REFERENCES

[1] A. Ardjouni, A. Djoudi, Stability in nonlinear neutral integro-differential

equations with variable delay using fixed point theory, J. Appl. Math.

Comput., 44 (2014), 317-336.

[2] A. Ardjouni, A. Djoudi, Fixed point and stability in neutral nonlinear

differential equations with variable delays, Opuscula Mathematica, 32,

No. 1 (2012), 5-19.

LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS 95

[3] A. Ardjouni, A. Djoudi, I. Soualhia, Stability for linear neutral integro-

differential equations with variable delays, Electronic journal of Differen-

tial Equations, 2012, No. 172 (2012), 1-14.

[4] A. Ardjouni, I. Derrardjia and A. Djoudi, Stability in totally nonlin-

ear neutral differential equations with variable delay, Acta Math. Univ.

Comenianae, LXXXIII, No. 1 (2014), 119-134.

[5] L. C. Becker, T. A. Burton, Stability, fixed points and inverse of delays,

Proc. Roy. Soc. Edinburgh, 136A (2006), 245-275.

[6] T. A. Burton, Fixed points and stability of a nonconvolution equation,

Proceedings of the American Mathematical Society, 132 (2004), 3679-

3687.

[7] T. A. Burton, Stability by Fixed Point Theory for Functional Differential

Equations, Dover Publications, New York, 2006.

[8] T. A. Burton, Liapunov functionals, fixed points, and stability by Kras-

noselskii’s theorem, Nonlinear Studies, 9 (2001), 181-190.

[9] T. A. Burton, Stability by fixed point theory or Liapunov’s theory, A

comparison, Fixed Point Theory, 4 (2003), 15-32.

[10] T. A. Burton, T. Furumochi, Asymptotic behavior of solutions of func-

tional differential equations by fixed point theorems, Dynamic Systems

and Applications, 11 (2002), 499-519.

[11] T. A. Burton, T. Furumochi, Krasnoselskii’s fixed point theorem and

stability, Nonlinear Analysis, 49 (2002), 445-454.

[12] I. Derrardjia, A. Ardjouni, and A. Djoudi, Stability by Krasnoselskii’s the-

orem in totally nonlinear neutral differential equation, Opuscula Math.,

33, No. 2 (2013), 255-272.

[13] N. T. Dung, Asymptotic behavior of linear advanved differential equa-

tions, Acta Mathematica Scientia, 35B, No. 3 (2015), 610-618.

[14] N. T. Dung, New stability conditions for mixed linear Levin-Nohel

integro-differential equations, Journal of Mathematical Physics, 54,

082705 (2013), 1-11.

96 K.A. Khelil, A. Ardjouni, A. Djoudi

[15] C. H. Jin, J. W. Luo, Stability of an integro-differential equation, Com-

puters and Mathematics with Applications, 57 (2009