×

Burton, Theodore Allen

Author ID: burton.theodore-allen Recent zbMATH articles by "Burton, Theodore Allen"
Published as: Burton, T. A.; Burton, Theodore A.; Burton, T.; Burton, Theodore; Burton, Theodore Allen; Burton, Théodore A.
Homepage: https://math.siu.edu/faculty-staff/emeritus/burton.php
External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
Documents Indexed: 230 Publications since 1965, including 6 Books
2 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 28 Co-Authors with 116 Joint Publications
525 Co-Co-Authors
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

Publications by Year

Citations contained in zbMATH Open

166 Publications have been cited 2,905 times in 1,747 Documents Cited by Year
Stability and periodic solutions of ordinary and functional differential equations. Zbl 0635.34001
Burton, T. A.
415
1985
Volterra integral and differential equations. Zbl 0515.45001
Burton, T. A.
212
1983
Volterra integral and differential equations. 2nd ed. Zbl 1075.45001
Burton, T. A.
153
2005
Stability by fixed point theory for functional differential equations. Zbl 1160.34001
Burton, T. A.
144
2006
A fixed-point theorem of Krasnoselskii. Zbl 1127.47318
Burton, T. A.
140
1998
A fixed point theorem of Krasnoselskii-Schaefer type. Zbl 0896.47042
Burton, T. A.; Kirk, Colleen
110
1998
Krasnoselskii’s fixed point theorem and stability. Zbl 1015.34046
Burton, T. A.; Furumochi, Tetsuo
60
2002
Stability by fixed point theory or Liapunov theory: a comparison. Zbl 1061.47065
Burton, T. A.
54
2003
Integral equations, implicit functions, and fixed points. Zbl 0873.45003
Burton, T. A.
52
1996
Fixed points and stability of a nonconvolution equation. Zbl 1050.34110
Burton, T. A.
49
2004
Unified boundedness, periodicity, and stability in ordinary and functional differential equations. Zbl 0626.34038
Burton, T. A.; Zhang, Shunian
45
1986
Stability and periodic solutions of ordinary and functional differential equations. Corrected version of the 1985 original. Zbl 1209.34001
Burton, T. A.
44
2005
Fixed points and problems in stability theory for ordinary and functional differential equations. Zbl 1021.34042
Burton, T. A.; Furumochi, Tetsuo
43
2001
Fixed points and stability of an integral equation: nonuniqueness. Zbl 1066.45002
Burton, T. A.; Zhang, Bo
41
2004
Fixed points, stability, and exact linearization. Zbl 1067.34077
Burton, T. A.
39
2005
Stability theorems for nonautonomous functional differential equations by Lyapunov functionals. Zbl 0677.34060
Burton, Theodore; Hatvani, László
38
1989
On the equation \(x'' +f(x)h(x')x' +g(x) = e(t)\). Zbl 0194.40203
Burton, T. A.
36
1970
On the generalized Lienard equation with forcing function. Zbl 0174.13602
Burton, T. A.; Townsend, C. G.
36
1968
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.
35
1965
Uniform asymptotic stability in functional differential equations. Zbl 0378.34058
Burton, T. A.
35
1978
Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem. Zbl 1084.47522
Burton, T. A.
35
2002
Stability, fixed points and inverses of delays. Zbl 1112.34054
Becker, Leigh C.; Burton, T. A.
34
2006
Asymptotic behavior of solutions of functional differential equations by fixed point theorems. Zbl 1044.34033
Burton, T. A.; Furumochi, Tetsuo
34
2002
Periodic solutions to functional differential equations. Zbl 0582.34077
Arino, O. A.; Burton, T. A.; Haddock, J. R.
33
1985
A note on stability by Schauder’s theorem. Zbl 1158.34329
Burton, T. A.; Furumochi, Tetsuo
32
2001
Periodic solutions of abstract differential equations with infinite delay. Zbl 0760.34060
Burton, T. A.; Zhang, Bo
30
1991
Fractional differential equations and Lyapunov functionals. Zbl 1226.34004
Burton, T. A.
29
2011
Stability criteria for Volterra equations. Zbl 0522.45006
Burton, T. A.; Mahfoud, W. E.
28
1983
Integral equations, Volterra equations, and the remarkable resolvent: contractions. Zbl 1090.45002
Burton, T. A.
