NONOSCILLATORY SOLUTIONS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENTS DEPENDING ON THE UNKNOWN FUNCTION

[1] D.C. Angelova and D.D. Bainov, On some oscillating properties of the solutions of a class of functional differential equations, Tsukuba J. Math., 5 (1981), no. 1, 39-46.
[2] D.C. Angelova and D.D. Bainov, On oscillation of solutions of forced functional differential equations of second order, Math. Nachr., 122 (1985), 289-300.
[3] D.Tc. Angelova and D.D. Bainov, Oscillatory and asymptotic behaviour of the solutions of first-order functional differential equations, IMA Journal of Applied Mathematics, 39 (1987), 75-89.
[4] D.D. Bainov and P.S. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications, Ellis Horwood Series in Mathematics and its Applications, 1989.
[5] D.D. Bainov, N.T. Markova, and P.S. Simeonov, Asymptotic behaviour on the nonoscillatory solutions of differential equations of second order with delay depending on the unknown function, Journal of Computational and Applied Mathematics, 91 (1998), 87-96.
[6] L.H. Erbe, Q. Kong, and B.G. Zhang, Oscillation Theory for Functional Differential Equations, Pure and Applied Mathematics, 190, Marcel Dekker, 1995.
[7] I. Gy ̈ori and G. Ladas, Oscillation Theory of Delay Differential Equations: With Applications, Clarendon Press, Oxford, 1991.
[8] R.S. Hamilton, The inverse function theorems of Nach and Moser, Bulletin (New Series) of the American Mathematical Society, 7 (1982), no. 1, 65-222.
[9] Yu.S. Kolesov and D.I. Shvirta, Mathematical modeling of the process of combustion in the camera of liquid propellant rocket motors, Litovskii Math. Sb., 15, (1979), no. 4, In Russian.
[10] Yu.S. Kolesov and D.I. Shvirta, Self-Excited Oscillations in Systems with Delay, Vilnjus, 1979, In Russian.

[11] G.S. Ladde, V. Lakshmikantham, and B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Pure and Applied Mathematics, 110, Marcel Dekker, 1987.
[12] G. Ladas and Y.G. Sficas, Oscillations of neutral delay differential equations, Canad. Math. Bull., 29 (1986), 438-445.
[13] Ming-Po Chen, J.S. Yu, and Z.C. Wang, Nonoscillatory solutions of neutral delay differential equations, Bull. Austral. Math. Soc., 48 (1993), 475-483.
[14] N.T. Markova and P.S. Simeonov, On the asymptotic behaviour of the solutions of a class of differential equations of second order with delay depending on the
unknown function, Invited lectures delivered at the VII-th Int. Colloquium on Differential Equations, August 18-23, 1996, Plovdiv, Bulgaria, Volume 1, 89-100.
[15] N.T. Markova and P.S. Simeonov, Asymptotic and oscillatory properties of the solutions of differential equations with delay depending on the unknown function, Invited lectures delivered at the VII-th Int. Colloquium on Differential Equations, Volume 2, August 18-23, 1996. Plovdiv, Bulgaria, 71-78.
[16] N.T. Markova and P.S. Simeonov, Oscillatory and asymptotic behaviour of the solutions of first order differential equations with delays depending on the unknown function, Invited lectures deliverd at the VII-th Int. Colloquium on Differential Equations, Volume 2, August 18-23, 1996. Plovdiv, Bulgaria, 79-92.
[17] S.B. Norkin, On self-excitation and damping of oscillations in a system with auto-regulating lag, Proc. of the Seminar on the Theory of Differential Equations with Deviating Argument, 5 (1967), 148-160, In Russian.
[18] J.S. Yu, Z.C. Wang, and C. Qian, Oscillation and nonoscillation of neutral differential equations, Bull. Austral. Math. Soc., 45 (1992), 195-200.