and asymptotic behavior of solutions of discrete fractional equations. Zbl 1349.39006Jia, Baoguo; Erbe, Lynn; Peterson, Allan 10 2015 Oscillation of even order nonlinear delay dynamic equations on time scales. Zbl 1274.34262Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık 10 2013 Oscillation of second order superlinear dynamic equations with damping on time scales. Zbl 1189.34133Hassan, Taher S.; Erbe, Lynn; Peterson, Allan 10 2010 Uniqueness of positive radial solutions of \(\Delta u+f(| x| ,u)=0\). Zbl 1131.35334Erbe, Lynn; Tang, Moxun 10 1998 Oscillation of \(n\)th order superlinear dynamic equations on time scales. Zbl 1216.34100Erbe, Lynn; Baoguo, Jia; Peterson, Allan 9 2011 On the discrete Riccati equation and its applications to discrete Hamiltonian systems. Zbl 0836.39003Erbe, Lynn H.; Yan, Pengxiang 9 1995 Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form \(y''=g(t,y,y',y'')\). Zbl 0728.34004Erbe, L. H.; Krawcewicz, W.; Kaczynski, T. 9 1990 On radial solutions of some semilinear elliptic equations. Zbl 0721.35020Erbe, Lynn; Schmitt, Klaus 9 1988 On the asymptotic behavior of solutions of Emden-Fowler equations on time scales. Zbl 1259.34093Erbe, Lynn; Baoguo, Jia; Peterson, Allan 8 2012 Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales. Zbl 1229.34135Erbe, Lynn; Jia, Baoguo; Peterson, Allan 8 2011 Oscillation criteria for a forced second-order nonlinear dynamic equation. Zbl 1168.34025Erbe, L.; Peterson, A.; Saker, S. H. 8 2008 Existence of solutions to second-order BVPs on time scales. Zbl 1088.39014Erbe, Lynn; Peterson, Allan; Tisdell, Christopher C. 8 2005 Oscillation criteria for Hamiltonian matrix difference systems. Zbl 0794.39006Erbe, L. H.; Yan, Pengxiang 8 1993 Periodic boundary value problems for second order integrodifferential equations of mixed type. Zbl 0799.45007Erbe, L. H.; Guo, Dajun 8 1992 Leray-Schauder degree for semilinear Fredholm maps and periodic boundary value problems of neutral equations. Zbl 0729.47058Erbe, L. H.; Krawcewicz, W.; Wu, J. 8 1990 Boundary value problems for second-order differential systems. Zbl 0635.34017Erbe, L. H.; Palamides, P. K. 8 1987 On the existence of oscillatory solutions to nonlinear differential equations. Zbl 0345.34022Erbe, Lynn H.; Muldowney, James S. 8 1976 Oscillation criteria for matrix differential inequalities. Zbl 0275.34034Allegretto, W.; Erbe, L. 8 1973 Monotonicity and convexity for nabla fractional \(q\)-differences. Zbl 1362.39020Baoguo, Jia; Erbe, Lynn; Peterson, Allan 7 2016 A Wong-type oscillation theorem for second order linear dynamic equations on time scales. Zbl 1193.34179Baoguo, Jia; Erbe, Lynn; Peterson, Allan 7 2010 Nonoscillation for second order sublinear dynamic equations on time scales. Zbl 1187.34128Erbe, Lynn; Baoguo, Jia; Peterson, Allan 7 2009 Uniqueness of positive radial solutions of \(\Delta u+K(| x|)\gamma(u)=0\). Zbl 1131.35333Erbe, Lynn; Tang, Moxun 7 1998 Asymptotic behavior of solutions of fractional nabla \(q\)-difference equations. Zbl 1414.39003Jia, Baoguo; Erbe, Lynn; Peterson, Allan 3 2019 Gronwall’s inequality for a nabla fractional difference system with a retarded argument and an application. Zbl 1429.39004Chen, Churong; Mert, Raziye; Jia, Baoguo; Erbe, Lynn; Peterson, Allan 2 2019 A generalized \(h\)-fractional Gronwall’s inequality and its applications for nonlinear \(h\)-fractional difference systems with ‘maxima’. Zbl 1421.39002Liu, Xiang; Peterson, Allan; Jia, Baoguo; Erbe, Lynn 1 2019 Two asymptotic results of solutions for nabla fractional \((q,h)\)-difference equations. Zbl 1424.39047Du, Feifei; Erbe, Lynn; Jia, Baoguo; Peterson, Allan 5 2018 Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay. Zbl 