Oscillation and asymptotic behavior of neutral differential equations with deviating arguments

References

• Brayton , R. K. and Willoughby , R. A. 1967 . On the numerical integration of a symmetric system of difference-differential equations of neutral type, J. Math. Anal. Appl , 18 : 182 – 189 .
   Google Scholar
• Grammatikopoulos , M. K. , Grove , E. A. and Ladas , G. Oscillations of first order neutral delay differential equations, J. Math, Anal. Appl. , to appear
   Google Scholar
• Hale , J. 1977 . Theory of Functional Differential Equations , New York : Springer-Verlag .
   Google Scholar
• Koplatadze , R. G. and Canturia , T. A. 1982 . On oscillatory and monotonic solutions of first order differential equations with retarded arguments, Differencialfnye Uravnenija , 8 : 1463 – 1465 .
   Google Scholar
• Ladas , G. 1979 . Sharp conditions for oscillations caused by delays, Appl. Analysis , 9 : 93 – 98 .
   Google Scholar
• Ladas , G. and Sfocas , Y. G. Oscillations of neutral delay differential equations, Canad. Math. Bull , to appear
   Google Scholar
• Ladas , G. and Stavroulakis , I. P. 1982 . On delay differential inequalities of first order, Funk, Eqvac , 25 : 105 – 113 .
   Google Scholar
• Ladas , G. and Stavroulakis , I. P. 1982 . Oscillations caused by several retarded and advanced arguments, J. Differential Equations , 44 : 134 – 152 .
   Web of Science ®Google Scholar
• Onose , H. 1983 . Oscillatory properties of the first-order differential inequalities with deviating arguments, Funk. Egvac , 26 : 189 – 195 .
   Google Scholar
• Slemrod , M. and Infante , E. F. 1972 . Asymptotic stability criteria for linear systems of difference-differential equations of neutral type and their discrete analogues, J. Math. Anal. Appl , 38 : 399 – 415 .
   Google Scholar
• Snow , W. 1965 . Existence, uniqueness, and stability for nonlinear differential-difference equations in tbe neutral case, N.Y.U. Courant Inst. Math. Sci. Rep. IMM-NYU , 328
   Google Scholar