23
2006
Repellers in systems with infinite delay. Zbl 0677.92016
Burton, T.; Hutson, V.
23
1989
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.
22
1976
Stability theory for Volterra equations. Zbl 0422.45009
Burton, T. A.
21
1979
Perron-type stability theorems for neutral equations. Zbl 1044.34028
Burton, T. A.
20
2003
On continuability of solutions of second order differential equations. Zbl 0231.34008
Burton, T.; Grimmer, R.
20
1971
Oscillation, continuation, and uniqueness of solutions of retarded differential equations. Zbl 0286.34113
Burton, T.; Grimmer, R.
20
1973
The generalized Lienard equation. Zbl 0135.30201
Burton, T. A.
20
1965
Stability properties of \((r(t)u')'+a(t)f(u)g(u') = 0\). Zbl 0195.09804
Burton, T. A.; Grimmer, R. C.
19
1970
On nonuniform asymptotic stability for nonautonomous functional differential equations. Zbl 0736.34068
Burton, T. A.; Hatvani, L.
18
1990
Fractional equations and generalizations of Schaefer’s and Krasnosel’skii’s fixed point theorems. Zbl 1266.34013
Burton, T. A.; Zhang, Bo
18
2012
Permanence for non-autonomous predator-prey systems. Zbl 0733.34053
Burton, T. A.; Hutson, V.
17
1991
Upper and lower bounds for Liapunov functionals. Zbl 0687.34067
Burton, T. A.; Casal, A.; Somolinos, A.
15
1989
Uniform ultimate boundedness and periodicity in functional differential equations. Zbl 0678.34073
Burton, Theodore Allen; Zhang, Bo
14
1990
Asymptotic stability for functional differential equations. Zbl 0805.34068
Burton, T. A.; Makay, G.
14
1994
Asymptotic stability of second order ordinary, functional, and partial differential equations. Zbl 0779.34042
Burton, T. A.; Hatvani, L.
14
1993
An extension of Liapunov’s direct method. Zbl 0187.34201
Burton, T. A.
14
1969
Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation. Zbl 0803.34064
Burton, T. A.; Zhang, Bo
13
1993
Fixed points, Volterra equations, and Becker’s resolvent. Zbl 1091.34040
Burton, T. A.
13
2005
Functional differential equations and Jensen’s inequality. Zbl 0669.34076
Becker, Leigh C.; Burton, T. A.; Zhang, Shunian
12
1989
A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions. Zbl 1439.45001
Burton, T. A.
12
2019
\(L^p\)-solutions of fractional differential equations. Zbl 1300.34015
Burton, T. A.; Zhang, Bo
12
2012
Fixed points and fractional differential equations: examples. Zbl 1281.34008
Burton, T. A.; Zhang, Bo
12
2013
Construction of Ljapunov functionals for Volterra equations. Zbl 0508.45009
Burton, T. A.
11
1982
Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012
Burton, T. A.; Eloe, P. W.; Islam, M. N.
10
1992
Boundedness in functional differential equations. Zbl 0515.34064
Burton, T. A.
10
1982
Integral equations, \(L^{p}\)-forcing, remarkable resolvent: Lyapunov functionals. Zbl 1129.45002
Burton, T. A.
10
2008
A unification theory of Krasnoselskii for differential equations. Zbl 1317.34001
Burton, T. A.; Purnaras, I. K.
10
2013
Periodic solutions of functional differential equations with infinite delay. Zbl 0691.45010
Burton, T. A.; Dwiggins, D. P.; Feng, Youhe
9
1989
Differential inequalities and existence theory for differential, integral, and delay equations. Zbl 0809.34006
Burton, T. A.
9
1994
On the asymptotic behavior of solutions of \(x''+a(t)f(x)=e(t)\). Zbl 0245.34024
Burton, T.; Grimmer, R.
9
1972
Correction to ”An extension of Liapunov’s direct method”. Zbl 0256.34060
Burton, T. A.
9
1970
Complementary equations: a fractional differential equation and a Volterra integral equation. Zbl 1349.34005
Becker, Leigh; Burton, Theodore; Purnaras, Ioannis
9
2015
Floquet theory for a Volterra equation. Zbl 0645.45006
Becker, L. C.; Burton, T. A.; Krisztin, T.
9
1988
Basic neutral integral equations of advanced type. Zbl 0888.45005
Burton, T. A.
8
1998
Krasnoselskii’s inversion principle and fixed points. Zbl 0894.47041
Burton, T. A.
8
1997
Lyapunov theory for functional differential equations. Zbl 0806.34067
Burton, T. A.; Hering, R. H.
8
1994
On the asymptotic behaviour of solutions of \(x''+\alpha (t)f(x)=0\). Zbl 0235.34075
Burton, T.; Grimmer, R.
8
1971
Limit circle results for second order equations. Zbl 0339.34028
Burton, T. A.; Patula, W. T.
8
1976
Stability theory for delay equations. Zbl 0441.34055
Burton, T. A.
8
1979
Fixed points, stability, and harmless perturbations. Zbl 1121.34077
Burton, T. A.
8
2005
Liapunov theory for integral equations with singular kernels and fractional differential equations. Zbl 1270.45010
Burton, T. A.
8
2012
Liapunov functionals of convolution type. Zbl 0587.34042
Burton, T. A.; Huang, Quichang; Mahfoud, W. E.
8
1985
Periodic solutions of nonlinear Volterra equations. Zbl 0569.45012
Burton, T. A.
8
1984
Integral and fractional equations, positive solutions, and Schaefer’s fixed point theorem. Zbl 1342.34010
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
8
2016
Liapunov functions and boundedness. Zbl 0386.34050
Burton, T. A.
7
1977
Periodic solutions of linear integro-differential equations. Zbl 0725.45006
Burton, T. A.; Eloe, P. W.; Islam, M. N.
7
1990
Uniform stabilities for Volterra equations. Zbl 0454.45004
Burton, T. A.
7
1980
On solutions of differential equations tending to zero. Zbl 0298.34042
Burton, T. A.; Hooker, J. W.
7
1974
Existence and uniqueness results by progressive contractions for integro-differential equations. Zbl 1357.45006
Burton, T. A.
7
2016
Periodic solutions of linear Volterra equations. Zbl 0552.45011
Burton, T. A.
7
1984
Stability by decompositions for Volterra equations. Zbl 0579.45009
Burton, Theodore Allen; Mahfoud, Wadi Elias
7
1985
A continuation result for differential equations. Zbl 0379.34001
Burton, T. A.
6
1978
Uniform boundedness for delay equations. Zbl 0728.34078
Burton, T. A.
6
1990
Fixed points and differential equations with asymptotically constant or periodic solutions. Zbl 1083.34055
Burton, T. A.
6
2004
Perturbed Volterra equations. Zbl 0501.45009
Burton, T. A.
6
1982
An inversion of a fractional differential equation and fixed points. Zbl 1333.34005
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
6
2015
Stability by fixed point methods for highly nonlinear delay equations. Zbl 1079.34057
Burton, T. A.
6
2004
Neural networks with memory. Zbl 0746.34043
Burton, T. A.
6
1991
\(L^p\)-solutions of singular integro-differential equations. Zbl 1231.45018
Burton, T. A.; Purnaras, I. K.
6
2012
Periodicity in delay equations by direct fixed point mapping. Zbl 0992.34053
Burton, T. A.; Zhang, Bo
6
1998
Asymptotically periodic solutions of fractional differential equations. Zbl 1312.34008
Burton, T. A.; Zhang, Bo
6
2013
Periodic and asymptotically periodic solutions of Volterra integral equations. Zbl 0861.45003
Burton, T. A.; Furumochi, Tetsuo
5
1996
Boundedness and periodicity in integral and integro-differential equations. Zbl 0871.45003
Burton, T. A.
5
1993
Global existence of solutions of integral equations with delay: progressive contractions. Zbl 1424.45005
Burton, Theodore; Purnaras, Ioannis
5
2017
Periodic solutions of integrodifferential equations. Zbl 0577.45008
Burton, T. A.
5
1985
Rate of decay of solutions of Volterra equations. Zbl 0579.45008
Burton, T. A.; Huang, Qichang; Mahfoud, W. E.
5
1985
Fractional equations and a theorem of Brouwer-Schauder type. Zbl 1293.34008
Burton, T. A.
5
2013
Qualitative properties of solutions of integral equations. Zbl 1184.45001
Burton, T. A.; Haddock, John R.
4
2009
Continuity, compactness, fixed points, and integral equations. Zbl 1022.45001
Burton, T. A.; Makay, Géza
4
2002
Almost periodic solutions of Volterra equations and attractivity. Zbl 0856.45010
Burton, T. A.; Furumochi, Tetsuo
4
1996
Stability regions of the forced Lienard equation. Zbl 0238.34068
Burton, T. A.; Townsend, C. G.
4
1971
Open mappings: the case for a new direction in fixed point theory. Zbl 1493.45005
Burton, Theodore A.; Purnaras, Ioannis K.
1
2022
Fixed point regions, unified construction of fixed point mappings for integral, quadratic, and fractional equations. Zbl 1463.45007
Burton, T. A.; Purnaras, I. K.
1
2020
A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions. Zbl 1439.45001
Burton, T. A.
12
2019
Necessary and sufficient conditions for large contractions in fixed point theory. Zbl 1463.47156
Burton, Theodore; Purnaras, Ioannis
1
2019
Progressive contractions, measures of non-compactness and quadratic integral equations. Zbl 1432.45003
Burton, T. A.; Purnaras, I. K.
1
2019
Krasnoselskii’s theorem, integral equations, open mappings, and non-uniqueness. Zbl 1479.47043
Burton, T. A.; Purnaras, I. K.
1
2018
Global existence of solutions of integral equations with delay: progressive contractions. Zbl 1424.45005
Burton, Theodore; Purnaras, Ioannis
5
2017
An existence theorem for a fractional differential equation using progressive contractions. Zbl 1499.34035
Burton, T. A.
3
2017
A NASC for equicontinuous maps for integral equations. Zbl 1474.45019
Burton, T. A.; Zhang, Bo
2
2017
Integral and fractional equations, positive solutions, and Schaefer’s fixed point theorem. Zbl 1342.34010
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
8
2016
Existence and uniqueness results by progressive contractions for integro-differential equations. Zbl 1357.45006
Burton, T. A.
7
2016
Existence of solutions of nonlinear fractional differential equations of Riemann-Liouville type. Zbl 1488.34021
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
4
2016
Integral equations, transformations, and a Krasnoselskii-Schaefer type fixed point theorem. Zbl 1399.45002
Burton, Theodore
1
2016
Complementary equations: a fractional differential equation and a Volterra integral equation. Zbl 1349.34005
Becker, Leigh; Burton, Theodore; Purnaras, Ioannis
9
2015
An inversion of a fractional differential equation and fixed points. Zbl 1333.34005
Becker, L. C.; Burton, T. A.; Purnaras, I. K.
6
2015
A Schauder-type fixed point theorem. Zbl 1304.54073
Burton, T. A.; Zhang, Bo
3
2014
Fixed points and fractional differential equations: examples. Zbl 1281.34008
Burton, T. A.; Zhang, Bo
12
2013
A unification theory of Krasnoselskii for differential equations. Zbl 1317.34001
Burton, T. A.; Purnaras, I. K.
10
2013
Asymptotically periodic solutions of fractional differential equations. Zbl 1312.34008
Burton, T. A.; Zhang, Bo
6
2013
Fractional equations and a theorem of Brouwer-Schauder type. Zbl 1293.34008
Burton, T. A.
5
2013
Singular integro-differential equations with small kernels. Zbl 1277.45010
Burton, T. A.; Purnaras, I. K.
1
2013
Fractional equations and generalizations of Schaefer’s and Krasnosel’skii’s fixed point theorems. Zbl 1266.34013
Burton, T. A.; Zhang, Bo
18
2012
\(L^p\)-solutions of fractional differential equations. Zbl 1300.34015
Burton, T. A.; Zhang, Bo
12
2012
Liapunov theory for integral equations with singular kernels and fractional differential equations. Zbl 1270.45010
Burton, T. A.
8
2012
\(L^p\)-solutions of singular integro-differential equations. Zbl 1231.45018
Burton, T. A.; Purnaras, I. K.
6
2012
Singular integral equations, Liapunov functionals, and resolvents. Zbl 1241.45003
Becker, Leigh C.; Burton, T. A.; Purnaras, I. K.
2
2012
Fractional differential equations and Lyapunov functionals. Zbl 1226.34004
Burton, T. A.
29
2011
Resolvents of integral equations with continuous kernels. Zbl 1233.45001
Burton, T. A.; Dwiggins, D. P.
4
2011
Periodic solutions of singular integral equations. Zbl 1298.45002
Burton, T. A.; Zhang, B.