1403.39003Chen, Churong; Jia, Baoguo; Liu, Xiang; Erbe, Lynn 4 2018 Monotonicity results for delta fractional differences revisited. Zbl 06760211Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 16 2017 Liapunov functional and stability of linear nabla \((q,h)\)-fractional difference equations. Zbl 1406.39021Jia, Baoguo; Chen, Siyuan; Erbe, Lynn; Peterson, Allan 4 2017 Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations. Zbl 1413.39009Liu, Xiang; Jia, Baoguo; Erbe, Lynn; Peterson, Allan 2 2017 Oscillation criteria for second order superlinear dynamic equations with oscillating coefficients. Zbl 1373.34134Wu, Hongwu; Jia, Baoguo; Erbe, Lynn 1 2017 Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 17 2016 Monotonicity and convexity for nabla fractional \((q,h)\)-differences. Zbl 1364.39009Du, Feifei; Jia, Baoguo; Erbe, Lynn; Peterson, Allan 13 2016 Monotonicity and convexity for nabla fractional \(q\)-differences. Zbl 1362.39020Baoguo, Jia; Erbe, Lynn; Peterson, Allan 7 2016 Oscillation of solution to second-order half-linear delay dynamic equations on time scales. Zbl 1345.34150Wu, Hongwu; Erbe, Lynn; Peterson, Allan 3 2016 Oscillation criteria for second order sublinear dynamic equations with oscillating coefficients. Zbl 1347.34140Wu, Hongwu; Jia, Baoguo; Erbe, Lynn; Peterson, Allan 2 2016 Two monotonicity results for nabla and delta fractional differences. Zbl 1327.39011Jia, Baoguo; Erbe, Lynn; Peterson, Allan 25 2015 Convexity for nabla and delta fractional differences. Zbl 1320.39003Baoguo, Jia; Erbe, Lynn; Peterson, Allan 24 2015 Some relations between the Caputo fractional difference operators and integer-order differences. Zbl 1321.39024Jia, Baoguo; Erbe, Lynn; Peterson, Allan 11 2015 Comparison theorems and asymptotic behavior of solutions of discrete fractional equations. Zbl 1349.39006Jia, Baoguo; Erbe, Lynn; Peterson, Allan 10 2015 Upper bounds for the distances between consecutive zeros of solutions of first order delay differential equations. Zbl 1320.34099Wu, Hongwu; Erbe, Lynn; Peterson, Allan 4 2015 Theorems of Kiguradze-type and Belohorec-type revisited on time scales. Zbl 1318.34123Wu, Hongwu; Jia, Baoguo; Erbe, Lynn 3 2015 An extended Halanay inequality of integral type on time scales. Zbl 1349.34397Ou, Boqun; Jia, Baoguo; Erbe, Lynn 2 2015 A generalized Halanay-type inequality on time scales. Zbl 1335.34146Ou, Boqun; Jia, Baoguo; Erbe, Lynn 2 2015 A Halanay-type inequality on time scales in higher dimensional spaces. Zbl 1301.34114Jia, Baoguo; Erbe, Lynn; Mert, Raziye 1 2014 A Butler-type oscillation theorem for second-order dynamic equations on discrete timescales. Zbl 1304.34160Jia, Baoguo; Erbe, Lynn; Peterson, Allan 1 2014 Oscillation of even order nonlinear delay dynamic equations on time scales. Zbl 1274.34262Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık 10 2013 An oscillation theorem for second order superlinear dynamic equations on time scales. Zbl 1297.34100Baoguo, Jia; Erbe, Lynn; Peterson, Allan 5 2013 On the distance between consecutive zeros of solutions of first order delay differential equations. Zbl 1293.34083Wu, Hong-Wu; Erbe, Lynn 3 2013 New oscillation criteria for second order sublinear dynamic equations. Zbl 1302.34135Erbe, Lynn; Hassan, Taher S. 1 2013 Spectral parameter power series for Sturm-Liouville equations on time scales. Zbl 1245.34088Erbe, Lynn; Mert, Raziye; Peterson, Allan 12 2012 On the asymptotic behavior of solutions of Emden-Fowler equations on time scales. Zbl 1259.34093Erbe, Lynn; Baoguo, Jia; Peterson, Allan 8 2012 Oscillation theorems for second order sublinear dynamic equations on time scales. Zbl 1269.34073Jia, Baoguo; Erbe, Lynn; Peterson, Allan 4 2012 Asymptotic behavior of \(n\)-th