Don Hinton

2.4k total citations
99 papers, 1.5k citations indexed

About

Don Hinton is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Don Hinton has authored 99 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Mathematical Physics, 51 papers in Computational Theory and Mathematics and 43 papers in Applied Mathematics. Recurrent topics in Don Hinton's work include Spectral Theory in Mathematical Physics (53 papers), Advanced Mathematical Modeling in Engineering (33 papers) and Differential Equations and Boundary Problems (24 papers). Don Hinton is often cited by papers focused on Spectral Theory in Mathematical Physics (53 papers), Advanced Mathematical Modeling in Engineering (33 papers) and Differential Equations and Boundary Problems (24 papers). Don Hinton collaborates with scholars based in United States, Germany and United Kingdom. Don Hinton's co-authors include J. K. Shaw, Roger T. Lewis, Richard C. Brown, Horst Behncke, R. M. Brown, Martin Klaus, Stephen Clark, Calvin D. Ahlbrandt, W. N. Everitt and J. S. W. Wong and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, SIAM Review and Transactions of the American Mathematical Society.

In The Last Decade

Don Hinton

93 papers receiving 1.3k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Don Hinton United States 22 1.1k 771 744 333 294 99 1.5k
Didier Smets France 19 502 0.5× 765 1.0× 463 0.6× 123 0.4× 318 1.1× 50 1.2k
Shusen Yan Australia 30 1.3k 1.2× 2.2k 2.9× 1.6k 2.1× 281 0.8× 168 0.6× 120 2.5k
Yanheng Ding China 29 1.3k 1.2× 1.9k 2.4× 1.1k 1.5× 300 0.9× 294 1.0× 81 2.1k
Charles T. Fulton United States 12 730 0.7× 400 0.5× 464 0.6× 116 0.3× 184 0.6× 32 932
Vittorio Coti Zelati Italy 17 393 0.4× 1000 1.3× 409 0.5× 280 0.8× 321 1.1× 44 1.4k
Angelo B. Mingarelli Canada 14 305 0.3× 318 0.4× 306 0.4× 260 0.8× 103 0.4× 58 701
Junxiang Xu China 17 555 0.5× 610 0.8× 446 0.6× 199 0.6× 675 2.3× 130 1.3k
Jiong Sun China 16 614 0.6× 321 0.4× 383 0.5× 139 0.4× 488 1.7× 59 1.0k
Vjacheslav Yurko Russia 27 2.5k 2.3× 1.2k 1.6× 1.1k 1.5× 88 0.3× 293 1.0× 155 2.6k
Kazunaga Tanaka Japan 25 1.3k 1.2× 2.1k 2.7× 1.1k 1.5× 362 1.1× 276 0.9× 75 2.4k

Countries citing papers authored by Don Hinton

Since Specialization
Citations

This map shows the geographic impact of Don Hinton'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 Don Hinton with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Don Hinton more than expected).

Fields of papers citing papers by Don Hinton

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Don Hinton. 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 Don Hinton. The network helps show where Don Hinton may publish in the future.

Co-authorship network of co-authors of Don Hinton

This figure shows the co-authorship network connecting the top 25 collaborators of Don Hinton. A scholar is included among the top collaborators of Don Hinton 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 Don Hinton. Don Hinton 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.
Behncke, Horst & Don Hinton. (2013). Spectral theory of higher order differential operators by examples. Journal of Spectral Theory. 3(3). 361–398. 1 indexed citations
2.
Behncke, Horst & Don Hinton. (2010). Spectral theory of Hamiltonian systems with almost constant coefficients. Journal of Differential Equations. 250(3). 1408–1426. 10 indexed citations
3.
Behncke, Horst & Don Hinton. (2006). Transformation theory of symmetric differential expressions. Advances in Differential Equations. 11(6). 5 indexed citations
4.
Brown, Richard C. & Don Hinton. (2004). Relative form boundedness and compactness for a second-order differential operator. Journal of Computational and Applied Mathematics. 171(1-2). 123–140. 5 indexed citations
5.
Clark, Stephen & Don Hinton. (2002). Positive eigenvalues of second order boundary value problems and a theorem of M. G. Krein. Proceedings of the American Mathematical Society. 130(10). 3005–3015. 6 indexed citations
6.
Behncke, Horst, Don Hinton, & Christian Remling. (2001). The Spectrum of Differential Operators of Order 2n with Almost Constant Coefficients. Journal of Differential Equations. 175(1). 130–162. 24 indexed citations
7.
Hinton, Don, et al.. (1997). On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems II. Mathematische Nachrichten. 185(1). 67–84. 16 indexed citations
8.
Brown, R. M. & Don Hinton. (1993). Interpolation Inequalities with Power Weights for Functions of One Variable. Journal of Mathematical Analysis and Applications. 172(1). 233–242. 4 indexed citations
9.
Brown, Richard C. & Don Hinton. (1986). Sufficient conditions for weighted Gabushin inequalities. Časopis pro pěstování matematiky. 111(2). 113–122. 2 indexed citations
10.
Hinton, Don, et al.. (1986). On the number of eigenvalues in the spectral gap of a Dirac system. Proceedings of the Edinburgh Mathematical Society. 29(3). 367–378. 11 indexed citations
11.
Brown, Richard C. & Don Hinton. (1985). Sufficient conditions for weighted inequalities of sum form. Journal of Mathematical Analysis and Applications. 112(2). 563–578. 14 indexed citations
12.
Hinton, Don & J. K. Shaw. (1983). Hamiltonian systems of limit point or limit circle type with both endpoints singular. Journal of Differential Equations. 50(3). 444–464. 65 indexed citations
13.
Ahlbrandt, Calvin D., Don Hinton, & Roger T. Lewis. (1981). The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory. Journal of Mathematical Analysis and Applications. 81(1). 234–277. 41 indexed citations
14.
Hinton, Don & J. K. Shaw. (1981). On Titchmarsh-Weyl M(λ)-functions for linear Hamiltonian systems. Journal of Differential Equations. 40(3). 316–342. 98 indexed citations
15.
Bradley, John S., et al.. (1981). On the minimization of singular quadratic functional. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 87(3-4). 193–208. 4 indexed citations
16.
Hinton, Don & Roger T. Lewis. (1978). Spectral analysis of second order difference equations. Journal of Mathematical Analysis and Applications. 63(2). 421–438. 98 indexed citations
17.
Hinton, Don & Roger T. Lewis. (1975). Discrete spectra criteria for singular differential operators with middle terms. Mathematical Proceedings of the Cambridge Philosophical Society. 77(2). 337–347. 37 indexed citations
18.
Hinton, Don. (1968). Asymptotic behavior of solutions of (ry(m))(k) ± qy = 0. Journal of Differential Equations. 4(4). 590–596. 17 indexed citations
19.
Hinton, Don. (1966). Disconjugate properties of a system of differential equations. Journal of Differential Equations. 2(4). 420–437. 24 indexed citations
20.
Hinton, Don. (1966). A Stieltjes–Volterra Integral Equation Theory. Canadian Journal of Mathematics. 18. 314–331. 25 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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