Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument

• Autorzy: D. D. Bainov , M. B. Dimitrova
• Języki publikacji: EN

Abstrakty

EN

Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.

Słowa kluczowe

EN

piecewise constant argument; operator-differential equations; oscillation and nonoscillation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1995-1996
• Tom: 23
• Numer: 4
• Strony: 371-378

Daty

wydano

1996

otrzymano

1994-11-08

Twórcy

autor

D. D. Bainov

• Medical University of Sofia, P.O. Box 45, Sofia 1504, Bulgaria

autor

M. B. Dimitrova

• Technical University, Sliven, Bulgaria

Bibliografia

• [1] A. R. Aftabizadeh and J. Wiener, Oscillatory properties of first order linear functional differential equations, Appl. Anal. 20 (1985), 165-187.
• [2] V. G. Angelov and D. D. Bainov, On the functional differential equations with 'maximums', ibid. 16 (1983), 187-194.
• [3] S. Busenberg and K. L. Cooke, Models of vertically transmitted diseases with sequential continuous dynamics, in: Nonlinear Phenomena in Mathematical Science, V. Lakshmikantham (ed.), Academic Press, New York, 1982, 179-187.
• [4] K. L. Cooke and J. Wiener, Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl. 99 (1984), 265-297.
• [5] B. G. Zhang and N. Parhi, Oscillatory and nonoscillatory properties of first order differential equations with piecewise constant deviating arguments, ibid. 139 (1989), 23-35.