Edit Profile (opens in new tab) Burton, Theodore Allen Compute Distance To: Compute Author ID: burton.theodore-allen Published as: Burton, T. A.; Burton, Theodore A.; Burton, T.; Burton, Theodore; Burton, Theodore Allen; Burton, Théodore A. more...less Homepage: https://math.siu.edu/faculty-staff/emeritus/burton.php External Links: MGP · Google Scholar · ResearchGate · dblp Documents Indexed: 230 Publications since 1965, including 6 Books 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 29 Co-Authors with 117 Joint Publications 517 Co-Co-Authors all top 5 Co-Authors 113 single-authored 23 Purnaras, Ioannis K. 20 Zhang, Bo 14 Furumochi, Tetsuo 12 Becker, Leigh C. 7 Grimmer, Ronald 7 Haddock, John R. 6 Dwiggins, D. P. 6 Mahfoud, Wadi Elias 5 Somolinos, Alfredo S. 4 Hatvani, László 4 Huang, Qichang 3 Hering, Roger H. 3 Makay, Géza 3 Zhang, Shunian 2 Arino, Ovide 2 Casal, Alfonso C. 2 Eloe, Paul W. 2 Feng, Youhe 2 Islam, Muhammad Nazmul 2 Terjéki, József 2 Townsend, Carl G. 1 Hamaya, Yoshihiro 1 Hooker, John W. 1 Kirk, Colleen M. 1 Krisztin, Tibor 1 Martynyuk, Anatoliĭ Andriĭovych 1 Muldowney, James S. 1 Patula, William T. 1 Wong, James S. W. all top 5 Serials 15 Journal of Mathematical Analysis and Applications 14 Electronic Journal of Qualitative Theory of Differential Equations 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Funkcialaj Ekvacioj. Serio Internacia 11 Proceedings of the American Mathematical Society 9 Nonlinear Dynamics and Systems Theory 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Fixed Point Theory 7 Nonlinear Studies 7 Nonlinear Analysis. Theory, Methods & Applications 6 Dynamic Systems and Applications 5 Journal of Differential Equations 5 Acta Mathematica Hungarica 4 Journal of the London Mathematical Society. Second Series 4 Monatshefte für Mathematik 4 Tôhoku Mathematical Journal. Second Series 4 Transactions of the American Mathematical Society 3 Archiv der Mathematik 3 Canadian Mathematical Bulletin 3 Annals of Differential Equations 3 Journal of Integral Equations and Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Mathematics in Science and Engineering 3 Journal of Fractional Calculus and Applications 2 Mathematische Nachrichten 2 Journal of Integral Equations 2 Applied Mathematics Letters 2 Differential and Integral Equations 2 SIAM Journal on Applied Mathematics 2 Tatra Mountains Mathematical Publications 2 Differential Equations and Dynamical Systems 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Cubo 2 Differential Equations and Applications 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Hiroshima Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Journal of Applied Mathematics and Stochastic Analysis 1 Mathematica Bohemica 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Acta Mathematica Sinica. New Series 1 Electronic Journal of Differential Equations (EJDE) 1 Opuscula Mathematica 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Communications in Applied Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Seminar on Fixed Point Theory Cluj-Napoca 1 Fixed Point Theory and Applications 1 Carpathian Journal of Mathematics 1 Proceedings of the Cambridge Philosophical Society 1 SIAM Journal on Control 1 Buletinul Institutului Politehnic din Iași, New Series 1 Lecture Notes in Pure and Applied Mathematics 1 International Journal of Difference Equations 1 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 AIMS Mathematics 1 Advances in the Theory of Nonlinear Analysis and its Applications all top 5 Fields 129 Ordinary differential equations (34-XX) 104 Integral equations (45-XX) 59 Operator theory (47-XX) 8 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 2,551 times in 1,500 Documents Cited by ▼ Year ▼ Stability and periodic solutions of ordinary and functional differential equations. Zbl 0635.34001Burton, T. A. 357 1985 Volterra integral and differential equations. Zbl 0515.45001Burton, T. A. 184 1983 Stability by fixed point theory for functional differential equations. Zbl 1160.34001Burton, T. A. 122 2006 A fixed-point theorem of Krasnoselskii. Zbl 1127.47318Burton, T. A. 118 1998 Volterra integral and differential equations. 2nd ed. Zbl 1075.45001Burton, T. A. 105 2005 A fixed point theorem of Krasnoselskii-Schaefer type. Zbl 0896.47042Burton, T. A.; Kirk, Colleen 87 1998 Krasnoselskii’s fixed point theorem and stability. Zbl 1015.34046Burton, T. A.; Furumochi, Tetsuo 55 2002 Stability by fixed point theory or Liapunov theory: a comparison. Zbl 1061.47065Burton, T. A. 50 2003 Integral equations, implicit functions, and fixed points. Zbl 0873.45003Burton, T. A. 48 1996 Fixed points and stability of a nonconvolution equation. Zbl 1050.34110Burton, T. A. 45 2004 Unified boundedness, periodicity, and stability in ordinary and functional differential equations. Zbl 0626.34038Burton, T. A.; Zhang, Shunian 42 1986 Fixed points and stability of an integral equation: nonuniqueness. Zbl 1066.45002Burton, T. A.; Zhang, Bo 40 2004 Fixed points and problems in stability theory for ordinary and functional differential equations. Zbl 1021.34042Burton, T. A.; Furumochi, Tetsuo 38 2001 Fixed points, stability, and exact linearization. Zbl 1067.34077Burton, T. A. 38 2005 Stability theorems for nonautonomous functional differential equations by Lyapunov functionals. Zbl 0677.34060Burton, Theodore; Hatvani, László 37 1989 On the generalized Lienard equation with forcing function. Zbl 0174.13602Burton, T. A.; Townsend, C. G. 36 1968 On the equation \(x'' +f(x)h(x')x' +g(x) = e(t)\). Zbl 0194.40203Burton, T. A. 35 1970 Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem. Zbl 1084.47522Burton, T. A. 34 2002 Periodic solutions to functional differential equations. Zbl 0582.34077Arino, O. A.; Burton, T. A.; Haddock, J. R. 33 1985 Uniform asymptotic stability in functional differential equations. Zbl 0378.34058Burton, T. A. 33 1978 Some properties of solutions of \(u''(t)+a(t)f(u)g(u') = 0\). II. Zbl 0142.06402Wong, J. S. W.; Burton, T. A. 33 1965 Periodic solutions of abstract differential equations with infinite delay. Zbl 0760.34060Burton, T. A.; Zhang, Bo 29 1991 Stability, fixed points and inverses of delays. Zbl 1112.34054Becker, Leigh C.; Burton, T. A. 29 2006 Asymptotic behavior of solutions of functional differential equations by fixed point theorems. Zbl 1044.34033Burton, T. A.; Furumochi, Tetsuo 29 2002 Stability criteria for Volterra equations. Zbl 0522.45006Burton, T. A.; Mahfoud, W. E. 28 1983 A note on stability by Schauder’s theorem. Zbl 1158.34329Burton, T. A.; Furumochi, Tetsuo 28 2001 Stability and periodic solutions of ordinary and functional differential equations. Corrected version of the 1985 original. Zbl 1209.34001Burton, T. A. 28 2005 Fractional differential equations and Lyapunov functionals. Zbl 1226.34004Burton, T. A. 23 2011 Integral equations, Volterra equations, and the remarkable resolvent: contractions. Zbl 1090.45002Burton, T. A. 22 2006 On the delay-differential equations x’(t) + a(t)f(x(t - r(t))) = 0 and x”(t) + a(t)f(x(t - r(t)))=0. Zbl 0344.34065Burton, T. A.; Haddock, John R. 22 1976 Repellers in systems with infinite delay. Zbl 0677.92016Burton, T.; Hutson, V. 21 1989 Perron-type stability theorems for neutral equations. Zbl 1044.34028Burton, T. A. 