Oscillation of Neural Type Nonlinear Impulsive Hyperbolic Equations with Several Delays

Li Xiao; Ji Chen Yang; Guang Jie Liu; An Ping Liu

doi:10.4028/www.scientific.net/AMM.275-277.843

Paper Titles

Research of Ultrasonic Oblique Incidence for Testing Bonding Strength Weakening in SRM
p.819

Analysis and Circuit Simulation of New Five Terms Chaotic System
p.825

The Green’S Function Solution of Right-Angle Plane Including a Semi-Cylindrical Canyon
p.830

Based on the Improved Homotopy Perturbation Method for Solving Nonlinear Equations
p.836

Oscillation of Neural Type Nonlinear Impulsive Hyperbolic Equations with Several Delays
p.843

Oscillation of Nonlinear Impulsive Hyperbolic Equations of Neutral Type
p.848

Research on the Dynamic Response of Floating Foundation of a Tri-Floater Offshore Wind Turbine
p.852

A Method for Improving Envelope Spectrum Symptom of Fault Rolling Bearing Based on the Auto-Correlation Acceleration Signal
p.856

Reducing Vibration with Advanced Lubricants for Mechanical System
p.865

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 275-277Oscillation of Neural Type Nonlinear Impulsive...

Oscillation of Neural Type Nonlinear Impulsive Hyperbolic Equations with Several Delays

Abstract:

In this paper, oscillatory properties of solutions for neutral type nonlinear impulsive hyperbolic partial diﬀerential equations with several delays are investigated and a series of suﬃcient conditions for oscillation of the equations are established.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 275-277)

Pages:

843-847

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.275-277.843

Citation:

Cite this paper

Online since:

January 2013

Authors:

Li Xiao, Ji Chen Yang, Guang Jie Liu, An Ping Liu

Keywords:

Delay, Hyperbolic Equation, Impulsive, Neutral Type, Oscillation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] D.D. Bainov, E. Minchev. Oscillation of solutions of impulsive nonlinear parabolic diﬀerential diﬀerence equations[J]. International Journal of Theoretical Physic, 1996, 35(1): 207–215.

DOI: 10.1007/bf02082944

Google Scholar

[2] D.D. Bainov, E. Minchev. Forced oscillations of solutions of impulsive nonlinear parabolic dif- ferential-diﬀerence equations[J]. Journal of the Korean Mathematical Society, 1998, 35(4): 881–890.

Google Scholar

[3] B.T. Cui, Y.Q. Liu, F.Q. Deng. Some oscillation problems for impulsive hyperbolic diﬀerential systems with several delays[J]. Applied Mathematics and Computation, 2003, 146(2–3): 667–679.

DOI: 10.1016/s0096-3003(02)00611-2

Google Scholar

[4] L. Erbe, H. Freedman, X. Liu, J.H. Wu. Comparison principles for impulsive parabolics equations with application to models of single species growth[J]. Journal of the Australian Mathematical Society, 1991, 32, 382–400.

DOI: 10.1017/s033427000000850x

Google Scholar

[5] V. Lakshmikantham, D.D. Bainov, P.S. Simeonov. Theory of impulsive diﬀerential equations[M]. Singapore, World Scientiﬁc, (1989).

Google Scholar

[6] A.P. Liu, M.X. He. Oscillatory properties of the solutions of nonlinear delay hyperbolic diﬀerential equations of neutral type[J]. Applied Mathematics and Mechanics, 2002, 23(6): 678–685.

DOI: 10.1007/bf02437652

Google Scholar

[7] A.P. Liu, T. Liu, Q.X. Ma, M. Zou. Oscillation of nonlinear hyperbolic equation with impulses[J]. International Journal of Mathematical Analysis, 2007, 1(15): 719–725.

Google Scholar

[8] A.P. Liu Q.X. Ma,M.X. He. Oscillationofnonlinearimpulsiveparabolic equations of neutral type[J]. Rocky Mountain Journal of Mathematics, 2006, 36(3): 1011–1026.

Google Scholar

[9] A.P. Liu, L. Xiao, M.X. He. Oscillation of nonlinear hyperbolic diﬀerential equations with impu- lses[J]. Nonlinear Oscillations, 2004, 7(4): 425–431.

Google Scholar

[10] A.P. Liu, L. Xiao, T. Liu. Oscillation of nonlinear impulsive hyperbolic equations with several delays[J]. Electronic Journal of Diﬀerential Equations, 2004, 2004(24): 1–6.

Google Scholar

[11] J.W. Luo. Oscillation of hyperbolic partial diﬀerential equations with impulses[J]. Applied M- athematics and Computation, 2002, 133: 309–318.

DOI: 10.1016/s0096-3003(01)00217-x

Google Scholar

[12] D.P. Mishev, D.D. Bainov. A necessary and suﬃcient condition for oscillation of neutral type hyperbolic equations[J]. Journal of Computational and Applied Mathematics, 1992, 42(2): 215–220.

DOI: 10.1016/0377-0427(92)90075-9

Google Scholar