T. A. Burton

3.0k total citations
114 papers, 2.2k citations indexed

About

T. A. Burton is a scholar working on Applied Mathematics, Numerical Analysis and Control and Systems Engineering. According to data from OpenAlex, T. A. Burton has authored 114 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 64 papers in Applied Mathematics, 50 papers in Numerical Analysis and 37 papers in Control and Systems Engineering. Recurrent topics in T. A. Burton's work include Nonlinear Differential Equations Analysis (53 papers), Numerical methods for differential equations (36 papers) and Stability and Controllability of Differential Equations (36 papers). T. A. Burton is often cited by papers focused on Nonlinear Differential Equations Analysis (53 papers), Numerical methods for differential equations (36 papers) and Stability and Controllability of Differential Equations (36 papers). T. A. Burton collaborates with scholars based in United States, Greece and Japan. T. A. Burton's co-authors include Colleen P. Kirk, Bo Zhang, Ronald Grimmer, John R. Haddock, Bo Zhang, J. S. W. Wong, V. Hutson, I.K. Purnaras, Ovide Arino and László Hatvani and has published in prestigious journals such as Neural Networks, Journal of Mathematical Analysis and Applications and SIAM Review.

In The Last Decade

T. A. Burton

105 papers receiving 1.8k citations

Peers

T. A. Burton
N. A. Perestyuk Ukraine
А. М. Самойленко Ukraine
Toka Diagana United States
Josef Diblı́k Czechia
Manuel Pinto Chile
Paul W. Eloe United States
A. S. Vatsala United States
Patricia J. Y. Wong Singapore
Sui Sun Cheng Taiwan
S. Sivasundaram United States
N. A. Perestyuk Ukraine
T. A. Burton
Citations per year, relative to T. A. Burton T. A. Burton (= 1×) peers N. A. Perestyuk

Countries citing papers authored by T. A. Burton

Since Specialization
Citations

This map shows the geographic impact of T. A. Burton's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by T. A. Burton with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites T. A. Burton more than expected).

Fields of papers citing papers by T. A. Burton

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by T. A. Burton. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by T. A. Burton. The network helps show where T. A. Burton may publish in the future.

Co-authorship network of co-authors of T. A. Burton

This figure shows the co-authorship network connecting the top 25 collaborators of T. A. Burton. A scholar is included among the top collaborators of T. A. Burton based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with T. A. Burton. T. A. Burton is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Burton, T. A., et al.. (2011). Resolvents of integral equations with continuous kernels. Nonlinear studies. 18(2). 293–305. 3 indexed citations
2.
Burton, T. A. & I.K. Purnaras. (2011). Lp-solutions of singular integro-differential equations. Journal of Mathematical Analysis and Applications. 386(2). 830–841. 8 indexed citations
3.
Burton, T. A. & John R. Haddock. (2010). Parallel theories of integral equations. Nonlinear studies. 17(3). 177–197. 2 indexed citations
4.
Burton, T. A., et al.. (2010). Smoothed integral equations. Journal of Mathematical Analysis and Applications. 377(1). 319–335. 1 indexed citations
5.
Burton, T. A.. (2006). Integral equations, large and small forcing functions: Periodicity. Mathematical and Computer Modelling. 45(11-12). 1363–1375.
6.
Burton, T. A., et al.. (2004). Jensen's Inequality and Liapunov's Direct Method. 6(3). 67–90–67–90. 1 indexed citations
7.
Burton, T. A.. (2002). Liapunov Functionals, Fixed Points, and Stability by Krasnoselskii's Theorem. Nonlinear studies. 9(2). 181–190. 48 indexed citations
8.
Burton, T. A. & Bo Zhang. (1991). Periodic solutions of abstract differential equations with infinite delay. Journal of Differential Equations. 90(2). 357–396. 30 indexed citations
9.
Najam-ul-Islam, Muhammad, T. A. Burton, & Paul W. Eloe. (1990). Periodic Solutions of Linear Integrodifferential Equations. Mathematische Nachrichten. 147(1). 8 indexed citations
10.
Burton, T. A. & V. Hutson. (1989). Repellers in systems with infinite delay. Journal of Mathematical Analysis and Applications. 137(1). 240–263. 29 indexed citations
11.
Burton, T. A., et al.. (1989). Functional differential equations and Jensen's inequality. Journal of Mathematical Analysis and Applications. 138(1). 137–156. 15 indexed citations
12.
Burton, T. A., et al.. (1988). An asymptotic fixed point theorem for a locally convex space. Proceedings of the American Mathematical Society. 103(1). 247–251. 1 indexed citations
13.
Burton, T. A., et al.. (1983). Stability criteria for Volterra equations. Transactions of the American Mathematical Society. 279(1). 143–143. 40 indexed citations
14.
Burton, T. A.. (1982). Construction of Liapunov functionals for Volterra equations. Journal of Mathematical Analysis and Applications. 85(1). 90–105. 23 indexed citations
15.
Burton, T. A.. (1982). Perturbed Volterra equations. Journal of Differential Equations. 43(2). 168–183. 6 indexed citations
16.
Burton, T. A.. (1980). Uniform stabilities for Volterra equations. Journal of Differential Equations. 36(1). 40–53. 14 indexed citations
17.
Burton, T. A.. (1978). Uniform asymptotic stability in functional differential equations. Proceedings of the American Mathematical Society. 68(2). 195–199. 45 indexed citations
18.
Burton, T. A.. (1977). Liapunov functions and boundedness. Journal of Mathematical Analysis and Applications. 58(1). 88–97. 7 indexed citations
19.
Burton, T. A. & Ronald Grimmer. (1971). On continuability of solutions of second order differential equations.. Proceedings of the American Mathematical Society. 29(2). 277–283. 26 indexed citations
20.
Burton, T. A.. (1966). On a theorem of Brauer. Proceedings of the American Mathematical Society. 17(2). 325–326. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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