Skip to main content
Advances in Difference Equations
Advances in Difference Equations Cover Image
Download PDF

Asymptotic behavior of solutions for neutral dynamic equations on time scales

Advances in Difference Equations volume 2006, Article number: 080850 (2006) Cite this article

Abstract

We investigate the boundedness and asymptotic behavior of a first-order neutral delay dynamic equation on arbitrary time scales, extending some results from difference equations.

[123456123456]

References

  1. 1.

    Anderson DR, Krueger RJ, Peterson AC: Delay dynamic equations with stability. Advances in Difference Equations 2006, 2006: 19 pages.

    MathSciNet  Google Scholar 

  2. 2.

    Berezansky L, Braverman E: Oscillation of a logistic difference equation with several delays. Advances in Difference Equations 2006, 2006: 12 pages.

    MathSciNet  Article  Google Scholar 

  3. 3.

    Bohner M, Peterson AC: Dynamic Equations on Time Scales, An Introduction with Applications. Birkhäuser, Massachusetts; 2001:x+358.

    Google Scholar 

  4. 4.

    Bohner M, Peterson AC (Eds): Advances in Dynamic Equations on Time Scales. Birkhäuser, Massachusetts; 2003:xii+348.

    Google Scholar 

  5. 5.

    Erbe LH, Xia H, Yu JS: Global stability of a linear nonautonomous delay difference equation. Journal of Difference Equations and Applications 1995,1(2):151–161. 10.1080/10236199508808016

    MathSciNet  Article  MATH  Google Scholar 

  6. 6.

    Hilger S: Analysis on measure chains—a unified approach to continuous and discrete calculus. Results in Mathematics 1990,18(1–2):18–56.

    MathSciNet  Article  MATH  Google Scholar 

Download references

Author information

Affiliations

  1. Department of Mathematics and Computer Science, Concordia College, Moorhead, MN, 56562, USA

    Douglas R Anderson

Authors
  1. Douglas R Anderson
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Douglas R Anderson.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Anderson, D.R. Asymptotic behavior of solutions for neutral dynamic equations on time scales. Adv Differ Equ 2006, 080850 (2006). https://doi.org/10.1155/ADE/2006/80850

Download citation

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Asymptotic Behavior