2
2011
A Liapunov functional for a linear integral equation. Zbl 1193.45011
Burton, T. A.
4
2010
A Liapunov functional for a singular integral equation. Zbl 1219.45001
Burton, T. A.
4
2010
Parallel theories of integral equations. Zbl 1213.45001
Burton, T. A.; Haddock, John R.
2
2010
Resolvents, integral equations, limit sets. Zbl 1224.45001
Burton, T. A.; Dwiggins, D. P.
1
2010
Qualitative properties of solutions of integral equations. Zbl 1184.45001
Burton, T. A.; Haddock, John R.
4
2009
Integral equations, \(L^{p}\)-forcing, remarkable resolvent: Lyapunov functionals. Zbl 1129.45002
Burton, T. A.
10
2008
Scalar nonlinear integral equations. Zbl 1164.47054
Burton, Theodore A.
1
2007
Stability by fixed point theory for functional differential equations. Zbl 1160.34001
Burton, T. A.
144
2006
Stability, fixed points and inverses of delays. Zbl 1112.34054
Becker, Leigh C.; Burton, T. A.
34
2006
Integral equations, Volterra equations, and the remarkable resolvent: contractions. Zbl 1090.45002
Burton, T. A.
23
2006
Volterra integral and differential equations. 2nd ed. Zbl 1075.45001
Burton, T. A.
153
2005
Stability and periodic solutions of ordinary and functional differential equations. Corrected version of the 1985 original. Zbl 1209.34001
Burton, T. A.
44
2005
Fixed points, stability, and exact linearization. Zbl 1067.34077
Burton, T. A.
39
2005
Fixed points, Volterra equations, and Becker’s resolvent. Zbl 1091.34040
Burton, T. A.
13
2005
Fixed points, stability, and harmless perturbations. Zbl 1121.34077
Burton, T. A.
8
2005
Asymptotic behavior of nonlinear functional differential equations by Schauder’s theorem. Zbl 1068.34071
Burton, T. A.; Furumochi, Tetsuo
1
2005
Fixed points and stability of a nonconvolution equation. Zbl 1050.34110
Burton, T. A.
49
2004
Fixed points and stability of an integral equation: nonuniqueness. Zbl 1066.45002
Burton, T. A.; Zhang, Bo
41
2004
Fixed points and differential equations with asymptotically constant or periodic solutions. Zbl 1083.34055
Burton, T. A.
6
2004
Stability by fixed point methods for highly nonlinear delay equations. Zbl 1079.34057
Burton, T. A.
6
2004
Stability and fixed points: addition of terms. Zbl 1133.34364
Burton, T. A.
4
2004
Jensen’s inequality and Liapunov’s direct method. Zbl 1092.34036
Becker, Leigh C.; Burton, T. A.
1
2004
Liénard equations, delays, and harmless perturbations. Zbl 1088.34063
Burton, T. A.
1
2004
Stability by fixed point theory or Liapunov theory: a comparison. Zbl 1061.47065
Burton, T. A.
54
2003
Perron-type stability theorems for neutral equations. Zbl 1044.34028
Burton, T. A.
20
2003
Krasnoselskii’s fixed point theorem and stability. Zbl 1015.34046
Burton, T. A.; Furumochi, Tetsuo
60
2002
Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem. Zbl 1084.47522
Burton, T. A.
35
2002
Asymptotic behavior of solutions of functional differential equations by fixed point theorems. Zbl 1044.34033
Burton, T. A.; Furumochi, Tetsuo
34
2002
Continuity, compactness, fixed points, and integral equations. Zbl 1022.45001
Burton, T. A.; Makay, Géza
4
2002
Fixed points, differential equations, and proper mappings. Zbl 1035.47057
Burton, T. A.
2
2002
Fixed points and problems in stability theory for ordinary and functional differential equations. Zbl 1021.34042
Burton, T. A.; Furumochi, Tetsuo
43
2001
A note on stability by Schauder’s theorem. Zbl 1158.34329
Burton, T. A.; Furumochi, Tetsuo
32
2001
Existence theorems and periodic solutions of neutral integral equations. Zbl 0971.45003
Burton, T. A.; Furumochi, Tetsuo
4
2001
Neutral integral equations of retarded type. Zbl 0961.45005
Burton, T. A.; Hering, R. H.