order dynamic equations. Zbl 1279.34106Erbe, L.; Hovhannisyan, G.; Peterson, A. 2 2012 Kiguradze-type oscillation theorems for second order superlinear dynamic equations on time scales. Zbl 1246.34066Baoguo, Jia; Erbe, Lynn; Peterson, Allan 11 2011 Oscillation of \(n\)th order superlinear dynamic equations on time scales. Zbl 1216.34100Erbe, Lynn; Baoguo, Jia; Peterson, Allan 9 2011 Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales. Zbl 1229.34135Erbe, Lynn; Jia, Baoguo; Peterson, Allan 8 2011 Oscillation criteria for second order sublinear dynamic equations with damping term. Zbl 1228.34146Hassan, Taher S.; Erbe, Lynn; Peterson, Allan 4 2011 Oscillation for a nonlinear dynamic system on time scales. Zbl 1232.34124Erbe, Lynn; Mert, Raziye 3 2011 Asymptotic behavior of \(n\)-th order sublinear dynamic equations on time scales. Zbl 1235.34239Baoguo, Jia; Erbe, Lynn; Peterson, Allan 2 2011 Oscillation of third order nonlinear functional dynamic equations on time scales. Zbl 1213.34116Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 26 2010 Oscillation of third order functional dynamic equations with mixed arguments on time scales. Zbl 1213.34115Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 11 2010 Oscillation of second order superlinear dynamic equations with damping on time scales. Zbl 1189.34133Hassan, Taher S.; Erbe, Lynn; Peterson, Allan 10 2010 A Wong-type oscillation theorem for second order linear dynamic equations on time scales. Zbl 1193.34179Baoguo, Jia; Erbe, Lynn; Peterson, Allan 7 2010 Interval oscillation criteria for forced second-order nonlinear delay dynamic equations with oscillatory potential. Zbl 1202.34162Erbe, Lynn; Hassan, Taher S.; Peterson, Allan; Saker, Samir H. 6 2010 Oscillation of sublinear Emden-Fowler dynamic equations on time scales. Zbl 1191.34107Baoguo, Jia; Erbe, Lynn; Peterson, Allan 5 2010 Oscillation criteria for nonlinear functional neutral dynamic equations on time scales. Zbl 1193.34135Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 28 2009 Oscillation criteria for half-linear delay dynamic equations on time scales. Zbl 1173.34037Erbe, Lynn; Hassan, Taher S.; Peterson, Allan; Saker, Samir H. 26 2009 Nonoscillation for second order sublinear dynamic equations on time scales. Zbl 1187.34128Erbe, Lynn; Baoguo, Jia; Peterson, Allan 7 2009 Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales. Zbl 1191.34109Erbe, Lynn; Jia, Baoguo; Peterson, Allan 6 2009 Oscillation of a family of \(q\)-difference equations. Zbl 1170.39002Baoguo, Jia; Erbe, Lynn; Peterson, Allan 5 2009 Some new oscillation results for a nonlinear dynamic system on time scales. Zbl 1185.34141Erbe, Lynn; Mert, Raziye 4 2009 Oscillation criteria for first order forced dynamic equations. Zbl 1299.34293Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 1 2009 Oscillation criteria for nonlinear damped dynamic equations on time scales. Zbl 1162.39005Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 39 2008 Oscillation criteria for a forced second-order nonlinear dynamic equation. Zbl 1168.34025Erbe, 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 1158.34025Erbe, L.; Peterson, A.; Tisdell, Christopher C. 6 2008 New comparison and oscillation theorems for second-order half-linear dynamic equations on time scales. Zbl 1165.34340Jia, Baoguo; Erbe, Lynn; Peterson, Allan 4 2008 Oscillation criteria for second-order nonlinear delay dynamic equations. Zbl 1125.34046Erbe, L.; Peterson, A.; Saker, S. H. 74 2007 Hille and Nehari type criteria for third-order dynamic equations. Zbl 1128.39009Erbe, L.; Peterson, A.; Saker, S. H. 42 2007 On systems of boundary value problems for differential inclusions. Zbl 1126.34012Erbe, Lynn; Tisdell, Christopher