Positive solutions for a nonlinear differential equation on a measure chain

By Lynn Erbe, Allan Peterson. 2000

181 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/952037565c4137e82ab45a43fdc912742b1bb47b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Martin J. Bohner
2. Samir H. Saker
3. Ravi P. Agarwal
4. Allan Peterson
5. Lynn Erbe
6. Donal O'Regan
7. Tongxing Li
8. J. Henderson

In Control and Systems Engineering

1. Martin J. Bohner
2. Samir H. Saker
3. Ravi P. Agarwal
4. Allan Peterson
5. Lynn Erbe
6. J. Henderson
7. Donal O'Regan
8. Tongxing Li

In Modeling and Simulation

1. Samir H. Saker
2. Martin J. Bohner
3. Ravi P. Agarwal
4. Allan Peterson
5. Lynn Erbe
6. Donal O'Regan
7. J. Henderson
8. E. Akın

Citations in the corpus

• Existence of three positive solutions to a second-order boundary value problem on a measure chain (2002, unknown): “The Green’s function [17] for the related homogeneous problem −x11(t)= 0 with boundary conditions (2) is given by”
• Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales (2004, methodology): “For oscillation of dieren t dynamic equations on time scales, we refer the reader to the papers [1-5, 8-11 , 18, 20, 21].”
• Double Solutions of Impulsive Dynamic Boundary Value Problems on a Time Scale (2002, background): “At this point and for the readers’ convenience, we state a few definitions which are basic to the calculus on the time scale T [20,21].”
• Oscillation of second-order damped dynamic equations on time scales (2007, background): “In the last few years, much interest has focused on obtaining sufficient conditions for the oscillation/nonoscillation of solutions of different classes of dynamic equations on time scales, and we refer the reader to the papers [3–7,10–20,22,25–27].”
• Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. (2007, background): “In [3], Akın-Bohner and Hoffacker considered the second order dynamic equation (1.4) P Q and gave necessary and sufficient conditions for oscillation of all solutions when *R7S9 and 4 * 4 9 .”
• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales (2005, methodology): “nonoscillation of solutions of some dynamic equations on time scales, and we refer the reader to the papers [3, 4, 6-15, 18, 19].”
• Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales (2003, result): “It is clear that the results given in Erbe and Peterson [9] cannot be applied when p is unbounded, µ (t) = 0 and q (t) = t−α when α > 1.”
• Oscillation of second-order nonlinear neutral delay dynamic equations on time scales (2006, background): “We refer the reader to the papers [2–4,7–14,21–23] and the reference cited therein.”