## Burton, Theodore Allen

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 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 515 Co-Co-Authors
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### 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

159 Publications have been cited 2,520 times in 1,483 Documents Cited by Year
Stability and periodic solutions of ordinary and functional differential equations. Zbl 0635.34001
Burton, T. A.
1985
Volterra integral and differential equations. Zbl 0515.45001
Burton, T. A.
1983
Stability by fixed point theory for functional differential equations. Zbl 1160.34001
Burton, T. A.
2006
A fixed-point theorem of Krasnoselskii. Zbl 1127.47318
Burton, T. A.
1998
Volterra integral and differential equations. 2nd ed. Zbl 1075.45001
Burton, T. A.
2005
A fixed point theorem of Krasnoselskii-Schaefer type. Zbl 0896.47042
Burton, T. A.; Kirk, Colleen
1998
Krasnoselskii’s fixed point theorem and stability. Zbl 1015.34046
Burton, T. A.; Furumochi, Tetsuo
2002
Stability by fixed point theory or Liapunov theory: a comparison. Zbl 1061.47065
Burton, T. A.
2003
Integral equations, implicit functions, and fixed points. Zbl 0873.45003
Burton, T. A.
1996
Fixed points and stability of a nonconvolution equation. Zbl 1050.34110
Burton, T. A.
2004
Unified boundedness, periodicity, and stability in ordinary and functional differential equations. Zbl 0626.34038
Burton, T. A.; Zhang, Shunian
1986
Fixed points and stability of an integral equation: nonuniqueness. Zbl 1066.45002
Burton, T. A.; Zhang, Bo
2004
Fixed points, stability, and exact linearization. Zbl 1067.34077
Burton, T. A.
2005
Stability theorems for nonautonomous functional differential equations by Lyapunov functionals. Zbl 0677.34060
Burton, Theodore; Hatvani, László
1989
On the generalized Lienard equation with forcing function. Zbl 0174.13602
Burton, T. A.; Townsend, C. G.
1968
Fixed points and problems in stability theory for ordinary and functional differential equations. Zbl 1021.34042
Burton, T. A.; Furumochi, Tetsuo
2001
On the equation $$x'' +f(x)h(x')x' +g(x) = e(t)$$. Zbl 0194.40203
Burton, T. A.
1970
Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem. Zbl 1084.47522
Burton, T. A.
2002
Some properties of solutions of $$u''(t)+a(t)f(u)g(u') = 0$$. II. Zbl 0142.06402
Wong, J. S. W.; Burton, T. A.
1965
Uniform asymptotic stability in functional differential equations. Zbl 0378.34058
Burton, T. A.
1978
Periodic solutions to functional differential equations. Zbl 0582.34077
Arino, O. A.; Burton, T. A.; Haddock, J. R.
1985
Periodic solutions of abstract differential equations with infinite delay. Zbl 0760.34060
Burton, T. A.; Zhang, Bo
1991
Stability criteria for Volterra equations. Zbl 0522.45006
Burton, T. A.; Mahfoud, W. E.
1983
Stability, fixed points and inverses of delays. Zbl 1112.34054
Becker, Leigh C.; Burton, T. A.
2006
A note on stability by Schauder’s theorem. Zbl 1158.34329
Burton, T. A.; Furumochi, Tetsuo
2001
Stability and periodic solutions of ordinary and functional differential equations. Corrected version of the 1985 original. Zbl 1209.34001
Burton, T. A.
2005
Asymptotic behavior of solutions of functional differential equations by fixed point theorems. Zbl 1044.34033
Burton, T. A.; Furumochi, Tetsuo
2002
Fractional differential equations and Lyapunov functionals. Zbl 1226.34004
Burton, T. A.
2011
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 0344.34065
Burton, T. A.; Haddock, John R.
1976
Integral equations, Volterra equations, and the remarkable resolvent: contractions. Zbl 1090.45002
Burton, T. A.