C.; Wong, Patricia J. Y. 6 2007 Recent results concerning dynamic equations on time scales. Zbl 1177.34008Erbe, Lynn; Peterson, Allan 4 2007 Some new comparison results for second order linear dynamic equations. Zbl 1201.34142Baoguo, Jia; Erbe, Lynn; Peterson, Allan 2 2007 Integral comparison theorems for second-order linear dynamic equations. Zbl 1127.39029Erbe, Lynn; Peterson, Allan; Řehák, Pavel 2 2007 Oscillation and asymptotic behavior of a third-order nonlinear dynamic equation. Zbl 1145.34329Erbe, L.; Peterson, A.; Saker, S. H. 28 2006 Kamenev-type oscillation criteria for second-order linear delay dynamic equations. Zbl 1104.34026Erbe, L.; Peterson, A.; Saker, S. H. 17 2006 Hille-Kneser-type criteria for second-order dynamic equations on time scales. Zbl 1229.34136Erbe, Lynn; Peterson, Allan C.; Saker, Samir H. 11 2006 A telescoping principle for oscillation of second order differential equations on a time scale. Zbl 1156.34021Erbe, Lynn; Kong, Lingju; Kong, Qingkai 4 2006 On two point boundary value problems for second order differential inclusions. Zbl 1112.34008Erbe, Lynn; Ma, Ruyun; Tisdell, Christopher C. 4 2006 Monotone solutions of dynamic systems on time scales. Zbl 1098.39010Erbe, L.; Peterson, A.; Tisdell, C. C. 2 2006 Oscillation for nonlinear second order dynamic equations on a time scale. Zbl 1061.34018Bohner, Martin; Erbe, Lynn; Peterson, Allan 51 2005 Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. Zbl 1075.39010Erbe, L.; Peterson, A.; Saker, S. H. 47 2005 Existence of solutions to second-order BVPs on time scales. Zbl 1088.39014Erbe, Lynn; Peterson, Allan; Tisdell, Christopher C. 8 2005 Square integrability of Gaussian bells on time scales. Zbl 1088.81058Erbe, L.; Peterson, A.; Simon, M. 3 2005 Comparison theorems of Hille-Wintner type for dynamic equations on time scales. Zbl 1078.39015Erbe, Lynn; Peterson, Allan 1 2005 Boundedness and oscillation for nonlinear dynamic equations on a time scale. Zbl 1055.39007Erbe, Lynn; Peterson, Allan 37 2004 Some recent results in linear and nonlinear oscillation. Zbl 1073.34033Erbe, Lynn; Peterson, Allan 1 2004 Oscillation criteria for second-order nonlinear dynamic equations on time scales. Zbl 1050.34042Erbe, Lynn; Peterson, Allan; Saker, S. H. 72 2003 Nabla dynamic equations on time scales. Zbl 1032.39007Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam 24 2003 An oscillation result for a nonlinear dynamic equation on a time scale. Zbl 1086.39004Erbe, Lynn; Peterson, Allan 5 2003 Comparison theorems for linear dynamic equations on time scales. Zbl 1034.34042Erbe, Lynn; Peterson, Allan; Řehák, Pavel 36 2002 Oscillation criteria for second-order matrix dynamic equations on a time scale. Zbl 1017.34030Erbe, Lynn; Peterson, Allan 36 2002 Oscillation results for second-order linear equations on a time scale. Zbl 1021.34012Erbe, L. 19 2002 Averaging techniques for self-adjoint matrix equations on a measure chain. Zbl 1014.39005Erbe, Lynn; Peterson, Allan 3 2002 Existence of bounded solutions for second order dynamic equations. Zbl 1005.39018Akin, 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 1231.34037Erbe, L. H.; Palamides, P. K. 1 2002 Oscillation criteria for second order linear equations on a time scale. Zbl 1050.39024Erbe, L. 49 2001 Positive solutions for singular nonlinear boundary value problems. Zbl 1007.34020Erbe, Lynn H.; Mathsen, Ronald M. 29 2001 Multiplicity of positive solutions for higher order Sturm-Liouville problems. Zbl 0989.34012Davis, John M.; Erbe, Lynn H.; Henderson, Johnny 27 2001 Riccati equations on a measure chain. Zbl 1008.34006Erbe, Lynn; Peterson, Allan 17 2001 Oscillation results for a dynamic equation on a time scale. Zbl 