20 2003 On continuability of solutions of second order differential equations. Zbl 0231.34008Burton, T.; Grimmer, R. 20 1971 Oscillation, continuation, and uniqueness of solutions of retarded differential equations. Zbl 0286.34113Burton, T.; Grimmer, R. 20 1973 Stability theory for Volterra equations. Zbl 0422.45009Burton, T. A. 20 1979 Fractional equations and generalizations of Schaefer’s and Krasnosel’skii’s fixed point theorems. Zbl 1266.34013Burton, T. A.; Zhang, Bo 19 2012 The generalized Lienard equation. Zbl 0135.30201Burton, T. A. 19 1965 On nonuniform asymptotic stability for nonautonomous functional differential equations. Zbl 0736.34068Burton, T. A.; Hatvani, L. 18 1990 Stability properties of \((r(t)u')'+a(t)f(u)g(u') = 0\). Zbl 0195.09804Burton, T. A.; Grimmer, R. C. 18 1970 Permanence for non-autonomous predator-prey systems. Zbl 0733.34053Burton, T. A.; Hutson, V. 16 1991 Upper and lower bounds for Liapunov functionals. Zbl 0687.34067Burton, T. A.; Casal, A.; Somolinos, A. 15 1989 An extension of Liapunov’s direct method. Zbl 0187.34201Burton, T. A. 14 1969 Asymptotic stability for functional differential equations. Zbl 0805.34068Burton, T. A.; Makay, G. 13 1994 Fixed points, Volterra equations, and Becker’s resolvent. Zbl 1091.34040Burton, T. A. 13 2005 Asymptotic stability of second order ordinary, functional, and partial differential equations. Zbl 0779.34042Burton, T. A.; Hatvani, L. 12 1993 Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation. Zbl 0803.34064Burton, T. A.; Zhang, Bo 12 1993 Functional differential equations and Jensen’s inequality. Zbl 0669.34076Becker, Leigh C.; Burton, T. A.; Zhang, Shunian 12 1989 Uniform ultimate boundedness and periodicity in functional differential equations. Zbl 0678.34073Burton, Theodore Allen; Zhang, Bo 12 1990 Boundedness in functional differential equations. Zbl 0515.34064Burton, T. A. 10 1982 Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012Burton, T. A.; Eloe, P. W.; Islam, M. N. 10 1992 Differential inequalities and existence theory for differential, integral, and delay equations. Zbl 0809.34006Burton, T. A. 9 1994 Construction of Ljapunov functionals for Volterra equations. Zbl 0508.45009Burton, T. A. 9 1982 Integral equations, \(L^{p}\)-forcing, remarkable resolvent: Lyapunov functionals. Zbl 1129.45002Burton, T. A. 9 2008 \(L^p\)-solutions of fractional differential equations. Zbl 1300.34015Burton, T. A.; Zhang, Bo 9 2012 Fixed points and fractional differential equations: examples. Zbl 1281.34008Burton, T. A.; Zhang, Bo 9 2013 A unification theory of Krasnoselskii for differential equations. Zbl 1317.34001Burton, T. A.; Purnaras, I. K. 9 2013 On the asymptotic behavior of solutions of \(x''+a(t)f(x)=e(t)\). Zbl 0245.34024Burton, T.; Grimmer, R. 9 1972 Correction to ”An extension of Liapunov’s direct method”. Zbl 0256.34060Burton, T. A. 9 1970 Lyapunov theory for functional differential equations. Zbl 0806.34067Burton, T. A.; Hering, R. H. 8 1994 Basic neutral integral equations of advanced type. Zbl 0888.45005Burton, T. A. 8 1998 Krasnoselskii’s inversion principle and fixed points. Zbl 0894.47041Burton, T. A. 8 1997 Periodic solutions of functional differential equations with infinite delay. Zbl 0691.45010Burton, T. A.; Dwiggins, D. P.; Feng, Youhe 8 1989 A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions. Zbl 1439.45001Burton, T. A. 8 2019 Stability by decompositions for Volterra equations. Zbl 0579.45009Burton, Theodore Allen; Mahfoud, Wadi Elias 8 1985 Liapunov functionals of convolution type. Zbl 0587.34042Burton, T. A.; Huang, Quichang; Mahfoud, W. E. 8 1985 On the asymptotic