Skip to main content
SpringerLink
Log in

Oscillation Criteria for Second Order Functional Differential Equation

  • Conference paper
  • First Online:
Book cover Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 212))

  • 1083 Accesses

Abstract

In this paper, by introducing nonnegative kernel function H(t, s) and h(t, s), using the generalized Riccati technique and the integral averaging technique, second order functional differential equations with deviating arguments are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Yu YH, Fu XL (1991) Oscillation of second order nonlinear neutral equation with continuous distributed deviating argument. Rad Mat 7:167–176

    MathSciNet  Google Scholar 

  2. Li HJ, Yeh CC (1995) Oscillations of half-linear second order differential equations. Hiroshima Math J 25:585–594

    MathSciNet  MATH  Google Scholar 

  3. Hsu HB, Yeh CC (1996) Oscillation theorems for second order half-linear differential equations. Appl Math Lett 9:71–77

    Article  MathSciNet  MATH  Google Scholar 

  4. Manojlović (1999) Oscillation criteria for second-order half-linear differential equations. Math Comput Model 30:109–119

    Article  MathSciNet  MATH  Google Scholar 

  5. Wang QR (2001) Oscillation and asymptotic for second-order half-linear differential equations. Appl Math Comput 122:253–266

    MathSciNet  MATH  Google Scholar 

  6. Yang XJ (2002) Oscillation results for second-order half-linear differential equations. Math Comput Model 36:503–507

    Article  MathSciNet  MATH  Google Scholar 

  7. Wang PG, Li XW (2003) Further results on oscillation of a class of second-order neutral equations. Comput Appl Math 157:407–418

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Science, Anhui University of Science and Technology, Huainan, 232001, China

    Nan Tang

  2. Huaihu Coal and Electric Power Company, Huainan, 232001, China

    Jie Zhang

Authors
  1. Nan Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jie Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nan Tang .

Editor information

Editors and Affiliations

  1. School of Science, Anhui University of Science & Technology, Huainan, China

    Zhixiang Yin

  2. Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  3. Anhui University of Science & Technology, Huainan, China

    Xianwen Fang

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tang, N., Zhang, J. (2013). Oscillation Criteria for Second Order Functional Differential Equation. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-37502-6_42

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37501-9

  • Online ISBN: 978-3-642-37502-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation