Oscillation theorems for certain neutral functional differential equations

Computers and Mathematics with Applications

Volumn 38, Issue 11, 1999, Pages 1-11

  Agarwal, R P ^a   Grace, S R ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b CAIRO UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; MATHEMATICAL MODELS; THEOREM PROVING;

NEUTRAL DIFFERENTIAL EQUATIONS; OSCILLATION OF SOLUTIONS; PERIODIC COEFFICIENTS;

DIFFERENTIAL EQUATIONS;

EID: 0345504212     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00280-1     Document Type: Article

References (16)

1. S.R. Grace, On the oscillation of mixed neutral equations, J. Math. Anal. Appl. 194, 377-388, (1995).
2. S.R. Grace, Oscillations of mixed neutral functional differential equations, Appl. Math. Comput. 68, 1-13, (1995).
3. th order neutral functional differential equations, J. Math. Anal. Appl. 184, 44-55, (1994).
4. S.R. Grace and B.S. Lalli, Oscillation theorems for certain neutral functional differential equations with periodic coefficients, Dynamic Syst. Appl. 3, 85-94, (1994).
5. S.R. Grace and B.S. Lalli, Oscillation theorems for second order neutral functional differential equations, Appl. Math. Comput. 51, 119-133, (1992).
6. S.R. Grace and B.S. Lalli, Oscillation theorems for certain neutral differential equations, Czech. Math. J. 38, 745-753, (1988).
7. S.R. Grace and B.S. Lalli, On the oscillation of certain neutral functional differential equations, Funkc. Ekavc. 36, 303-310, (1993).
8. S.R. Grace and B.S. Lalli, On the oscillation of certain higher order functional differential equations of neutral type, Funkc. Ekavc. 37, 211-220, (1994).
9. M.K. Grammatikopoulos, G. Ladas and A. Meimaridou, Oscillation and asymptotic behavior of higher order neutral equations with variable coefficients, Chinese Ann. Math. Ser. B 9, 322-338, (1988).
10. M.K. Grammatikopoulos, Y.G. Sficas and I.P. Stavroulakis, Necessary and sufficient conditions for oscillations of neutral equations with several coefficients, J. Diff. Eqns. 76, 294-311, (1988).
11. I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Oxford University Press, Oxford, (1991).
12. J. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, (1977).
13. G. Ladas and Y.G. Sficas, Oscillations of neutral delay differential equations, Canad. Math. Bull. 39, 438-445, (1986).
14. G. Ladas and Y.G. Sficas, Oscillation of higher order neutral equations, J. Austral. Math. Soc. Ser. B 27, 502-511, (1986).
15. M. Slemrod and E.F. Infante, Asymptotic stability criteria for linear systems of difference-differential equations of neutral type and their discrete analogues, J. Math. Anal. Appl. 38, 399-415, (1972).
16. Y. Kitamura, Oscillation of functional differential equations with general deviating arguments, Hiroshima Math. J. 15, 445-491, (1985).