### New Stability Conditions for the Delayed Lienard Nonlinear Equation via Fixed Point Technique

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A. Ardjouni, A. Djoudi, Stability in nonlinear neutral integro-differential equations

with variable delay using xed point theory, J. Appl. Math. Comput. (2014) 44:317{

A. Ardjouni, A. Djoudi, Fixed points and stability in linear neutral differential equa-

tions with variable delays, Nonlinear Analysis 74 (2011), 2062-2070.

A. Ardjouni, A. Djoudi, Stability in nonlinear neutral differential with variable de-

lays using xed point theory, Electronic Journal of Qualitative Theory of Differential

Equations, 2011, No. 43, 1{11.

A. Ardjouni, A. Djoudi, Fixed point and stability in neutral nonlinear differential

equations with variable delays, Opuscula Mathematica, Vol. 32, No. 1, 2012, pp.

{19.

A. Ardjouni, A. Djoudi, I. Soualhia, Stability for linear neutral integro-differential

equations with variable delays, Electron. J. Differ. Equ., Vol. 2012 (2012), No. 172,

{14.

L. C. Becker and T. A. Burton, Stability, xed points and inverse of delays, Proc.

Roy. Soc. Edinburgh 136 A (2006) 245{275.

T. A. Burton, Stability by xed point theory for functional differential equations, Dover

Publications, New York, 2006.

T. A. Burton, Stability by xed point theory or Liapunov's theory: A comparison,

Fixed Point Theory 4 (2003) 15{32.

T.A. Burton, Stability and periodic solutions of ordinary functional differential equa-

tions, Academic Press. NY, 1985.

T. A. Burton, Fixed points, stability, and exact linearization, Nonlinear Analysis, Vol.

(2005), 857{870.

A. Djoudi and R. Khemis, Fixed point techniques and stability for neutral nonlinear

differential equations with unbounded delays, Georgian Mathematical Journal, Vol.

(2006), No. 1, 25{34.

C. H. Jin and J. W. Luo, Stability of an integro-differential equation, Computers and

Mathematics with Applications 57 (2009), 1080-1088.

J. K. Hale, Theory of functional differential equations, Springer Verlag, New York,

NY, USA, 1977.

J. J. Levin and J. A. Nohel, Global asymptotic stability for nonlinear systems of differ-

ential equations and applications to reactor dynamics, Archive for Rational Mechanics

and Analysis, Vol. 5, 1960, pp. 194{211.

M. B. Mesmouli, A. Ardjouni and A. Djoudi, Study of the periodic and nonnega-

tive periodic solutions of functional differential equations via xed points, Azerbaijan

Journal of Mathematics, Vol. 6, No. 2, 2016, pp.70-86.

D. Pi, Study the stability of solutions of functional differential equations via xed

points, Nonlinear Analysis, Vol. 74 (2011), pp. 639{651.

D. Pi, Stability conditions of second order integrodifferential equations with variable

delay, Abstract and Applied Analysis, Vol. 2014 (2014), Article ID371639, 1{11.

D. Pi, Fixed points and stability of a class of integrodifferential equations, Mathemat-

ical Problems in Engineering, Vol. 2014 (2014), Article ID 286214, 1{10.

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