Lynn Erbe

Applied Mathematics · 2000–2016

A researcher in the Science corpus: 18 papers; trusts 15 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 64 citations into it; #500 of 7,620 by trust here, #295 by citations
• Numerical Analysis — 50 citations into it; #342 of 3,586 by trust here, #203 by citations
• Modeling and Simulation — 40 citations into it; #208 of 2,105 by trust here, #194 by citations
• Control and Systems Engineering — 11 citations into it; #1,160 of 8,257 by trust here, #1,213 by citations
• Computational Theory and Mathematics — 9 citations into it; #6,453 of 12,182 by trust here, #5,046 by citations
• Statistical and Nonlinear Physics — 9 citations into it

Whom Lynn Erbe trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Martin J. Bohner
2. Allan Peterson
3. Samir H. Saker
4. Ravi P. Agarwal
5. Rui A. C. Ferreira
6. Ondrej Doslý
7. Ferhan Merdivenci Atici
8. Christopher S. Goodrich
9. Taher S. Hassan
10. Paul W. Eloe

Who trusts Lynn Erbe overall

1. Samir H. Saker
2. Ravi P. Agarwal
3. Martin J. Bohner
4. Allan Peterson
5. J. R. L. Webb
6. Tongxing Li
7. Taher S. Hassan
8. Gennaro Infante
9. Zhenlai Han
10. Christopher S. Goodrich

Papers from Lynn Erbe's perspective

Ordered by how strongly the researchers Lynn Erbe trusts endorse each paper. Same corpus, a different order for every researcher.

1. Dynamic Equations on Time Scales: An Introduction with Applications
2. Oscillation criteria of second-order half-linear dynamic equations on time scales
3. Taming nature's numbers
4. Hille and Nehari type criteria for third-order dynamic equations
5. Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales
6. Initial value problems in discrete fractional calculus
7. Oscillation of Second Order Delay Dynamic Equations
8. A necessary and sufficient condition for oscillation of the Sturm--Liouville dynamic equation on time scales
9. A discrete fractional Gronwall inequality
10. Oscillation Results for Second-order Linear Equations on a Time Scale

Their papers

• Oscillation criteria for second-order matrix dynamic equations on a time scale (2002) — 88 citations
• Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions (2016) — 69 citations
• Convexity for nabla and delta fractional differences (2015) — 69 citations
• Two monotonicity results for nabla and delta fractional differences (2015) — 76 citations
• Comparison theorems and asymptotic behavior of solutions of discrete fractional equations (2015) — 48 citations
• Oscillation of third order nonlinear functional dynamic equations on time scales (2010) — 68 citations
• Oscillation Criteria for Half-Linear Delay Dynamic Equations on Time Scales (2009) — 70 citations
• Oscillation criteria for nonlinear functional neutral dynamic equations on time scales (2009) — 64 citations
• Oscillation Criteria for Sublinear Half-Linear Delay Dynamic Equations (2009) — 49 citations
• Oscillation criteria for second-order nonlinear delay dynamic equations (2007) — 146 citations
• Hille and Nehari type criteria for third-order dynamic equations (2007) — 105 citations
• Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale (2005) — 104 citations
• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales (2005) — 99 citations
• Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales (2003) — 138 citations
• Comparison theorems for linear dynamic equations on time scales (2002) — 89 citations
• Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems (2000) — 72 citations
• Positive solutions for a nonlinear differential equation on a measure chain (2000) — 181 citations
• Eigenvalue conditions and positive solutions (2000) — 60 citations