P. J. Bushell

636 total citations
21 papers, 393 citations indexed

About

P. J. Bushell is a scholar working on Applied Mathematics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, P. J. Bushell has authored 21 papers receiving a total of 393 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Applied Mathematics, 5 papers in Numerical Analysis and 5 papers in Computational Theory and Mathematics. Recurrent topics in P. J. Bushell's work include Matrix Theory and Algorithms (5 papers), Fractional Differential Equations Solutions (4 papers) and Nonlinear Differential Equations Analysis (4 papers). P. J. Bushell is often cited by papers focused on Matrix Theory and Algorithms (5 papers), Fractional Differential Equations Solutions (4 papers) and Nonlinear Differential Equations Analysis (4 papers). P. J. Bushell collaborates with scholars based in United Kingdom and Poland. P. J. Bushell's co-authors include W. Okrasiński, D. E. Edmunds, Anthea Craven and Anthony Carbery and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Journal of Mathematical Physics and Bulletin of the London Mathematical Society.

In The Last Decade

P. J. Bushell

19 papers receiving 339 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
P. J. Bushell United Kingdom	11	221	90	90	89	84	21	393
E.K. Ifantis Greece	11	287 1.3×	93 1.0×	67 0.7×	48 0.5×	74 0.9×	46	427
Bogdan Choczewski Poland	5	270 1.2×	83 0.9×	73 0.8×	22 0.2×	148 1.8×	9	465
Balmohan V. Limaye India	9	99 0.4×	104 1.2×	130 1.4×	63 0.7×	40 0.5×	45	396
Jan Kisyński Poland	10	205 0.9×	82 0.9×	120 1.3×	32 0.4×	36 0.4×	21	366
Martin E. Muldoon Canada	15	646 2.9×	151 1.7×	138 1.5×	69 0.8×	142 1.7×	64	751
A A Gončar	13	457 2.1×	214 2.4×	117 1.3×	78 0.9×	127 1.5×	15	575
R. Orive Spain	11	252 1.1×	97 1.1×	53 0.6×	119 1.3×	25 0.3×	39	347
Daniel C. Biles United States	9	241 1.1×	130 1.4×	48 0.5×	98 1.1×	60 0.7×	23	352
Ralph Henstock United Kingdom	10	246 1.1×	36 0.4×	63 0.7×	22 0.2×	76 0.9×	26	477
Elemér E Rosinger South Africa	11	120 0.5×	40 0.4×	99 1.1×	16 0.2×	85 1.0×	41	374

Countries citing papers authored by P. J. Bushell

Since Specialization

Citations

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

Fields of papers citing papers by P. J. Bushell

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. J. Bushell. 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 P. J. Bushell. The network helps show where P. J. Bushell may publish in the future.

Co-authorship network of co-authors of P. J. Bushell

This figure shows the co-authorship network connecting the top 25 collaborators of P. J. Bushell. A scholar is included among the top collaborators of P. J. Bushell 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 P. J. Bushell. P. J. Bushell is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Bushell, P. J. & D. E. Edmunds. (2012). Remarks on generalized trigonometric functions. Rocky Mountain Journal of Mathematics. 42(1). 30 indexed citations

Bushell, P. J. & Anthony Carbery. (2001). Reversed Jensen type integral inequalities for monotone functions. Mathematical Inequalities & Applications. 189–194.

Bushell, P. J. & W. Okrasiński. (1996). On the Maximal Interval of Existence for Solutions to Some Non-Linear Volterra Integral Equations with Convolution Kernel. Bulletin of the London Mathematical Society. 28(1). 59–65. 18 indexed citations

Bushell, P. J.. (1994). Shapiro's Cyclic Sum. Bulletin of the London Mathematical Society. 26(6). 564–574. 1 indexed citations

Bushell, P. J. & W. Okrasiński. (1992). Nonlinear Volterra Integral Equations and the Apéry Identities. Bulletin of the London Mathematical Society. 24(5). 478–484. 13 indexed citations

Bushell, P. J., et al.. (1990). Trace inequalities for positive definite matrix power products. Linear Algebra and its Applications. 132. 173–178. 10 indexed citations

Bushell, P. J. & W. Okrasiński. (1990). Nonlinear Volterra Integral Equations with Convolution Kernel. Journal of the London Mathematical Society. s2-41(3). 503–510. 29 indexed citations

Bushell, P. J. & W. Okrasiński. (1989). Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel. Mathematical Proceedings of the Cambridge Philosophical Society. 106(3). 547–552. 26 indexed citations

Bushell, P. J.. (1987). On a generalization of Barton's integral and related integrals of complete elliptic integrals. Mathematical Proceedings of the Cambridge Philosophical Society. 101(1). 1–5. 14 indexed citations

10.

Bushell, P. J.. (1986). The Cayley-Hilbert metric and positive operators. Linear Algebra and its Applications. 84. 271–280. 18 indexed citations

11.

Bushell, P. J.. (1985). UNIFORM CONVEXITY, HYPERBOLIC GEOMETRY, AND NONEXPANSIVE MAPPINGS (Pure and Applied Mathematics: A Series of Monographs & Textbooks, 83) By K. Goebel and S. Reich: pp. 192. SFr.96.-. (Marcel Dekker Inc, U.S.A., 1984). Bulletin of the London Mathematical Society. 17(3). 293–294. 5 indexed citations

12.

Bushell, P. J.. (1976). On a class of Volterra and Fredholm non-linear integral equations. Mathematical Proceedings of the Cambridge Philosophical Society. 79(2). 329–335. 35 indexed citations

13.

Bushell, P. J. & Anthea Craven. (1976). 26.—On Shapiro's Cyclic Inequality. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 75(4). 333–338. 3 indexed citations

14.

Bushell, P. J.. (1974). On solutions of the matrix equation T'AT = A2. Linear Algebra and its Applications. 8(5). 465–469. 11 indexed citations

15.

Bushell, P. J.. (1973). Hilbert's metric and positive contraction mappings in a Banach space. Archive for Rational Mechanics and Analysis. 52(4). 330–338. 135 indexed citations

16.

Bushell, P. J.. (1973). On the Projective Contraction Ratio for Positive Linear Mappings. Journal of the London Mathematical Society. s2-6(2). 256–258. 28 indexed citations

17.

Bushell, P. J.. (1972). On the Convergence of the Born Series for All Energies. Journal of Mathematical Physics. 13(10). 1540–1542. 2 indexed citations

18.

Bushell, P. J.. (1972). On Systems of Linear Ordinary Differential Equations and the Uniqueness of Monotone Solutions. Journal of the London Mathematical Society. s2-5(2). 235–239. 2 indexed citations

19.

Bushell, P. J.. (1972). On Von Kármán's Equations of Swirling Flow. Journal of the London Mathematical Society. s2-4(4). 701–710. 10 indexed citations

20.

Bushell, P. J.. (1963). ON THE DEPENDENCE OF AN EIGENVALUE ON A PARAMETER. The Quarterly Journal of Mathematics. 14(1). 106–112. 3 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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