2006
Repellers in systems with infinite delay. Zbl 0677.92016
Burton, T.; Hutson, V.
1989
On continuability of solutions of second order differential equations. Zbl 0231.34008
Burton, T.; Grimmer, R.
1971
Oscillation, continuation, and uniqueness of solutions of retarded differential equations. Zbl 0286.34113
Burton, T.; Grimmer, R.
1973
Stability theory for Volterra equations. Zbl 0422.45009
Burton, T. A.
1979
Perron-type stability theorems for neutral equations. Zbl 1044.34028
Burton, T. A.
2003
The generalized Lienard equation. Zbl 0135.30201
Burton, T. A.
1965
Fractional equations and generalizations of Schaefer’s and Krasnosel’skii’s fixed point theorems. Zbl 1266.34013
Burton, T. A.; Zhang, Bo
2012
Stability properties of $$(r(t)u')'+a(t)f(u)g(u') = 0$$. Zbl 0195.09804
Burton, T. A.; Grimmer, R. C.
1970
On nonuniform asymptotic stability for nonautonomous functional differential equations. Zbl 0736.34068
Burton, T. A.; Hatvani, L.
1990
Permanence for non-autonomous predator-prey systems. Zbl 0733.34053
Burton, T. A.; Hutson, V.
1991
Upper and lower bounds for Liapunov functionals. Zbl 0687.34067
Burton, T. A.; Casal, A.; Somolinos, A.
1989
An extension of Liapunov’s direct method. Zbl 0187.34201
Burton, T. A.
1969
Fixed points, Volterra equations, and Becker’s resolvent. Zbl 1091.34040
Burton, T. A.
2005
Asymptotic stability for functional differential equations. Zbl 0805.34068
Burton, T. A.; Makay, G.
1994
Functional differential equations and Jensen’s inequality. Zbl 0669.34076
Becker, Leigh C.; Burton, T. A.; Zhang, Shunian
1989
Uniform ultimate boundedness and periodicity in functional differential equations. Zbl 0678.34073
Burton, Theodore Allen; Zhang, Bo
1990
Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation. Zbl 0803.34064
Burton, T. A.; Zhang, Bo
1993
Asymptotic stability of second order ordinary, functional, and partial differential equations. Zbl 0779.34042
Burton, T. A.; Hatvani, L.
1993
Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012
Burton, T. A.; Eloe, P. W.; Islam, M. N.
1992
Boundedness in functional differential equations. Zbl 0515.34064
Burton, T. A.
1982
On the asymptotic behavior of solutions of $$x''+a(t)f(x)=e(t)$$. Zbl 0245.34024
Burton, T.; Grimmer, R.
1972
Correction to ”An extension of Liapunov’s direct method”. Zbl 0256.34060
Burton, T. A.
1970
Construction of Ljapunov functionals for Volterra equations. Zbl 0508.45009
Burton, T. A.
1982
Differential inequalities and existence theory for differential, integral, and delay equations. Zbl 0809.34006
Burton, T. A.
1994
Integral equations, $$L^{p}$$-forcing, remarkable resolvent: Lyapunov functionals. Zbl 1129.45002
Burton, T. A.
2008
Fixed points and fractional differential equations: examples. Zbl 1281.34008
Burton, T. A.; Zhang, Bo
2013
A unification theory of Krasnoselskii for differential equations. Zbl 1317.34001
Burton, T. A.; Purnaras, I. K.
2013
$$L^p$$-solutions of fractional differential equations. Zbl 1300.34015
Burton, T. A.; Zhang, Bo
2012
On the asymptotic behaviour of solutions of $$x''+\alpha (t)f(x)=0$$. Zbl 0235.34075
Burton, T.; Grimmer, R.
1971
Periodic solutions of nonlinear Volterra equations. Zbl 0569.45012
Burton, T. A.