1002.39024Akin, Elvan; Erbe, Lynn; Peterson, Allan; Kaymakçalan, Billur 11 2001 Factoring linear differential operators on measure chains. Zbl 1001.34029Erbe, Lynn H.; Mathsen, Ronald M.; Peterson, Allan 3 2001 Positive solutions for a nonlinear differential equation on a measure chain. Zbl 0963.34020Erbe, L.; Peterson, A. 101 2000 Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems. Zbl 0970.34019Erbe, L. 33 2000 Eigenvalue conditions and positive solutions. Zbl 0949.34015Erbe, Lynn; Peterson, Allan 28 2000 Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain. Zbl 0937.34025Erbe, Lynn; Peterson, Allan; Mathsen, Ronald 14 2000 Green’s functions and comparison theorems for differential equations on measure chains. Zbl 0938.34027Erbe, Lynn; Peterson, Allan 67 1999 Uniqueness of positive radial solutions of \(\Delta u+f(| x| ,u)=0\). Zbl 1131.35334Erbe, Lynn; Tang, Moxun 10 1998 Uniqueness of positive radial solutions of \(\Delta u+K(| x|)\gamma(u)=0\). Zbl 1131.35333Erbe, Lynn; Tang, Moxun 7 1998 Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball. Zbl 0884.34025Erbe, Lynn; Tang, Moxun 34 1997 Structure of positive radial solutions of semilinear elliptic equations. Zbl 0871.34023Erbe, Lynn; Tang, Moxun 22 1997 Existence and multiplicity of positive solutions to nonlinear boundary value problems. Zbl 0868.35035Erbe, Lynn H.; Tang, M. 27 1996 Positive radial solutions to nonlinear boundary value problems for semilinear elliptic problems. Zbl 0845.35033Erbe, L. H.; Tang, M. 3 1996 ...and 105 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,706 Authors 109 Agarwal, Ravi P. 88 Erbe, Lynn Harry 60 O’Regan, Donal 49 Li, Tongxing 48 Wong, Patricia J. Y. 42 Bohner, Martin J. 40 Peterson, Allan C. 40 Saker, Samir H. 36 Henderson, Johnny Lee 34 Ge, Weigao 32 Meng, Fanwei 29 Džurina, Jozef 29 Tang, Xianhua 29 Zhang, Binggen 27 Grace, Said Rezk 27 Graef, John R. 27 Wang, Qiru 26 Jia, Baoguo 26 Ma, Ruyun 25 Kong, Qingkai 24 Zhang, Chenghui 23 Han, Zhenlai 23 Yan, Jurang 22 Anderson, Douglas Robert 22 Chatzarakis, George E. 22 Diblík, Josef 22 Goodrich, Christopher S. 22 Hassan, Taher S. 21 Braverman, Elena 21 Yu, Jian-She 20 Baculíková, Blanka 20 Li, Wan-Tong 20 Stavroulakis, Ioannis P. 19 Berezansky, Leonid M. 19 Liu, Xinzhi 18 Sun, Shurong 17 Benchohra, Mouffak 17 Kong, Lingju 17 Liu, Lishan 17 Zhou, Yong 16 Shen, Jianhua 16 Thandapani, Ethiraju 16 Wong, Fu-Hsiang 15 Eloe, Paul W. 15 Karpuz, Başak 15 Sun, Yuangong 14 Ntouyas, Sotiris K. 14 Wong, James S. W. 14 Wu, Jianhong 13 El-Morshedy, Hassan A. 13 Krawcewicz, Wieslaw Z. 13 Li, Weinian 13 Li, Yongxiang 13 Liu, Yuji 13 Ocalan, Ozkan 13 Šimon Hilscher, Roman 13 Zhang, Quanxin 12 Tisdell, Christopher C. 12 Wang, Haiyan 12 Wu, Yonghong 11 Cabada, Alberto 11 Došlá, Zuzana 11 Jiang, Daqing 11 Shi, Haiping 11 Sun, Jianping 11 Wang, Peiguang 11 Wu, Hongwu 11 Zafer, Ağacık 10 Bainov, Drumi Dimitrov 10 Došlý, Ondřej 10 Feng, Qinghua 10 Kang, Shin Min 10 Liu, Zeqing 10 Marini, Mauro 10 Parhi, Narahari 10 Philos, Christos G. 10 Prasad, Kapula Rajendra 10 Řehák, Pavel 10 Sun, Taixiang 10 Thompson, Harold Bevan 10 Zheng, Zhaowen 10 Zhou, Zhan 9 Baoguo, Jia 9 Cecchi, Mariella 9 Feng, Meiqiang 9 Lalli, Bikkar S. 9 Li, Yongkun 9 Minchev, Emil 9 Papageorgiou, Nikolaos S. 9 Peterson, Alan 9 Rogovchenko, Yuri V. 9 Sun, Jingxian 9 Tiryaki, Aydin 9 Xu, Zhiting 9 Yang, Qigui 9 Zhang, Zhenguo 8 Candan, Tuncay 8 Freedman, Herbert Irving 8 Han, Maoan 8 Jadlovská, Irena ...and 1,606 more Authors all top 5 Cited in 215 Serials 272 Journal of Mathematical Analysis and Applications 173 Computers & Mathematics with Applications 165 Applied Mathematics and Computation 137 Nonlinear Analysis. 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