1
2000
Periodic and asymptotically periodic solutions of neutral integral equations. Zbl 0967.45003
Burton, T. A.; Furumochi, Tetsuo
1
2000
Asymptotic stability in differential equations with unbounded delay. Zbl 0948.34048
Burton, T. A.; Somolinos, Alfredo
2
1999
A fixed-point theorem of Krasnoselskii. Zbl 1127.47318
Burton, T. A.
140
1998
A fixed point theorem of Krasnoselskii-Schaefer type. Zbl 0896.47042
Burton, T. A.; Kirk, Colleen
110
1998
Basic neutral integral equations of advanced type. Zbl 0888.45005
Burton, T. A.
8
1998
Periodicity in delay equations by direct fixed point mapping. Zbl 0992.34053
Burton, T. A.; Zhang, Bo
6
1998
Marachkov type stability results for functional differential equations. Zbl 0891.34071
Burton, T. A.; Makay, G.
1
1998
Krasnoselskii’s inversion principle and fixed points. Zbl 0894.47041
Burton, T. A.
8
1997
Integral equations, implicit functions, and fixed points. Zbl 0873.45003
Burton, T. A.
52
1996
Periodic and asymptotically periodic solutions of Volterra integral equations. Zbl 0861.45003
Burton, T. A.; Furumochi, Tetsuo
5
1996
Almost periodic solutions of Volterra equations and attractivity. Zbl 0856.45010
Burton, T. A.; Furumochi, Tetsuo
4
1996
Integral equations with a delay. Zbl 0864.34066
Burton, T. A.
1
1996
Examples of Lyapunov functionals for non-differentiated equations. Zbl 0843.45007
Burton, T. A.
1
1996
Correction to ”Periodic solutions of a forced Liénard equation”. Zbl 0844.34033
Burton, T. A.
1
1995
Asymptotic stability for functional differential equations. Zbl 0805.34068
Burton, T. A.; Makay, G.
14
1994
Differential inequalities and existence theory for differential, integral, and delay equations. Zbl 0809.34006
Burton, T. A.
9
1994
Lyapunov theory for functional differential equations. Zbl 0806.34067
Burton, T. A.; Hering, R. H.
8
1994
Periodic solutions of a forced Liénard equation. Zbl 0812.34036
Burton, T. A.
3
1994
A stability theory for integral equations. Zbl 0833.45009
Burton, T. A.; Furumochi, Tetsuo
1
1994
Periodic solutions of Volterra equations and attractivity. Zbl 0811.45001
Burton, T. A.; Furumochi, Tetsuo
1
1994
Asymptotic stability of second order ordinary, functional, and partial differential equations. Zbl 0779.34042
Burton, T. A.; Hatvani, L.
14
1993
Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation. Zbl 0803.34064
Burton, T. A.; Zhang, Bo
13
1993
Boundedness and periodicity in integral and integro-differential equations. Zbl 0871.45003
Burton, T. A.
5
1993
Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012
Burton, T. A.; Eloe, P. W.; Islam, M. N.
10
1992
A priori bounds and stability in the retarded nonlinear wave equation. Zbl 0755.35007
Burton, T. A.; Zhang, Bo
3
1992
A wave equation viewed as an ordinary differential equation. Zbl 0799.35155
Burton, T. A.; Terjéki, Jozsef; Zhang, Bo
1
1992
Periodic solutions of abstract differential equations with infinite delay. Zbl 0760.34060
Burton, T. A.; Zhang, Bo
30
1991
Permanence for non-autonomous predator-prey systems. Zbl 0733.34053
Burton, T. A.; Hutson, V.
17
1991
Neural networks with memory. Zbl 0746.34043
Burton, T. A.
6
1991
On the existence of periodic solutions of some nonlinear functional differential equations with unbounded delay. Zbl 0736.34059
Burton, T. A.; Hatvani, L.
3
1991
The nonlinear wave equation as a Liénard equation. Zbl 0764.35065
Burton, T. A.
2
1991
Continuity in functional differential equations with infinite delay. Zbl 0743.34068
Burton, T. A.; Feng, Youhe
2
1991
On nonuniform asymptotic stability for nonautonomous functional differential equations. Zbl 0736.34068
Burton, T. A.; Hatvani, L.
18
1990
Uniform ultimate boundedness and periodicity in functional differential equations. Zbl 0678.34073
Burton, Theodore Allen; Zhang, Bo
14
1990
Periodic solutions of linear integro-differential equations. Zbl 0725.45006
Burton, T. A.; Eloe, P. W.; Islam, M. N.
7
1990
Uniform boundedness for delay equations. Zbl 0728.34078
Burton, T. A.
6
1990
Lyapunov functionals and periodic solutions. Zbl 0711.34052
Burton, T. A.
1
1990
...and 66 more Documents
all top 5

Cited by 1,839 Authors

76 Burton, Theodore Allen
52 Ardjouni, Abdelouaheb
49 Tunç, Cemil
40 Djoudi, Ahcene
21 Agarwal, Ravi P.
21 Raffoul, Youssef Naim
21 Shah, Kamal
20 de la Sen, Manuel
19 Berezansky, Leonid M.
19 Graef, John R.
18 Liu, Bingwen
18 Sugie, Jitsuro
18 Zhang, Bo
17 Huang, Lihong
16 Benchohra, Mouffak
15 Abdeljawad, Thabet
15 Domoshnitsky, Alexander I.
14 Ademola, Adeleke Timothy
14 Remili, Moussadek
14 Teng, Zhi-dong
14 Tunç, Osman
13 Abdo, Mohammed Salem
13 Balachandran, Krishnan
13 Banaś, Józef
13 Haddock, John R.
13 Mesmouli, Mouataz Billah
12 Pinto, Manuel
11 Nguyen Thieu Huy
11 O’Regan, Donal
10 Dhage, Bapurao C.
10 Furumochi, Tetsuo
10 Grace, Said Rezk
10 Hara, Tadayuki
10 Hatvani, László
10 Purnaras, Ioannis K.
10 Wang, Ke
10 Wu, Jianhong
9 Adesina, Olufemi Adeyinka
9 Braverman, Elena
9 Jiang, Haijun
9 Li, Yong
9 Luo, Jiaowan
9 Mahfoud, Wadi Elias
9 Nieto Roig, Juan Jose
9 Stamova, Ivanka Milkova
9 Taoudi, Mohamed Aziz
8 Becker, Leigh C.
8 Ben Amar, Afif
8 Cao, Jinde
8 Ezzinbi, Khalil
8 Huang, Qichang
8 Islam, Muhammad Nazmul
8 Pham Huu Anh Ngoc
8 Sergeev, V. S.
8 Vecchio, Antonia
8 Vladimirescu, Cristian
8 Yang, Xue
8 Yoneyama, Toshiaki
7 Adivar, Murat
7 Alzabut, Jehad O.
7 Brunner, Hermann
7 Caraballo Garrido, Tomás
7 Jeribi, Aref
7 Li, Zhixiang
7 Liu, James Hetao
7 Martynyuk, Anatoliĭ Andriĭovych
7 Messina, Eleonora
7 Ogundare, Babatunde Sunday
7 Omeike, Mathew Omonigho
7 Panchal, Satish Kushaba
7 Rus, Ioan A.
7 Spadini, Marco
7 Spikes, Paul W.
7 Yan, Zuomao
7 Zhang, Shunian
6 Abbas, Said
6 Akhmet, Marat Ubaydulla
6 Diblík, Josef
6 Gil’, Michael Iosif
6 Grimmer, Ronald
6 Guerfi, Abderrahim
6 Henríquez, Hernán R.
6 Mahmoud, Ayman Mohammed
6 Ogundiran, Michael Oluniyi
6 Oudjedi, Lynda Damerdji
6 Petruşel, Adrian
6 Steur, Erik
6 Vu Thi Ngoc Ha
6 Wang, Tingxiu
6 Włodarczyk, Kazimierz
6 Xiang, Tian
6 Zanolin, Fabio
5 Almalahi, Mohammed A.
5 Appleby, John A. D.
5 Benhadri, Mimia
5 Biçer, Emel
5 Bohner, Martin J.
5 Boulares, Hamid
5 Chen, Guiling
5 Cuevas, Claudio
...and 1,739 more Authors
all top 5

Cited in 326 Serials

145 Journal of Mathematical Analysis and Applications
95 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
59 Applied Mathematics and Computation
49 Nonlinear Analysis. Theory, Methods & Applications
38 Mathematical Methods in the Applied Sciences
37 Journal of Differential Equations
34 Advances in Difference Equations
31 Journal of Computational and Applied Mathematics
29 Applied Mathematics Letters
28 Nonlinear Analysis. Real World Applications
27 Journal of Integral Equations and Applications
25 Abstract and Applied Analysis
24 Annali di Matematica Pura ed Applicata. Serie Quarta
23 Computers & Mathematics with Applications
23 Mathematical and Computer Modelling
21 Tôhoku Mathematical Journal. Second Series
18 Fixed Point Theory and Applications
17 Proceedings of the American Mathematical Society
16 Applicable Analysis
16 Communications in Nonlinear Science and Numerical Simulation
15 Journal of the Franklin Institute
15 Rocky Mountain Journal of Mathematics
15 Proyecciones
14 Acta Mathematicae Applicatae Sinica. English Series
14 Journal of Difference Equations and Applications
14 Discrete and Continuous Dynamical Systems. Series B