1984
Periodic solutions of functional differential equations with infinite delay. Zbl 0691.45010
Burton, T. A.; Dwiggins, D. P.; Feng, Youhe
1989
Basic neutral integral equations of advanced type. Zbl 0888.45005
Burton, T. A.
1998
Krasnoselskii’s inversion principle and fixed points. Zbl 0894.47041
Burton, T. A.
1997
Lyapunov theory for functional differential equations. Zbl 0806.34067
Burton, T. A.; Hering, R. H.
1994
Stability by decompositions for Volterra equations. Zbl 0579.45009
Burton, Theodore Allen; Mahfoud, Wadi Elias
1985
Liapunov functionals of convolution type. Zbl 0587.34042
Burton, T. A.; Huang, Quichang; Mahfoud, W. E.
1985
A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions. Zbl 1439.45001
Burton, T. A.
2019
Fixed points, stability, and harmless perturbations. Zbl 1121.34077
Burton, T. A.
2005
On solutions of differential equations tending to zero. Zbl 0298.34042
Burton, T. A.; Hooker, J. W.
1974
Periodic solutions of linear integro-differential equations. Zbl 0725.45006
Burton, T. A.; Eloe, P. W.; Islam, M. N.
1990
Periodic solutions of linear Volterra equations. Zbl 0552.45011
Burton, T. A.
1984
Liapunov functions and boundedness. Zbl 0386.34050
Burton, T. A.
1977
Stability theory for delay equations. Zbl 0441.34055
Burton, T. A.
1979
Limit circle results for second order equations. Zbl 0339.34028
Burton, T. A.; Patula, W. T.
1976
Periodicity in delay equations by direct fixed point mapping. Zbl 0992.34053
Burton, T. A.; Zhang, Bo
1998
Neural networks with memory. Zbl 0746.34043
Burton, T. A.
1991
Uniform stabilities for Volterra equations. Zbl 0454.45004
Burton, T. A.
1980
Uniform boundedness for delay equations. Zbl 0728.34078
Burton, T. A.
1990
Liapunov theory for integral equations with singular kernels and fractional differential equations. Zbl 1270.45010
Burton, T. A.
2012
A continuation result for differential equations. Zbl 0379.34001
Burton, T. A.
1978
Stability by fixed point methods for highly nonlinear delay equations. Zbl 1079.34057
Burton, T. A.
2004
Floquet theory for a Volterra equation. Zbl 0645.45006
Becker, L. C.; Burton, T. A.; Krisztin, T.
1988
Perturbed Volterra equations. Zbl 0501.45009
Burton, T. A.
1982
Periodic solutions of integrodifferential equations. Zbl 0577.45008
Burton, T. A.
1985
Boundedness and periodicity in integral and integro-differential equations. Zbl 0871.45003
Burton, T. A.
1993
$$L^p$$-solutions of singular integro-differential equations. Zbl 1231.45018
Burton, T. A.; Purnaras, I. K.
2012
Asymptotically periodic solutions of fractional differential equations. Zbl 1312.34008
Burton, T. A.; Zhang, Bo
2013
Rate of decay of solutions of Volterra equations. Zbl 0579.45008
Burton, T. A.; Huang, Qichang; Mahfoud, W. E.
1985
Periodic and asymptotically periodic solutions of Volterra integral equations. Zbl 0861.45003
Burton, T. A.; Furumochi, Tetsuo
1996
Existence and uniqueness results by progressive contractions for integro-differential equations. Zbl 1357.45006
Burton, T. A.
2016
Integral and fractional equations, positive solutions, and Schaefer’s fixed point theorem. Zbl 1342.34010
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
2016
Fractional equations and a theorem of Brouwer-Schauder type. Zbl 1293.34008
Burton, T. A.
2013
An inversion of a fractional differential equation and fixed points. Zbl 1333.34005
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
2015
Existence theorems and periodic solutions of neutral integral equations. Zbl 0971.45003
Burton, T. A.; Furumochi, Tetsuo
2001
Continuity, compactness, fixed points, and integral equations. Zbl 1022.45001
Burton, T. A.; Makay, Géza
2002
Fixed points and differential equations with asymptotically constant or periodic solutions. Zbl 1083.34055
Burton, T. A.
2004
Stability regions of the forced Lienard equation. Zbl 0238.34068
Burton, T. A.; Townsend, C. G.
1971
Oscillatory solutions of $$x''(t)+a(t)f(x(q(t)))=0$$. Zbl 0304.34069
Burton, T.; Grimmer, R.
1972
An integrodifferential equation. Zbl 0461.45010
Burton, T. A.
1980
Resolvents of integral equations with continuous kernels. Zbl 1233.45001
Burton, T. A.; Dwiggins, D. P.
2011
A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions. Zbl 1439.45001
Burton, T. A.
2019
Progressive contractions, measures of non-compactness and quadratic integral equations. Zbl 1432.45003
Burton, T. A.; Purnaras, I. K.
2019
Krasnoselskii’s theorem, integral equations, open mappings, and non-uniqueness. Zbl 1479.47043
Burton, T. A.; Purnaras, I. K.
2018
Global existence of solutions of integral equations with delay: progressive contractions. Zbl 1424.45005
Burton, Theodore; Purnaras, Ioannis
2017
A NASC for equicontinuous maps for integral equations. Zbl 1474.45019
Burton, T. A.; Zhang, Bo
2017
Existence and uniqueness results by progressive contractions for integro-differential equations. Zbl 1357.45006
Burton, T. A.
2016
Integral and fractional equations, positive solutions, and Schaefer’s fixed point theorem. Zbl 1342.34010
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
2016
An inversion of a fractional differential equation and fixed points. Zbl 1333.34005
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
2015
Complementary equations: a fractional differential equation and a Volterra integral equation. Zbl 1349.34005
Becker, Leigh; Burton, Theodore; Purnaras, Ioannis
2015
A Schauder-type fixed point theorem. Zbl 1304.54073
Burton, T. A.; Zhang, Bo
2014
Fixed points and fractional differential equations: examples. Zbl 1281.34008
Burton, T. A.; Zhang, Bo
2013
A unification theory of Krasnoselskii for differential equations. Zbl 1317.34001
Burton, T. A.; Purnaras, I. K.
2013
Asymptotically periodic solutions of fractional differential equations. Zbl 1312.34008
Burton, T. A.; Zhang, Bo
2013
Fractional equations and a theorem of Brouwer-Schauder type. Zbl 1293.34008
Burton, T. A.
2013
Singular integro-differential equations with small kernels. Zbl 1277.45010
Burton, T. A.; Purnaras, I. K.
2013
Fractional equations and generalizations of Schaefer’s and Krasnosel’skii’s fixed point theorems. Zbl 1266.34013
Burton, T. A.; Zhang, Bo
2012
$$L^p$$-solutions of fractional differential equations. Zbl 1300.34015
Burton, T. A.; Zhang, Bo
2012
Liapunov theory for integral equations with singular kernels and fractional differential equations. Zbl 1270.45010
Burton, T. A.
2012
$$L^p$$-solutions of singular integro-differential equations. Zbl 1231.45018
Burton, T. A.; Purnaras, I. K.
2012
Singular integral equations, Liapunov functionals, and resolvents. Zbl 1241.45003
Becker, Leigh C.; Burton, T. A.; Purnaras, I. K.
2012
Fractional differential equations and Lyapunov functionals. Zbl 1226.34004
Burton, T. A.
2011
Resolvents of integral equations with continuous kernels. Zbl 1233.45001
Burton, T. A.; Dwiggins, D. P.
2011
Periodic solutions of singular integral equations. Zbl 1298.45002
Burton, T. A.; Zhang, B.
2011
A Liapunov functional for a linear integral equation. Zbl 1193.45011
Burton, T. A.