behaviour of solutions of \(x''+\alpha (t)f(x)=0\). Zbl 0235.34075Burton, T.; Grimmer, R. 8 1971 Periodic solutions of nonlinear Volterra equations. Zbl 0569.45012Burton, T. A. 8 1984 Periodic solutions of linear integro-differential equations. Zbl 0725.45006Burton, T. A.; Eloe, P. W.; Islam, M. N. 7 1990 Fixed points, stability, and harmless perturbations. Zbl 1121.34077Burton, T. A. 7 2005 Stability theory for delay equations. Zbl 0441.34055Burton, T. A. 7 1979 Liapunov functions and boundedness. Zbl 0386.34050Burton, T. A. 7 1977 On solutions of differential equations tending to zero. Zbl 0298.34042Burton, T. A.; Hooker, J. W. 7 1974 Limit circle results for second order equations. Zbl 0339.34028Burton, T. A.; Patula, W. T. 7 1976 Periodic solutions of linear Volterra equations. Zbl 0552.45011Burton, T. A. 7 1984 Uniform stabilities for Volterra equations. Zbl 0454.45004Burton, T. A. 6 1980 Neural networks with memory. Zbl 0746.34043Burton, T. A. 6 1991 Periodicity in delay equations by direct fixed point mapping. Zbl 0992.34053Burton, T. A.; Zhang, Bo 6 1998 Uniform boundedness for delay equations. Zbl 0728.34078Burton, T. A. 6 1990 Stability by fixed point methods for highly nonlinear delay equations. Zbl 1079.34057Burton, T. A. 6 2004 Liapunov theory for integral equations with singular kernels and fractional differential equations. Zbl 1270.45010Burton, T. A. 6 2012 A continuation result for differential equations. Zbl 0379.34001Burton, T. A. 6 1978 Perturbed Volterra equations. Zbl 0501.45009Burton, T. A. 5 1982 Periodic and asymptotically periodic solutions of Volterra integral equations. Zbl 0861.45003Burton, T. A.; Furumochi, Tetsuo 5 1996 Boundedness and periodicity in integral and integro-differential equations. Zbl 0871.45003Burton, T. A. 5 1993 An inversion of a fractional differential equation and fixed points. Zbl 1333.34005Becker, L. C.; Burton, T. A.; Purnaras, I. K. 5 2015 Periodic solutions of integrodifferential equations. Zbl 0577.45008Burton, T. A. 5 1985 Rate of decay of solutions of Volterra equations. Zbl 0579.45008Burton, T. A.; Huang, Qichang; Mahfoud, W. E. 5 1985 Fractional equations and a theorem of Brouwer-Schauder type. Zbl 1293.34008Burton, T. A. 5 2013 Floquet theory for a Volterra equation. Zbl 0645.45006Becker, L. C.; Burton, T. A.; Krisztin, T. 5 1988 \(L^p\)-solutions of singular integro-differential equations. Zbl 1231.45018Burton, T. A.; Purnaras, I. K. 5 2012 Existence and uniqueness results by progressive contractions for integro-differential equations. Zbl 1357.45006Burton, T. A. 5 2016 Asymptotically periodic solutions of fractional differential equations. Zbl 1312.34008Burton, T. A.; Zhang, Bo 5 2013 Integral and fractional equations, positive solutions, and Schaefer’s fixed point theorem. Zbl 1342.34010Becker, L. C.; Burton, T. A.; Purnaras, I. K. 5 2016 An integrodifferential equation. Zbl 0461.45010Burton, T. A. 4 1980 Fixed points and differential equations with asymptotically constant or periodic solutions. Zbl 1083.34055Burton, T. A. 4 2004 Almost periodic solutions of Volterra equations and attractivity. Zbl 0856.45010Burton, T. A.; Furumochi, Tetsuo 4 1996 Existence theorems and periodic solutions of neutral integral equations. Zbl 0971.45003Burton, T. A.; Furumochi, Tetsuo 4 2001 A Liapunov functional for a linear integral equation. Zbl 1193.45011Burton, T. A. 4 2010 Qualitative properties of solutions of integral equations. Zbl 1184.45001Burton, T. A.; Haddock, John R. 4 2009 Stability and fixed points: addition of terms. Zbl 1133.34364Burton, T. A. 4 2004 A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions. Zbl 