Daniel C. Biles

483 total citations
23 papers, 352 citations indexed

About

Daniel C. Biles is a scholar working on Applied Mathematics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Daniel C. Biles has authored 23 papers receiving a total of 352 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Applied Mathematics, 15 papers in Numerical Analysis and 5 papers in Computational Theory and Mathematics. Recurrent topics in Daniel C. Biles's work include Nonlinear Differential Equations Analysis (13 papers), Numerical methods for differential equations (11 papers) and Differential Equations and Numerical Methods (10 papers). Daniel C. Biles is often cited by papers focused on Nonlinear Differential Equations Analysis (13 papers), Numerical methods for differential equations (11 papers) and Differential Equations and Numerical Methods (10 papers). Daniel C. Biles collaborates with scholars based in United States, Spain and Canada. Daniel C. Biles's co-authors include Ferhan M. Atıcı, Paul Binding, Rodrigo López Pouso, José Ángel Cid and M. Federson and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Computers & Mathematics with Applications.

In The Last Decade

Daniel C. Biles

20 papers receiving 322 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Daniel C. Biles United States 9 241 130 99 98 60 23 352
Murat Adıvar Türkiye 11 279 1.2× 105 0.8× 85 0.9× 91 0.9× 68 1.1× 36 379
Lanying Hu China 11 322 1.3× 100 0.8× 232 2.3× 202 2.1× 32 0.5× 25 500
Paul H. Bezandry United States 9 235 1.0× 49 0.4× 190 1.9× 44 0.4× 40 0.7× 18 319
Stephen R. Bernfeld United States 10 153 0.6× 108 0.8× 63 0.6× 34 0.3× 82 1.4× 41 312
Jaqueline G. Mesquita Brazil 12 374 1.6× 138 1.1× 231 2.3× 140 1.4× 75 1.3× 43 444
Sławomir Plaskacz Poland 10 135 0.6× 40 0.3× 103 1.0× 45 0.5× 39 0.7× 17 292
Jianli Li China 9 271 1.1× 178 1.4× 99 1.0× 73 0.7× 26 0.4× 33 328
Sladjana D. Marinković Serbia 8 340 1.4× 142 1.1× 22 0.2× 296 3.0× 44 0.7× 18 428
Chenxiaoyu Zhang China 2 373 1.5× 189 1.5× 230 2.3× 67 0.7× 43 0.7× 4 476
Farzad Sabzikar United States 8 191 0.8× 160 1.2× 51 0.5× 357 3.6× 16 0.3× 15 518

Countries citing papers authored by Daniel C. Biles

Since Specialization
Citations

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

Fields of papers citing papers by Daniel C. Biles

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Daniel C. Biles. 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 Daniel C. Biles. The network helps show where Daniel C. Biles may publish in the future.

Co-authorship network of co-authors of Daniel C. Biles

This figure shows the co-authorship network connecting the top 25 collaborators of Daniel C. Biles. A scholar is included among the top collaborators of Daniel C. Biles 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 Daniel C. Biles. Daniel C. Biles 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.
Biles, Daniel C.. (2017). Nonexistence of solutions for second-order initial value problems. Differential Equations & Applications. 141–146.
2.
Biles, Daniel C., M. Federson, & Rodrigo López Pouso. (2014). A Survey of Recent Results for the Generalizations of Ordinary Differential Equations. Abstract and Applied Analysis. 2014. 1–9. 4 indexed citations
3.
Biles, Daniel C., et al.. (2014). Uniqueness of solutions for second order differential equations. Monatshefte für Mathematik. 178(2). 165–169. 1 indexed citations
4.
Biles, Daniel C., et al.. (2012). Existence of positive solutions for a fourth order differential inclusion. Differential Equations & Applications. 539–546. 2 indexed citations
5.
Atıcı, Ferhan M., et al.. (2011). A utility maximisation problem on multiple time scales. International Journal of Dynamical Systems and Differential Equations. 3(1/2). 38–38. 6 indexed citations
6.
Biles, Daniel C. & Rodrigo López Pouso. (2009). First-Order Singular and Discontinuous Differential Equations. Boundary Value Problems. 2009. 1–25. 8 indexed citations
7.
Biles, Daniel C., et al.. (2008). Nyström methods and singular second-order differential equations. Computers & Mathematics with Applications. 56(8). 1975–1980. 1 indexed citations
8.
Biles, Daniel C., et al.. (2008). Numerical approximation for singular second order differential equations. Mathematical and Computer Modelling. 49(5-6). 1109–1114. 10 indexed citations
9.
Biles, Daniel C., José Ángel Cid, & Rodrigo López Pouso. (2007). Initial value problems for singular and nonsmooth second order differential inclusions. Mathematische Nachrichten. 280(12). 1335–1343. 2 indexed citations
10.
Biles, Daniel C., et al.. (2005). Fixed point approaches to the solution of integral inclusions. Topological Methods in Nonlinear Analysis. 25(2). 297–297. 3 indexed citations
11.
Atıcı, Ferhan M. & Daniel C. Biles. (2004). First order dynamic inclusions on time scales. Journal of Mathematical Analysis and Applications. 292(1). 222–237. 30 indexed citations
12.
Biles, Daniel C., et al.. (2002). A generalization of the Lane–Emden equation. Journal of Mathematical Analysis and Applications. 273(2). 654–666. 25 indexed citations
13.
Biles, Daniel C., et al.. (2000). Solvability of a finite or infinite system of discontinuous quasimonotone differential equations. Proceedings of the American Mathematical Society. 128(11). 3349–3360. 8 indexed citations
14.
Biles, Daniel C.. (1997). A Technique for Proving Existence of Solutions. Journal of Mathematical Analysis and Applications. 206(2). 589–605. 1 indexed citations
15.
Biles, Daniel C. & Paul Binding. (1997). On Carathéodory’s conditions for the initial value problem. Proceedings of the American Mathematical Society. 125(5). 1371–1376. 16 indexed citations
16.
Biles, Daniel C.. (1995). Existence of solutions for discontinuous differential equations. Differential and Integral Equations. 8(6). 16 indexed citations
17.
Biles, Daniel C., et al.. (1994). Filippov's operation and some attributes. Czechoslovak Mathematical Journal. 44(3). 513–520.
18.
Biles, Daniel C.. (1993). Continuous Dependence of Nonmonotonic Discontinuous Differential Equations. Transactions of the American Mathematical Society. 339(2). 507–507. 6 indexed citations
19.
Biles, Daniel C.. (1993). Continuous dependence of nonmonotonic discontinuous differential equations. Transactions of the American Mathematical Society. 339(2). 507–524. 10 indexed citations
20.
Biles, Daniel C., et al.. (1992). A study of almost-everywhere singleton-valued Filippovs. Proceedings of the American Mathematical Society. 114(2). 469–473.

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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Murat Adıvar Breakdown of academic impact, for papers by Lanying Hu Breakdown of academic impact, for papers by Paul H. Bezandry Breakdown of academic impact, for papers by Stephen R. Bernfeld Breakdown of academic impact, for papers by Jaqueline G. Mesquita Breakdown of academic impact, for papers by Sławomir Plaskacz Breakdown of academic impact, for papers by Jianli Li Breakdown of academic impact, for papers by Sladjana D. Marinković Breakdown of academic impact, for papers by Chenxiaoyu Zhang Breakdown of academic impact, for papers by Farzad Sabzikar
Rankless by CCL
2026