2010
A Liapunov functional for a singular integral equation. Zbl 1219.45001
Burton, T. A.
2010
Parallel theories of integral equations. Zbl 1213.45001
Burton, T. A.; Haddock, John R.
2010
Resolvents, integral equations, limit sets. Zbl 1224.45001
Burton, T. A.; Dwiggins, D. P.
2010
Qualitative properties of solutions of integral equations. Zbl 1184.45001
Burton, T. A.; Haddock, John R.
2009
Integral equations, $$L^{p}$$-forcing, remarkable resolvent: Lyapunov functionals. Zbl 1129.45002
Burton, T. A.
2008
Scalar nonlinear integral equations. Zbl 1164.47054
Burton, Theodore A.
2007
Stability by fixed point theory for functional differential equations. Zbl 1160.34001
Burton, T. A.
2006
Stability, fixed points and inverses of delays. Zbl 1112.34054
Becker, Leigh C.; Burton, T. A.
2006
Integral equations, Volterra equations, and the remarkable resolvent: contractions. Zbl 1090.45002
Burton, T. A.
2006
Volterra integral and differential equations. 2nd ed. Zbl 1075.45001
Burton, T. A.
2005
Fixed points, stability, and exact linearization. Zbl 1067.34077
Burton, T. A.
2005
Stability and periodic solutions of ordinary and functional differential equations. Corrected version of the 1985 original. Zbl 1209.34001
Burton, T. A.
2005
Fixed points, Volterra equations, and Becker’s resolvent. Zbl 1091.34040
Burton, T. A.
2005
Fixed points, stability, and harmless perturbations. Zbl 1121.34077
Burton, T. A.
2005
Asymptotic behavior of nonlinear functional differential equations by Schauder’s theorem. Zbl 1068.34071
Burton, T. A.; Furumochi, Tetsuo
2005
Fixed points and stability of a nonconvolution equation. Zbl 1050.34110
Burton, T. A.
2004
Fixed points and stability of an integral equation: nonuniqueness. Zbl 1066.45002
Burton, T. A.; Zhang, Bo
2004
Stability by fixed point methods for highly nonlinear delay equations. Zbl 1079.34057
Burton, T. A.
2004
Fixed points and differential equations with asymptotically constant or periodic solutions. Zbl 1083.34055
Burton, T. A.
2004
Stability and fixed points: addition of terms. Zbl 1133.34364
Burton, T. A.
2004
Jensen’s inequality and Liapunov’s direct method. Zbl 1092.34036
Becker, Leigh C.; Burton, T. A.
2004
Liénard equations, delays, and harmless perturbations. Zbl 1088.34063
Burton, T. A.
2004
Stability by fixed point theory or Liapunov theory: a comparison. Zbl 1061.47065
Burton, T. A.
2003
Perron-type stability theorems for neutral equations. Zbl 1044.34028
Burton, T. A.
2003
Krasnoselskii’s fixed point theorem and stability. Zbl 1015.34046
Burton, T. A.; Furumochi, Tetsuo
2002
Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem. Zbl 1084.47522
Burton, T. A.
2002
Asymptotic behavior of solutions of functional differential equations by fixed point theorems. Zbl 1044.34033
Burton, T. A.; Furumochi, Tetsuo
2002
Continuity, compactness, fixed points, and integral equations. Zbl 1022.45001
Burton, T. A.; Makay, Géza
2002
Fixed points, differential equations, and proper mappings. Zbl 1035.47057
Burton, T. A.
2002
Fixed points and problems in stability theory for ordinary and functional differential equations. Zbl 1021.34042
Burton, T. A.; Furumochi, Tetsuo
2001
A note on stability by Schauder’s theorem. Zbl 1158.34329
Burton, T. A.; Furumochi, Tetsuo
2001
Existence theorems and periodic solutions of neutral integral equations. Zbl 0971.45003
Burton, T. A.; Furumochi, Tetsuo
2001
Neutral integral equations of retarded type. Zbl 0961.45005
Burton, T. A.; Hering, R. H.
2000
Periodic and asymptotically periodic solutions of neutral integral equations. Zbl 0967.45003
Burton, T. A.; Furumochi, Tetsuo
2000
Asymptotic stability in differential equations with unbounded delay. Zbl 0948.34048
Burton, T. A.; Somolinos, Alfredo
1999
A fixed-point theorem of Krasnoselskii. Zbl 1127.47318
Burton, T. A.
1998
A fixed point theorem of Krasnoselskii-Schaefer type. Zbl 0896.47042
Burton, T. A.; Kirk, Colleen
1998
Basic neutral integral equations of advanced type. Zbl 0888.45005
Burton, T. A.
1998
Periodicity in delay equations by direct fixed point mapping. Zbl 0992.34053
Burton, T. A.; Zhang, Bo
1998
Marachkov type stability results for functional differential equations. Zbl 0891.34071
Burton, T. A.; Makay, G.
1998
Krasnoselskii’s inversion principle and fixed points. Zbl 0894.47041
Burton, T. A.
1997
Integral equations, implicit functions, and fixed points. Zbl 0873.45003
Burton, T. A.
1996
Periodic and asymptotically periodic solutions of Volterra integral equations. Zbl 0861.45003
Burton, T. A.; Furumochi, Tetsuo
1996
Almost periodic solutions of Volterra equations and attractivity. Zbl 0856.45010
Burton, T. A.; Furumochi, Tetsuo
1996
Examples of Lyapunov functionals for non-differentiated equations. Zbl 0843.45007
Burton, T. A.
1996
Integral equations with a delay. Zbl 0864.34066
Burton, T. A.
1996
Correction to ”Periodic solutions of a forced Liénard equation”. Zbl 0844.34033
Burton, T. A.
1995
Asymptotic stability for functional differential equations. Zbl 0805.34068
Burton, T. A.; Makay, G.
1994
Differential inequalities and existence theory for differential, integral, and delay equations. Zbl 0809.34006
Burton, T. A.
1994
Lyapunov theory for functional differential equations. Zbl 0806.34067
Burton, T. A.; Hering, R. H.
1994
Periodic solutions of a forced Liénard equation. Zbl 0812.34036
Burton, T. A.
1994
Periodic solutions of Volterra equations and attractivity. Zbl 0811.45001
Burton, T. A.; Furumochi, Tetsuo
1994
A stability theory for integral equations. Zbl 0833.45009
Burton, T. A.; Furumochi, Tetsuo
1994
Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation. Zbl 0803.34064
Burton, T. A.; Zhang, Bo
1993
Asymptotic stability of second order ordinary, functional, and partial differential equations. Zbl 0779.34042
Burton, T. A.; Hatvani, L.
1993
Boundedness and periodicity in integral and integro-differential equations. Zbl 0871.45003
Burton, T. A.
1993
Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012
Burton, T. A.; Eloe, P. W.; Islam, M. N.
1992
A priori bounds and stability in the retarded nonlinear wave equation. Zbl 0755.35007
Burton, T. A.; Zhang, Bo
1992
A wave equation viewed as an ordinary differential equation. Zbl 0799.35155
Burton, T. A.; Terjéki, Jozsef; Zhang, Bo
1992
Periodic solutions of abstract differential equations with infinite delay. Zbl 0760.34060
Burton, T. A.; Zhang, Bo
1991
Permanence for non-autonomous predator-prey systems. Zbl 0733.34053
Burton, T. A.; Hutson, V.
1991
Neural networks with memory. Zbl 0746.34043
Burton, T. A.
1991
On the existence of periodic solutions of some nonlinear functional differential equations with unbounded delay. Zbl 0736.34059
Burton, T. A.; Hatvani, L.
1991
Continuity in functional differential equations with infinite delay. Zbl 0743.34068
Burton, T. A.; Feng, Youhe
1991
The nonlinear wave equation as a Liénard equation. Zbl 0764.35065
Burton, T. A.
1991
On nonuniform asymptotic stability for nonautonomous functional differential equations. Zbl 0736.34068
Burton, T. A.; Hatvani, L.
1990
Uniform ultimate boundedness and periodicity in functional differential equations. Zbl 0678.34073
Burton, Theodore Allen; Zhang, Bo
1990
Periodic solutions of linear integro-differential equations. Zbl 0725.45006
Burton, T. A.; Eloe, P. W.; Islam, M. N.
1990
Uniform boundedness for delay equations. Zbl 0728.34078
Burton, T. A.
1990
Lyapunov functionals and periodic solutions. Zbl 0711.34052
Burton, T. A.
1990
Stability theorems for nonautonomous functional differential equations by Lyapunov functionals. Zbl 0677.34060
Burton, Theodore; Hatvani, László
1989
Repellers in systems with infinite delay. Zbl 0677.92016
Burton, T.; Hutson, V.
1989
Upper and lower bounds for Liapunov functionals. Zbl 0687.34067
Burton, T. A.; Casal, A.; Somolinos, A.
1989
Functional differential equations and Jensen’s inequality. Zbl 0669.34076
Becker, Leigh C.; Burton, T. A.; Zhang, Shunian
1989
Periodic solutions of functional differential equations with infinite delay. Zbl 0691.45010
Burton, T. A.; Dwiggins, D. P.; Feng, Youhe
1989
Boundedness in infinite delay systems. Zbl 0683.34036
Burton, T. A.; Hering, R. H.
1989
...and 59 more Documents
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### Cited by 1,510 Authors

 76 Burton, Theodore Allen 45 Ardjouni, Abdelouaheb 40 Tunç, Cemil 38 Djoudi, Ahcene 21 Agarwal, Ravi P. 20 de la Sen, Manuel 17 Huang, Lihong 17 Liu, Bingwen 17 Raffoul, Youssef Naim 17 Sugie, Jitsuro 16 Berezansky, Leonid M. 16 Graef, John R. 15 Benchohra, Mouffak 14 Teng, Zhi-dong 14 Zhang, Bo 13 Banaś, Józef 13 Domoshnitsky, Alexander I. 13 Haddock, John R. 13 Remili, Moussadek 13 Shah, Kamal 12 Balachandran, Krishnan 12 Mesmouli, Mouataz Billah 11 Abdeljawad, Thabet 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 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 Gil’, Michael Iosif 6 Grimmer, Ronald 6 Jeribi, Aref 6 Messina, Eleonora 6 Nieto Roig, Juan Jose 6 Ogundiran, Michael Oluniyi 6 Oudjedi, Lynda Damerdji 6 Panchal, Satish Kushaba 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 Diblík, Josef 5 Erbe, Lynn Harry 5 Ezzinbi, Khalil 5 Hamaya, Yoshihiro 5 Henríquez, Hernán R. 5 Jiang, Daqing 5 Latrach, Khalid 5 Liang, Jin 5 Liu, James Hetao 5 Liu, Xinzhi 5 Makay, Géza 5 Maleknejad, Khosrow 5 Pierri, Michelle 5 Rus, Ioan A. 5 Shen, Jianhua 5 Stamov, Gani Trendafilov 5 Steur, Erik 5 Wang, Lian 5 Wang, Zaihong 5 Włodarczyk, Kazimierz 5 Xu, Daoyi ...and 1,410 more Authors
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### Cited in 283 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. Real World Applications 25 Abstract and Applied Analysis 23 Computers & Mathematics with Applications 23 Annali di Matematica Pura ed Applicata. Serie Quarta 23 Journal of Integral Equations and Applications 21 Tôhoku Mathematical Journal. Second Series 20 Mathematical and Computer Modelling 18 Fixed Point Theory and Applications 17 Proceedings of the American Mathematical Society 16 Applicable Analysis 14 Journal of the Franklin Institute 14 Acta Mathematicae Applicatae Sinica. English Series 14 Journal of Difference Equations and Applications 13 Discrete and Continuous Dynamical Systems. Series B 13 Journal of Fixed Point Theory and Applications 12 Rocky Mountain Journal of Mathematics 11 Chaos, Solitons and Fractals 11 Communications in Nonlinear Science and Numerical Simulation 11 Afrika Matematika 