14 Journal of Fixed Point Theory and Applications
13 Chaos, Solitons and Fractals
13 Boundary Value Problems
12 Afrika Matematika
11 Journal of Inequalities and Applications
11 Mediterranean Journal of Mathematics
10 Mathematische Nachrichten
10 Physica D
10 Journal of Applied Analysis and Computation
10 AIMS Mathematics
9 International Journal of Control
9 Physics Letters. A
9 Electronic Journal of Differential Equations (EJDE)
9 Differential Equations and Dynamical Systems
9 Fractional Calculus & Applied Analysis
9 Fixed Point Theory
8 Mathematica Slovaca
8 Journal of the Nigerian Mathematical Society
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Nonlinear Dynamics
8 Differential Equations
8 Cubo
8 International Journal of Differential Equations
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Automatica
7 Monatshefte für Mathematik
7 Proceedings of the Japan Academy. Series A
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 Results in Mathematics
7 Transactions of the American Mathematical Society
7 Acta Mathematica Sinica. New Series
7 Lobachevskii Journal of Mathematics
7 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
7 Journal of Applied Mathematics and Computing
7 Nonlinear Analysis. Hybrid Systems
7 Journal of Function Spaces
6 Bulletin of the Australian Mathematical Society
6 International Journal of Systems Science
6 Journal of Applied Mathematics and Mechanics
6 Ukrainian Mathematical Journal
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 Journal of Dynamics and Differential Equations
6 Computational and Applied Mathematics
6 Turkish Journal of Mathematics
6 Qualitative Theory of Dynamical Systems
6 Differentsial’nye Uravneniya i Protsessy Upravleniya
6 Journal of Applied Mathematics
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Differential Equations and Applications
6 Nonautonomous Dynamical Systems
5 Numerical Functional Analysis and Optimization
5 Applied Numerical Mathematics
5 Applied Mathematical Modelling
5 Automation and Remote Control
5 Journal of the Egyptian Mathematical Society
5 Fractals
5 NoDEA. Nonlinear Differential Equations and Applications
5 Mathematical Problems in Engineering
5 Chaos
5 Discrete Dynamics in Nature and Society
5 Nonlinear Functional Analysis and Applications
5 Advances in Mathematical Physics
5 Asian Journal of Control
4 Journal of Mathematical Physics
4 Mathematical Biosciences
4 Czechoslovak Mathematical Journal
4 Acta Applicandae Mathematicae
4 Numerical Methods for Partial Differential Equations
4 Neural Networks
4 Russian Mathematics
...and 226 more Serials
all top 5

Cited in 39 Fields

1,082 Ordinary differential equations (34-XX)
435 Operator theory (47-XX)
433 Integral equations (45-XX)
151 Biology and other natural sciences (92-XX)
143 Systems theory; control (93-XX)
138 Partial differential equations (35-XX)
105 Numerical analysis (65-XX)
103 Real functions (26-XX)
92 Dynamical systems and ergodic theory (37-XX)
81 Probability theory and stochastic processes (60-XX)
71 Difference and functional equations (39-XX)
31 General topology (54-XX)
17 Computer science (68-XX)
14 Mechanics of particles and systems (70-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Functional analysis (46-XX)
11 Fluid mechanics (76-XX)
10 Mechanics of deformable solids (74-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Abstract harmonic analysis (43-XX)
7 Operations research, mathematical programming (90-XX)
6 Information and communication theory, circuits (94-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Quantum theory (81-XX)
3 Special functions (33-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Statistics (62-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.