Positive solutions of a superlinear first-order differential equation with delay depending on the unknown function

Journal of Computational and Applied Mathematics

Volumn 88, Issue 1, 1998, Pages 95-101

  Bainov, Drumi ^a   Simeonov, Pavel ^b  

^a MEDICAL UNIVERSITY OF SOFIA   (Bulgaria)

^b Air Force Academy   (Bulgaria)

Author keywords

Positive solutions; Superlinear differential equation with delay

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

POSITIVE SOLUTIONS; SUPERLINEAR DIFFERENTIAL EQUATION WITH DELAY;

DIFFERENTIAL EQUATIONS;

EID: 0031998032     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00213-6     Document Type: Article

References (10)

1. D.C. Angelova, D.D. Bainov, On some oscillating properties of the solutions of a class of functional-differential equations, Tsukuba J. Math. 5 (1) (1981) 39-46.
2. D.C. Angelova, D.D. Bainov, On oscillation of solutions of forced functional differential equations of second order, Math. Nachr. 122 (1985) 289-300.
3. D.Ts. Angelova, D.D. Bainov, Oscillatory and asymptotic behaviour of the solutions of first-order functional differential equations, IMA J. Appl. Math. 39 (1987) 75-89.
4. L.H. Erbe, Q. Kong, B.G. Zhang, Oscillation Theory for Functional Differential Equations, Pure and Applied Mathematics, vol. 190, Marcel Dekker, New York, 1995.
5. I. Györi, G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991.
6. Ju.S. Kolessov, D.I. Shvirta, Mathematical modelling of the process of combustion in the camera of liquid propellant rocket motors, Litovsk. Mat. Sb. 4 (1975) (in Russian).
7. Ju.S. Kolessov, D.I. Shvirta, Self-Excited Oscillations in Systems with Delay, Vilnjus, 1979 (in Russian).
8. R.G. Koplatadze, Monotone solutions of first order nonlinear differential equations with retarded arguments, Tbiliss Gos. Univ. Inst. Prikl. Mat. Trudy 8 (1980) 24-28 (in Russian).
9. G.S. Ladde, V. Lakshmikantham, B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Pure and Applied Mathematics, vol. 110, Marcel Dekker, New York, 1987.
10. S.B. Norkin, On self-excitation and damping of oscillations in a system with autoregulating lag, Proc. Seminar on the Theory of Differential Equations with Deviating Argument, vol. 5, 1967, pp. 148-160 (in Russian).