10 Proyecciones 10 AIMS Mathematics 9 International Journal of Control 9 Mathematical Methods in the Applied Sciences 9 Differential Equations and Dynamical Systems 9 Mediterranean Journal of Mathematics 8 Physics Letters. A 8 Mathematische Nachrichten 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Automatica 7 Monatshefte für Mathematik 7 Proceedings of the Japan Academy. Series A 7 Results in Mathematics 7 Transactions of the American Mathematical Society 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Acta Mathematica Sinica. New Series 7 Nonlinear Dynamics 7 Fractional Calculus & Applied Analysis 7 Journal of Applied Mathematics and Computing 7 Cubo 7 Nonlinear Analysis. Hybrid Systems 7 International Journal of Differential Equations 6 Bulletin of the Australian Mathematical Society 6 International Journal of Systems Science 6 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 6 Applied Mathematics and Mechanics. (English Edition) 6 Stochastic Analysis and Applications 6 Acta Mathematica Hungarica 6 Physica D 6 Journal of Inequalities and Applications 6 Differential Equations 6 Differentsial’nye Uravneniya i Protsessy Upravleniya 6 Journal of Applied Mathematics 6 Boundary Value Problems 6 Journal of Function Spaces 5 Mathematica Slovaca 5 Numerical Functional Analysis and Optimization 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Applied Numerical Mathematics 5 Applied Mathematical Modelling 5 Journal of Dynamics and Differential Equations 5 Journal of the Egyptian Mathematical Society 5 Mathematical Problems in Engineering 5 Discrete Dynamics in Nature and Society 5 Lobachevskii Journal of Mathematics 5 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 5 Differential Equations and Applications 5 Advances in Mathematical Physics 5 Journal of Applied Analysis and Computation 4 Journal of Applied Mathematics and Mechanics 4 Mathematical Biosciences 4 Ukrainian Mathematical Journal 4 Acta Applicandae Mathematicae 4 Neural Networks 4 Automation and Remote Control 4 Electronic Journal of Differential Equations (EJDE) 4 Turkish Journal of Mathematics 4 Filomat 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems 4 Qualitative Theory of Dynamical Systems 4 Fixed Point Theory 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Asian Journal of Control 4 Nonautonomous Dynamical Systems 3 Journal of Mathematical Physics 3 Periodica Mathematica Hungarica 3 Acta Mathematica Vietnamica 3 Czechoslovak Mathematical Journal 3 Systems & Control Letters 3 Zeitschrift für Analysis und ihre Anwendungen 3 Statistics & Probability Letters 3 Aequationes Mathematicae ...and 183 more Serials
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### Cited in 37 Fields

 924 Ordinary differential equations (34-XX) 351 Operator theory (47-XX) 350 Integral equations (45-XX) 126 Biology and other natural sciences (92-XX) 119 Systems theory; control (93-XX) 108 Partial differential equations (35-XX) 81 Numerical analysis (65-XX) 74 Real functions (26-XX) 73 Dynamical systems and ergodic theory (37-XX) 68 Probability theory and stochastic processes (60-XX) 59 Difference and functional equations (39-XX) 27 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 Mechanics of deformable solids (74-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-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 Global analysis, analysis on manifolds (58-XX) 6 Information and communication theory, circuits (94-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 2 General and overarching topics; collections (00-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 Special functions (33-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)