1439.45001Burton, T. A. 8 2019 Progressive contractions, measures of non-compactness and quadratic integral equations. Zbl 1432.45003Burton, T. A.; Purnaras, I. K. 1 2019 Krasnoselskii’s theorem, integral equations, open mappings, and non-uniqueness. Zbl 1479.47043Burton, T. A.; Purnaras, I. K. 1 2018 Global existence of solutions of integral equations with delay: progressive contractions. Zbl 1424.45005Burton, Theodore; Purnaras, Ioannis 2 2017 A NASC for equicontinuous maps for integral equations. Zbl 1474.45019Burton, T. A.; Zhang, Bo 2 2017 Existence and uniqueness results by progressive contractions for integro-differential equations. Zbl 1357.45006Burton, T. A. 5 2016 Integral and fractional equations, positive solutions, and Schaefer’s fixed point theorem. Zbl 1342.34010Becker, L. C.; Burton, T. A.; Purnaras, I. K. 5 2016 An inversion of a fractional differential equation and fixed points. Zbl 1333.34005Becker, L. C.; Burton, T. A.; Purnaras, I. K. 5 2015 Complementary equations: a fractional differential equation and a Volterra integral equation. Zbl 1349.34005Becker, Leigh; Burton, Theodore; Purnaras, Ioannis 2 2015 A Schauder-type fixed point theorem. Zbl 1304.54073Burton, T. A.; Zhang, Bo 3 2014 Fixed points and fractional differential equations: examples. Zbl 1281.34008Burton, T. A.; Zhang, Bo 9 2013 A unification theory of Krasnoselskii for differential equations. Zbl 1317.34001Burton, T. A.; Purnaras, I. K. 9 2013 Fractional equations and a theorem of Brouwer-Schauder type. Zbl 1293.34008Burton, T. A. 5 2013 Asymptotically periodic solutions of fractional differential equations. Zbl 1312.34008Burton, T. A.; Zhang, Bo 5 2013 Singular integro-differential equations with small kernels. Zbl 1277.45010Burton, T. A.; Purnaras, I. K. 1 2013 Fractional equations and generalizations of Schaefer’s and Krasnosel’skii’s fixed point theorems. Zbl 1266.34013Burton, T. A.; Zhang, Bo 19 2012 \(L^p\)-solutions of fractional differential equations. Zbl 1300.34015Burton, T. A.; Zhang, Bo 9 2012 Liapunov theory for integral equations with singular kernels and fractional differential equations. Zbl 1270.45010Burton, T. A. 6 2012 \(L^p\)-solutions of singular integro-differential equations. Zbl 1231.45018Burton, T. A.; Purnaras, I. K. 5 2012 Singular integral equations, Liapunov functionals, and resolvents. Zbl 1241.45003Becker, Leigh C.; Burton, T. A.; Purnaras, I. K. 2 2012 Fractional differential equations and Lyapunov functionals. Zbl 1226.34004Burton, T. A. 23 2011 Resolvents of integral equations with continuous kernels. Zbl 1233.45001Burton, T. A.; Dwiggins, D. P. 4 2011 Periodic solutions of singular integral equations. Zbl 1298.45002Burton, T. A.; Zhang, B. 2 2011 A Liapunov functional for a linear integral equation. Zbl 1193.45011Burton, T. A. 4 2010 A Liapunov functional for a singular integral equation. Zbl 1219.45001Burton, T. A. 4 2010 Parallel theories of integral equations. Zbl 1213.45001Burton, T. A.; Haddock, John R. 2 2010 Resolvents, integral equations, limit sets. Zbl 1224.45001Burton, T. A.; Dwiggins, D. P. 1 2010 Qualitative properties of solutions of integral equations. Zbl 1184.45001Burton, T. A.; Haddock, John R. 4 2009 Integral equations, \(L^{p}\)-forcing, remarkable resolvent: Lyapunov functionals. Zbl 1129.45002Burton, T. A. 9 2008 Scalar nonlinear integral equations. Zbl 1164.47054Burton, Theodore A. 1 2007 Stability by fixed point theory for functional differential equations. Zbl 1160.34001Burton, T. A. 122 2006 Stability, fixed points and inverses of delays. Zbl 1112.34054Becker, Leigh C.; Burton, T. A. 29 2006 Integral equations, Volterra equations, and the remarkable resolvent: contractions. Zbl 1090.45002Burton, T. A. 22 2006 Volterra integral and differential equations. 