Bryan P. Rynne

2.1k total citations
93 papers, 1.4k citations indexed

About

Bryan P. Rynne is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Bryan P. Rynne has authored 93 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Mathematical Physics, 49 papers in Applied Mathematics and 33 papers in Computational Theory and Mathematics. Recurrent topics in Bryan P. Rynne's work include Nonlinear Differential Equations Analysis (35 papers), Spectral Theory in Mathematical Physics (33 papers) and Advanced Mathematical Modeling in Engineering (25 papers). Bryan P. Rynne is often cited by papers focused on Nonlinear Differential Equations Analysis (35 papers), Spectral Theory in Mathematical Physics (33 papers) and Advanced Mathematical Modeling in Engineering (25 papers). Bryan P. Rynne collaborates with scholars based in United Kingdom, Canada and Austria. Bryan P. Rynne's co-authors include Fordyce A. Davidson, P.D. Smith, B. D. Sleeman, Paul Binding, M. M. Dodson, James Vickers, Martin Alexander Youngson, Sadasiva M. Rao, Penny J. Davies and Carsten Carstensen and has published in prestigious journals such as SHILAP Revista de lepidopterología, IEEE Transactions on Antennas and Propagation and Journal of Mathematical Analysis and Applications.

In The Last Decade

Bryan P. Rynne

90 papers receiving 1.2k citations

Peers

Bryan P. Rynne

EEE

AMPO

CTM

W. Allegretto Canada

Gennadi Vainikko Estonia

Siegfried Prößdorf Germany

Seymour V. Parter United States

Bernd Silbermann Germany

Rolf Leis Germany

Sergio Vessella Italy

Michelle Schatzman France

Chérif Amrouche France

Calvin H. Wilcox United States

W. Allegretto Canada

Bryan P. Rynne

808 ×1.4

462 ×0.8

204 ×0.6

EEE

113 ×0.3

AMPO

774 ×2.4

CTM

Citations per year, relative to Bryan P. Rynne Bryan P. Rynne (= 1×) peers W. Allegretto

Countries citing papers authored by Bryan P. Rynne

Since Specialization

Citations

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

Fields of papers citing papers by Bryan P. Rynne

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bryan P. Rynne

This figure shows the co-authorship network connecting the top 25 collaborators of Bryan P. Rynne. A scholar is included among the top collaborators of Bryan P. Rynne 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 Bryan P. Rynne. Bryan P. Rynne 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

Rynne, Bryan P.. (2017). Simple bifurcation and global curves of solutions of p-Laplacian problems with radial symmetry. Journal of Differential Equations. 263(6). 3611–3626. 2 indexed citations

Genoud, François & Bryan P. Rynne. (2011). Some recent results on the spectrum of multi-point eigenvalue problems for the p-Laplacian. 15(4). 413–434. 2 indexed citations

Rynne, Bryan P.. (2010). A global curve of stable, positive solutions for a p-laplacian problem. Electronic Journal of Differential Equations. 2010(58). 1–12. 6 indexed citations

Rynne, Bryan P.. (2010). Eigenvalue criteria for existence of positive solutions of second-order, multi-point, $p$-Laplacian boundary value problems. Topological Methods in Nonlinear Analysis. 36(2). 311–326. 4 indexed citations

Rynne, Bryan P., et al.. (2008). Spectral properties and nodal solutions for second-order, $m$-point, $p$-Laplacian boundary value problems. Topological Methods in Nonlinear Analysis. 32(1). 21–40. 6 indexed citations

Davidson, Fordyce A. & Bryan P. Rynne. (2007). Self-adjoint boundary-value problems on time-scales. SHILAP Revista de lepidopterología. 10 indexed citations

Davidson, Fordyce A. & Bryan P. Rynne. (2007). Eigenfunction expansions inL2spaces for boundary value problems on time-scales. Journal of Mathematical Analysis and Applications. 335(2). 1038–1051. 29 indexed citations

Rynne, Bryan P.. (2007). L2 spaces and boundary value problems on time-scales. Journal of Mathematical Analysis and Applications. 328(2). 1217–1236. 55 indexed citations

Binding, Paul & Bryan P. Rynne. (2007). The spectrum of the periodic p-Laplacian. Journal of Differential Equations. 235(1). 199–218. 26 indexed citations

10.

Rynne, Bryan P.. (2004). Solution curves of 2m-th order boundary-value problems. Electronic Journal of Differential Equations. 2004. 1–16. 5 indexed citations

11.

Davidson, Fordyce A. & Bryan P. Rynne. (2002). Global Bifurcation on Time Scales. Journal of Mathematical Analysis and Applications. 267(1). 345–360. 19 indexed citations

12.

Rynne, Bryan P.. (2002). Simultaneous Diophantine approximation on manifolds and Hausdorff dimension. Journal of Number Theory. 98(1). 1–9. 3 indexed citations

13.

Rynne, Bryan P.. (2000). The Fucik Spectrum of General Sturm–Liouville Problems. Journal of Differential Equations. 161(1). 87–109. 34 indexed citations

14.

Rynne, Bryan P.. (1999). The well-posedness of the integral equations for thin wire antennas with distributional incidental fields. The Quarterly Journal of Mechanics and Applied Mathematics. 52(4). 489–497. 7 indexed citations

15.

Rynne, Bryan P.. (1999). Oscillating global continua of positive solutions of semilinear elliptic problems. Proceedings of the American Mathematical Society. 128(1). 229–236. 7 indexed citations

16.

Rynne, Bryan P.. (1998). The Hausdorff Dimension of Sets Arising from Diophantine Approximation with a General Error Function. Journal of Number Theory. 71(2). 166–171. 2 indexed citations

17.

Dodson, M. M., Bryan P. Rynne, & James Vickers. (1996). Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds. Journal of Number Theory. 58(2). 298–316. 7 indexed citations

18.

Rynne, Bryan P.. (1995). The Structure of the Zero Sets of Nonlinear Mappings Near Generic Multiparameter Eigenvalues. Journal of Mathematical Analysis and Applications. 194(1). 147–173. 4 indexed citations

19.

Dodson, M. M., Jürgen Pöschel, Bryan P. Rynne, & James Vickers. (1992). The Hausdorff dimension of small divisors for lower-dimensional KAM-tori. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 439(1906). 359–371. 7 indexed citations

20.

Dodson, M. M., Bryan P. Rynne, & James Vickers. (1990). Dirichlet's theorem and diophantine approximation on manifolds. Journal of Number Theory. 36(1). 85–88. 10 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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