Lynn Erbe

6.7k citations
201 papers · 5.0k · 1 hit paper · h-index 40

Impact in

    • Differential Equations and Numerical Methods
    • Numerical methods for differential equations
    • Nonlinear Differential Equations Analysis
    • Differential Equations and Boundary Problems

Papers in

    • Nonlinear Differential Equations Analysis 144
    • Differential Equations and Boundary Problems 51
    • Differential Equations and Numerical Methods 101
    • Numerical methods for differential equations 64

Lynn Erbe

188 papers receiving 4.2k citations

Lynn Erbe's Hit Papers

On the existence of positive solutions of ordinary differential equations 1994 · 397 citations
3970+10+21Years since publication100200300

Peers

Lynn Erbe
Comparison fields: 5 of 70
  • Numerical Analysis 2.8k
  • Applied Mathematics 4.2k
  • Modeling and Simulation 1.1k
  • Mathematical Physics 547
  • Geometry and Topology 442
Replace Gaston M. N‘Guérékata with:
Gaston M. N‘Guérékata United States
Patricia J. Y. Wong Singapore
KRISHNAN BALACHANDRAN India
Weigao Ge China
Alberto Cabada Spain
Alan C. Lazer United States
Samir H. Saker Egypt
Paul W. Eloe United States
Nazim Idrisoglu Mahmudov Cyprus
Gerasimos Ladas United States
Lynn Erbe relative to Gaston M. N‘Guérékata United States Gaston M. N‘Guérékata's profile →
Citations per field
00.5×1.5×2.0×
Gaston M. N‘Guérékata · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Lynn Erbe, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Lynn Erbe Line = papers co-authored together Lynn Erbe links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 201 papers — load more, or switch the sort, to bring in the rest.

#Work
1
On the existence of positive solutions of ordinary differential equations
Hit paper breakdown →
1994397
2 1994220
3 2000151
4 1989139
5 2003121
6 2002104
7 2006104
8 1991103
9 198698
10 199488
11 200681
12 200480
13 200477
14 199572
15 197369
16 198768
17 200267
18 198864
19 198964
20 197663

About Lynn Erbe

Lynn Erbe is a scholar working on Applied Mathematics, Numerical Analysis, Modeling and Simulation, Geometry and Topology and Control and Systems Engineering, having authored 201 papers that have together received 5.0k indexed citations. Recurring topics across this work include Nonlinear Differential Equations Analysis (144 papers), Differential Equations and Numerical Methods (101 papers), Numerical methods for differential equations (64 papers), Differential Equations and Boundary Problems (51 papers), Fractional Differential Equations Solutions (47 papers), Stability and Controllability of Differential Equations (38 papers), Advanced Differential Equations and Dynamical Systems (23 papers) and Advanced Mathematical Modeling in Engineering (20 papers). The work is most often cited by research in Numerical Analysis (2.8k citations), Applied Mathematics (4.2k citations), Modeling and Simulation (1.1k citations), Mathematical Physics (547 citations) and Geometry and Topology (442 citations). Lynn Erbe has collaborated with scholars based in United States, Canada and China. Frequent co-authors include Allan C. Peterson, Haiyan Wang, Samir H. Saker, Baoguo Jia, Taher S. Hassan, Wiesław Krawcewicz, Herbert I. Freedman, G. J. Butler, Qingkai Kong and Shaozhu Chen. Their work appears in journals such as The Journal of Difference Equations and Applications, Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society, Applied Mathematics and Computation and Nonlinear Analysis.

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