2nd ed. Zbl 1075.45001Burton, T. A. 105 2005 Fixed points, stability, and exact linearization. Zbl 1067.34077Burton, T. A. 38 2005 Stability and periodic solutions of ordinary and functional differential equations. Corrected version of the 1985 original. Zbl 1209.34001Burton, T. A. 28 2005 Fixed points, Volterra equations, and Becker’s resolvent. Zbl 1091.34040Burton, T. A. 13 2005 Fixed points, stability, and harmless perturbations. Zbl 1121.34077Burton, T. A. 7 2005 Asymptotic behavior of nonlinear functional differential equations by Schauder’s theorem. Zbl 1068.34071Burton, T. A.; Furumochi, Tetsuo 1 2005 Fixed points and stability of a nonconvolution equation. Zbl 1050.34110Burton, T. A. 45 2004 Fixed points and stability of an integral equation: nonuniqueness. Zbl 1066.45002Burton, T. A.; Zhang, Bo 40 2004 Stability by fixed point methods for highly nonlinear delay equations. Zbl 1079.34057Burton, T. A. 6 2004 Fixed points and differential equations with asymptotically constant or periodic solutions. Zbl 1083.34055Burton, T. A. 4 2004 Stability and fixed points: addition of terms. Zbl 1133.34364Burton, T. A. 4 2004 Jensen’s inequality and Liapunov’s direct method. Zbl 1092.34036Becker, Leigh C.; Burton, T. A. 1 2004 Liénard equations, delays, and harmless perturbations. Zbl 1088.34063Burton, T. A. 1 2004 Stability by fixed point theory or Liapunov theory: a comparison. Zbl 1061.47065Burton, T. A. 50 2003 Perron-type stability theorems for neutral equations. Zbl 1044.34028Burton, T. A. 20 2003 Krasnoselskii’s fixed point theorem and stability. Zbl 1015.34046Burton, T. A.; Furumochi, Tetsuo 55 2002 Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem. Zbl 1084.47522Burton, T. A. 34 2002 Asymptotic behavior of solutions of functional differential equations by fixed point theorems. Zbl 1044.34033Burton, T. A.; Furumochi, Tetsuo 29 2002 Continuity, compactness, fixed points, and integral equations. Zbl 1022.45001Burton, T. A.; Makay, Géza 4 2002 Fixed points, differential equations, and proper mappings. Zbl 1035.47057Burton, T. A. 2 2002 Fixed points and problems in stability theory for ordinary and functional differential equations. Zbl 1021.34042Burton, T. A.; Furumochi, Tetsuo 38 2001 A note on stability by Schauder’s theorem. Zbl 1158.34329Burton, T. A.; Furumochi, Tetsuo 28 2001 Existence theorems and periodic solutions of neutral integral equations. Zbl 0971.45003Burton, T. A.; Furumochi, Tetsuo 4 2001 Neutral integral equations of retarded type. Zbl 0961.45005Burton, T. A.; Hering, R. H. 1 2000 Periodic and asymptotically periodic solutions of neutral integral equations. Zbl 0967.45003Burton, T. A.; Furumochi, Tetsuo 1 2000 Asymptotic stability in differential equations with unbounded delay. Zbl 0948.34048Burton, T. A.; Somolinos, Alfredo 2 1999 A fixed-point theorem of Krasnoselskii. Zbl 1127.47318Burton, T. A. 118 1998 A fixed point theorem of Krasnoselskii-Schaefer type. Zbl 0896.47042Burton, T. A.; Kirk, Colleen 87 1998 Basic neutral integral equations of advanced type. Zbl 0888.45005Burton, T. A. 8 1998 Periodicity in delay equations by direct fixed point mapping. Zbl 0992.34053Burton, T. A.; Zhang, Bo 6 1998 Marachkov type stability results for functional differential equations. Zbl 0891.34071Burton, T. A.; Makay, G. 1 1998 Krasnoselskii’s inversion principle and fixed points. Zbl 0894.47041Burton, T. A. 8 1997 Integral equations, implicit functions, and fixed points. Zbl 0873.45003Burton, T. A. 48 1996 Periodic and asymptotically periodic