Lynn Erbe

6.6k total citations · 1 hit paper
195 papers, 5.0k citations indexed

About

Lynn Erbe is a scholar working on Applied Mathematics, Numerical Analysis and Modeling and Simulation. According to data from OpenAlex, Lynn Erbe has authored 195 papers receiving a total of 5.0k indexed citations (citations by other indexed papers that have themselves been cited), including 163 papers in Applied Mathematics, 125 papers in Numerical Analysis and 46 papers in Modeling and Simulation. Recurrent topics in Lynn Erbe's work include Nonlinear Differential Equations Analysis (142 papers), Differential Equations and Numerical Methods (99 papers) and Numerical methods for differential equations (62 papers). Lynn Erbe is often cited by papers focused on Nonlinear Differential Equations Analysis (142 papers), Differential Equations and Numerical Methods (99 papers) and Numerical methods for differential equations (62 papers). Lynn Erbe collaborates with scholars based in United States, Canada and China. Lynn Erbe's co-authors include Allan Peterson, Haiyan Wang, Baoguo Jia, Samir H. Saker, Qingkai Kong, Taher S. Hassan, Wiesław Krawcewicz, H. I. Freedman, G. J. Butler and Shaozhu Chen and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Lynn Erbe

185 papers receiving 4.1k citations

Hit Papers

On the existence of positive solutions of ordinary differ... 1994 2026 2004 2015 1994 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. On the existence of positive solutions of ordinary differential equations
    1994 395 citations Lynn Erbe, Haiyan Wang Proceedings of the American Mathematical Society profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Lynn Erbe United States 41 4.2k 2.9k 1.1k 1.1k 779 195 5.0k
Weigao Ge China 36 4.2k 1.0× 2.6k 0.9× 1.1k 0.9× 653 0.6× 628 0.8× 278 4.6k
Patricia J. Y. Wong Singapore 26 2.9k 0.7× 1.8k 0.6× 1.1k 1.0× 474 0.4× 316 0.4× 213 3.6k
K. Balachandran India 34 3.4k 0.8× 1.3k 0.5× 2.6k 2.3× 2.1k 1.9× 786 1.0× 339 4.7k
Gaston M. N’Guérékata United States 31 3.8k 0.9× 1.4k 0.5× 1.9k 1.7× 1.9k 1.7× 522 0.7× 176 4.1k
Samir H. Saker Egypt 31 3.3k 0.8× 1.9k 0.7× 1.1k 1.0× 866 0.8× 207 0.3× 236 3.7k
Said R. Grace Egypt 33 4.3k 1.0× 4.2k 1.5× 1.1k 1.0× 834 0.8× 393 0.5× 291 4.8k
István Győri Hungary 22 2.2k 0.5× 1.8k 0.6× 612 0.5× 642 0.6× 346 0.4× 115 3.2k
Alberto Cabada Spain 32 3.0k 0.7× 2.0k 0.7× 1.1k 1.0× 461 0.4× 653 0.8× 198 3.4k
A. C. Lazer United States 35 2.9k 0.7× 1.2k 0.4× 364 0.3× 638 0.6× 1.8k 2.4× 92 4.2k
Ruyun Ma China 31 3.4k 0.8× 2.1k 0.7× 540 0.5× 543 0.5× 715 0.9× 251 3.7k

Countries citing papers authored by Lynn Erbe

Since Specialization
Citations

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

Fields of papers citing papers by Lynn Erbe

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lynn Erbe

This figure shows the co-authorship network connecting the top 25 collaborators of Lynn Erbe. A scholar is included among the top collaborators of Lynn Erbe 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 Lynn Erbe. Lynn Erbe 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.
Peterson, Allan, et al.. (2019). EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS. Dynamic Systems and Applications. 28(1). 2 indexed citations
2.
Du, Feifei, Lynn Erbe, Baoguo Jia, & Allan Peterson. (2018). Two asymptotic results of solutions for nabla fractional (q; h)-difference equations. TURKISH JOURNAL OF MATHEMATICS. 42(5). 2214–2242. 10 indexed citations
3.
Erbe, Lynn, Christopher S. Goodrich, Baoguo Jia, & Allan Peterson. (2017). Monotonicity results for delta fractional differences revisited. Mathematica Slovaca. 67(4). 895–906. 28 indexed citations
4.
Jia, Baoguo, et al.. (2016). Oscillation criteria for second order sublinear dynamic equations with oscillating coefficients. Applied Mathematics Letters. 61. 167–172. 5 indexed citations
5.
Jia, Baoguo, et al.. (2015). THEOREMS OF KIGURADZE-TYPE AND BELOHOREC-TYPE\nREVISITED ON TIME SCALES. Insecta mundi. 3 indexed citations
6.
Jia, Baoguo, Lynn Erbe, & Allan Peterson. (2015). SOME RELATIONS BETWEEN THE CAPUTO FRACTIONAL DIFFERENCE OPERATORS AND INTEGER-ORDER DIFFERENCES. SHILAP Revista de lepidopterología. 21 indexed citations
7.
Peterson, Allan, Lynn Erbe, & Baoguo Jia. (2011). ASYMPTOTIC BEHAVIOR OF n-TH ORDER SUBLINEAR DYNAMIC EQUATIONS ON TIME SCALES. 15(2). 1 indexed citations
8.
Erbe, Lynn & Allan Peterson. (2007). Recent results concerning dynamic equations on time scales.. 27. 51–70. 3 indexed citations
9.
Erbe, Lynn, Allan Peterson, & Samir H. Saker. (2006). Oscillation criteria for second-order nonlinear delay dynamic equations. Journal of Mathematical Analysis and Applications. 333(1). 505–522. 102 indexed citations
10.
Erbe, Lynn, Allan Peterson, & Samir H. Saker. (2006). Hille and Nehari type criteria for third-order dynamic equations. Journal of Mathematical Analysis and Applications. 329(1). 112–131. 79 indexed citations
11.
Erbe, Lynn, et al.. (2005). Square integrability of Gaussian bells on time scales. Computers & Mathematics with Applications. 49(5-6). 871–883. 3 indexed citations
12.
Erbe, Lynn, Allan Peterson, & P. Řehák. (2002). Comparison theorems for linear dynamic equations on time scales. Journal of Mathematical Analysis and Applications. 275(1). 418–438. 61 indexed citations
13.
Erbe, Lynn, et al.. (1994). On the Existence of Positive Solutions of Ordinary Differential Equations. Proceedings of the American Mathematical Society. 120(3). 743–743. 87 indexed citations
14.
Erbe, Lynn & Haiyan Wang. (1994). On the existence of positive solutions of ordinary differential equations. Proceedings of the American Mathematical Society. 120(3). 743–748. 395 indexed citations breakdown →
15.
Erbe, Lynn & Qingkai Kong. (1994). Oscillation and Nonoscillation Properties of Neutral Differential Equations. Canadian Journal of Mathematics. 46(2). 284–297. 8 indexed citations
16.
Erbe, Lynn, et al.. (1992). Disconjugacy for linear Hamiltonian difference systems. Journal of Mathematical Analysis and Applications. 167(2). 355–367. 45 indexed citations
17.
Erbe, Lynn & Xinzhi Liu. (1990). Existence results for boundary value problems of second order impulsive differential equations. Journal of Mathematical Analysis and Applications. 149(1). 56–69. 39 indexed citations
18.
Erbe, Lynn. (1985). Stability results for periodic second order linear differential equations. Proceedings of the American Mathematical Society. 93(2). 272–276. 3 indexed citations
19.
Erbe, Lynn. (1980). Hille-Wintner type comparison theorem for selfadjoint fourth order linear differential equations. Proceedings of the American Mathematical Society. 80(3). 417–422. 6 indexed citations
20.
Erbe, Lynn. (1970). Nonlinear boundary value problems for second order differential equations. Journal of Differential Equations. 7(3). 459–472. 49 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Weigao Ge Breakdown of academic impact, for papers by Patricia J. Y. Wong Breakdown of academic impact, for papers by K. Balachandran Breakdown of academic impact, for papers by Gaston M. N’Guérékata Breakdown of academic impact, for papers by Samir H. Saker Breakdown of academic impact, for papers by Said R. Grace Breakdown of academic impact, for papers by István Győri Breakdown of academic impact, for papers by Alberto Cabada Breakdown of academic impact, for papers by A. C. Lazer Breakdown of academic impact, for papers by Ruyun Ma
Rankless by CCL
2026