Oscillation Criterion of Third-Order Nonlinear Neutral Damped Functional Differential Equations

Yun Hui Zeng

doi:10.4028/www.scientific.net/AMM.204-208.4835

Paper Titles

Digital Image Measurement Technology for High-Rise Structure Torsion Deformation Measuring
p.4813

Research on Numerical Integration Algorithm for MDOF Pseudo-Dynamic Test
p.4820

A Heterogeneous Strategy Genetic Algorithm and its Application in Dynamic Optimization of Structure
p.4827

Rules of CST Blunt Edge Roundness and the Influence on Collision Characteristics
p.4831

Oscillation Criterion of Third-Order Nonlinear Neutral Damped Functional Differential Equations
p.4835

Deterministic Method of Floor Rock Permeability Tensor of Mining over Confined Water and Application in Numerical Simulation
p.4840

Structure Optimal Design for Portable Exoskeleton Using Improved Particle Swarm Optimization
p.4845

Weibull Model Based on the Maximum Entropy Principle and its Applications on Elements Grade Distribution
p.4851

Integrated Design of Control/Structural Systems Based on Genetic Algorithm
p.4855

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 204-208Oscillation Criterion of Third-Order Nonlinear...

Oscillation Criterion of Third-Order Nonlinear Neutral Damped Functional Differential Equations

Abstract:

In this paper, A class of third-order nonlinear neutral damped functional differential equations with distributed deviating arguments are studied. By using a generalized Riccati transformation and Kamenev-type or Philos-type integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero.

You might also be interested in these eBooks

Progress in Industrial and Civil Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 204-208)

Pages:

4835-4839

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.204-208.4835

Citation:

Cite this paper

Online since:

October 2012

Authors:

Yun Hui Zeng*

Keywords:

Damped Terms, Distributed Deviating Arguments, Oscillation Criterion

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Grace S R, Agarwal R P, Pavani R. On the oscillation of certain third order nonlinear functional differtial equations[J].Appl Math Comput,2008,202,102-112.

DOI: 10.1016/j.amc.2008.01.025

Google Scholar

[2] Tiryaki A, Aktas M F.Oscillation criteria of a certain class of third order linear different equations with damping[J].J Math Anal Appl,2007,325,54-68.

DOI: 10.1016/j.jmaa.2006.01.001

Google Scholar

[3] Parhi N,Das P. On asymptotic behavior of delay differential equations of third order[J]. Nonlinear Anal,1998,34,391-403.

DOI: 10.1016/s0362-546x(97)00600-7

Google Scholar

[4] Tiryaki A,Yaman S.Asymptotic behavior of a class of nonlinear functional differential equations of third order[J].Appl Math Letters,2001,14,327-332.

DOI: 10.1016/s0893-9659(00)00157-9

Google Scholar

[5] PHILOS,CH. G. Oscillation theorems for linear differential equation of second order, Arch. Math(Basel),1989,53,483-492.

DOI: 10.1007/bf01324723

Google Scholar

[6] Hille E. Non-oscillation theorems[J]. Trans. Amer. Math.Soc.1948,64:234-253.

Google Scholar

[7] Erbe L.Oscillation criteria for second order nonlinear delay equations[J].Canad Math Bull,1973,16:49-56.

DOI: 10.4153/cmb-1973-011-1

Google Scholar