solutions of Volterra integral equations. Zbl 0861.45003Burton, T. A.; Furumochi, Tetsuo 5 1996 Almost periodic solutions of Volterra equations and attractivity. Zbl 0856.45010Burton, T. A.; Furumochi, Tetsuo 4 1996 Integral equations with a delay. Zbl 0864.34066Burton, T. A. 1 1996 Examples of Lyapunov functionals for non-differentiated equations. Zbl 0843.45007Burton, T. A. 1 1996 Correction to ”Periodic solutions of a forced Liénard equation”. Zbl 0844.34033Burton, T. A. 1 1995 Asymptotic stability for functional differential equations. Zbl 0805.34068Burton, T. A.; Makay, G. 13 1994 Differential inequalities and existence theory for differential, integral, and delay equations. Zbl 0809.34006Burton, T. A. 9 1994 Lyapunov theory for functional differential equations. Zbl 0806.34067Burton, T. A.; Hering, R. H. 8 1994 Periodic solutions of a forced Liénard equation. Zbl 0812.34036Burton, T. A. 3 1994 Periodic solutions of Volterra equations and attractivity. Zbl 0811.45001Burton, T. A.; Furumochi, Tetsuo 1 1994 A stability theory for integral equations. Zbl 0833.45009Burton, T. A.; Furumochi, Tetsuo 1 1994 Asymptotic stability of second order ordinary, functional, and partial differential equations. Zbl 0779.34042Burton, T. A.; Hatvani, L. 12 1993 Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation. Zbl 0803.34064Burton, T. A.; Zhang, Bo 12 1993 Boundedness and periodicity in integral and integro-differential equations. Zbl 0871.45003Burton, T. A. 5 1993 Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012Burton, T. A.; Eloe, P. W.; Islam, M. N. 10 1992 A priori bounds and stability in the retarded nonlinear wave equation. Zbl 0755.35007Burton, T. A.; Zhang, Bo 3 1992 A wave equation viewed as an ordinary differential equation. Zbl 0799.35155Burton, T. A.; Terjéki, Jozsef; Zhang, Bo 1 1992 Periodic solutions of abstract differential equations with infinite delay. Zbl 0760.34060Burton, T. A.; Zhang, Bo 29 1991 Permanence for non-autonomous predator-prey systems. Zbl 0733.34053Burton, T. A.; Hutson, V. 16 1991 Neural networks with memory. Zbl 0746.34043Burton, T. A. 6 1991 On the existence of periodic solutions of some nonlinear functional differential equations with unbounded delay. Zbl 0736.34059Burton, T. A.; Hatvani, L. 3 1991 Continuity in functional differential equations with infinite delay. Zbl 0743.34068Burton, T. A.; Feng, Youhe 2 1991 The nonlinear wave equation as a Liénard equation. Zbl 0764.35065Burton, T. A. 2 1991 On nonuniform asymptotic stability for nonautonomous functional differential equations. Zbl 0736.34068Burton, T. A.; Hatvani, L. 18 1990 Uniform ultimate boundedness and periodicity in functional differential equations. Zbl 0678.34073Burton, Theodore Allen; Zhang, Bo 12 1990 Periodic solutions of linear integro-differential equations. Zbl 0725.45006Burton, T. A.; Eloe, P. W.; Islam, M. N. 7 1990 Uniform boundedness for delay equations. Zbl 0728.34078Burton, T. A. 6 1990 Lyapunov functionals and periodic solutions. Zbl 0711.34052Burton, T. A. 1 1990 Stability theorems for nonautonomous functional differential equations by Lyapunov functionals. Zbl 0677.34060Burton, Theodore; Hatvani, László 37 1989 Repellers in systems with infinite delay. Zbl 0677.92016Burton, T.; Hutson, V. 21 1989 Upper and lower bounds for Liapunov functionals. Zbl 0687.34067Burton, T. A.; Casal, A.; Somolinos, A. 15 1989 Functional differential equations and Jensen’s inequality. Zbl 0669.34076Becker, Leigh C.; Burton, T. A.; Zhang, Shunian 12 1989 Periodic solutions of functional differential equations with infinite delay. Zbl 0691.45010Burton, T. A.; Dwiggins, D. P.; Feng, Youhe 8 1989 Boundedness in infinite delay systems. Zbl 0683.34036Burton, T. A.; Hering, R. H. 2 1989 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,544 Authors 76 Burton, Theodore Allen 47 Ardjouni, Abdelouaheb 41 Tunç, Cemil 38 Djoudi, Ahcene 21 Agarwal, Ravi P. 20 de la Sen, Manuel 17 Berezansky, Leonid M. 17 Huang, Lihong 17 Liu, Bingwen 17 Raffoul, Youssef Naim 17 Sugie, Jitsuro 16 Graef, John R. 15 Benchohra, Mouffak 14 Shah, Kamal 14 Teng, Zhi-dong 14 Zhang, Bo 13 Banaś, Józef 13 Domoshnitsky, Alexander I. 13 Haddock, John R. 13 Remili, Moussadek 12 Abdeljawad, Thabet 12 Balachandran, Krishnan 12 Mesmouli, Mouataz Billah 11 O’Regan, Donal 11 Pinto, Manuel 10 Ademola, Adeleke Timothy 10 Dhage, Bapurao C. 10 Furumochi, Tetsuo 10 Grace, Said Rezk 10 Hara, Tadayuki 10 Hatvani, László 10 Purnaras, Ioannis K. 10 Wang, Ke 9 Abdo, Mohammed Salem 9 Jiang, Haijun 9 Li, Yong 9 Luo, Jiaowan 9 Mahfoud, Wadi Elias 9 Nguyen Thieu Huy 9 Stamova, Ivanka Milkova 9 Taoudi, Mohamed Aziz 9 Wu, Jianhong 8 Becker, Leigh C. 8 Ben Amar, Afif 8 Braverman, Elena 8 Huang, Qichang 8 Pham Huu Anh Ngoc 8 Yang, Xue 8 Yoneyama, Toshiaki 7 Brunner, Hermann 7 Caraballo Garrido, Tomás 7 Islam, Muhammad Nazmul 7 Li, Zhixiang 7 Martynyuk, Anatoliĭ Andriĭovych 7 Nieto Roig, Juan Jose 7 Ogundare, Babatunde Sunday 7 Spikes, Paul W. 7 Vecchio, Antonia 7 Vladimirescu, Cristian 7 Zhang, Shunian 6 Adesina, Olufemi Adeyinka 6 Boulares, Hamid 6 Cao, Jinde 6 Diblík, Josef 6 Gil’, Michael Iosif 6 Grimmer, Ronald 6 Jeribi, Aref 6 Messina, Eleonora 6 Ogundiran, Michael Oluniyi 6 Oudjedi, Lynda Damerdji 6 Panchal, Satish Kushaba 6 Rus, Ioan A. 6 Sergeev, V. S. 6 Wang, Tingxiu 6 Xiang, Tian 6 Yan, Zuomao 6 Zanolin, Fabio 5 Abbas, Said 5 Akhmet, Marat Ubaydulla 5 Alzabut, Jehad O. 5 Benhadri, Mimia 5 Erbe, Lynn Harry 5 Ezzinbi, Khalil 5 Hamaya, Yoshihiro 5 Henríquez, Hernán R. 5 Jiang, Daqing 5 Latrach, Khalid 5 Li, Qiang 5 Liang, Jin 5 Liu, James Hetao 5 Liu, Xinzhi 5 Liu, Yicheng 5 Makay, Géza 5 Maleknejad, Khosrow 5 Petruşel, Adrian 5 Pierri, Michelle 5 Plebaniak, Robert 5 Shen, Jianhua 5 Šmarda, Zdeněk 5 Spadini, Marco ...and 1,444 more Authors all top 5 Cited in 287 Serials 141 Journal of Mathematical Analysis and Applications 91 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 Applied Mathematics and Computation 49 Nonlinear Analysis. Theory, Methods & Applications 37 Journal of Differential Equations 33 Advances in Difference Equations 29 Journal of Computational and Applied Mathematics 28 Applied Mathematics Letters 27 Nonlinear Analysis. 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Mathematica 4 Asian Journal of Control 3 Journal of Mathematical Physics 3 Periodica Mathematica Hungarica 3 Acta Mathematica Vietnamica 3 Czechoslovak Mathematical Journal ...and 187 more Serials all top 5 Cited in 37 Fields 935 Ordinary differential equations (34-XX) 361 Operator theory (47-XX) 353 Integral equations (45-XX) 127 Biology and other natural sciences (92-XX) 122 Systems theory; control (93-XX) 109 Partial differential equations (35-XX) 81 Numerical analysis (65-XX) 75 Real functions (26-XX) 73 Dynamical systems and ergodic theory (37-XX) 69 Probability theory and stochastic processes (60-XX) 60 Difference and functional equations (39-XX) 31 General topology (54-XX) 16 Computer science (68-XX) 11 Functional analysis (46-XX) 11 Mechanics of particles and systems (70-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Mechanics of deformable solids (74-XX) 7 Abstract harmonic analysis (43-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 7 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year