full
search.png

Search

close.png

Cancel

Volume 5, Issue 4
Interval Oscillation Criteria for Nonlinear Neutral Impulsive Differential Equations

Limei Feng, Fanjun Li & Zhenlai Han

DOI: 10.12150/jnma.2023.740

J. Nonl. Mod. Anal., 5 (2023), pp. 740-752.

Published online: 2023-12

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 1110 14883

Cited by

google scholar semantic scholar
Export citation
  • Abstract

In this paper, we study the interval oscillation for nonlinear neutral impulsive differential equations. Sufficient condition for the interval oscillation of the equations is obtained by using Riccati transformation and estimating the ratio of unknown functions $y(t − σ(t))$ and $y(t).$ Some known results are generalized and improved. An example is given to illustrate the results.

  • Keywords

Interval oscillation theory, neutral differential equation, impulsive.

  • AMS Subject Headings

34C10, 34K40, 35R12

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JNMA-5-740, author = {Feng , LimeiLi , Fanjun and Han , Zhenlai}, title = {Interval Oscillation Criteria for Nonlinear Neutral Impulsive Differential Equations}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {4}, pages = {740--752}, abstract = {

In this paper, we study the interval oscillation for nonlinear neutral impulsive differential equations. Sufficient condition for the interval oscillation of the equations is obtained by using Riccati transformation and estimating the ratio of unknown functions $y(t − σ(t))$ and $y(t).$ Some known results are generalized and improved. An example is given to illustrate the results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.740}, url = {http://global-sci.org/intro/article_detail/jnma/22205.html} }
TY - JOUR T1 - Interval Oscillation Criteria for Nonlinear Neutral Impulsive Differential Equations AU - Feng , Limei AU - Li , Fanjun AU - Han , Zhenlai JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 740 EP - 752 PY - 2023 DA - 2023/12 SN - 5 DO - http://doi.org/10.12150/jnma.2023.740 UR - https://global-sci.org/intro/article_detail/jnma/22205.html KW - Interval oscillation theory, neutral differential equation, impulsive. AB -

In this paper, we study the interval oscillation for nonlinear neutral impulsive differential equations. Sufficient condition for the interval oscillation of the equations is obtained by using Riccati transformation and estimating the ratio of unknown functions $y(t − σ(t))$ and $y(t).$ Some known results are generalized and improved. An example is given to illustrate the results.

Feng , LimeiLi , Fanjun and Han , Zhenlai. (2023). Interval Oscillation Criteria for Nonlinear Neutral Impulsive Differential Equations. Journal of Nonlinear Modeling and Analysis. 5 (4). 740-752. doi:10.12150/jnma.2023.740
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard