Abstract
Some new integral conditions for the oscillation of the nonlinear nth order delay differential equation
are established.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M.K. Grammatikopoulos, Y.G. Sfacas and V.A. Staikos, Oscillatory properties of strongly superlinear differential equations with deviating arguments, J. Math. Anal. Appl., 67 (1979), 171–187.
I.V. Kamenev, Integral criterion for oscillation of linear differential equation of second order, Mat. Zametki, 23 (1978), 249–251.
I.V. Kamenev, Some specific nonlinear oscillation theorems, Matem. Zam. 10 (1971), 129–136 (Russian).
I.V. Kamenev, Oscillation criteria related to averaging of solutions of ordinary differential equations of second order, Differencial’nye Uravnenija, 10 (1974), 246–252, (Russian).
A.G. Kartsatos, Recent results on oscillation of solutions of forced and perturbed nonlinear differential equations of even order, in "Stability of Dynamical Systems Theory and Applications", Lect. Notes in Pure and Appl. Math. Vol. 28 (1977), 17–7.
W.E. Mahfoud, Characterization of oscillation of the delay equation x(n)(t) + a(t)f(x[q(t)]) = 0, J. Diff. Equs., 28 (1978), 437–451.
W.E. Mahfoud, Oscillation and asymptotic behavior of solutions of nth order nonlinear delay differential equations, J. Diff. Eqns., 24 (1977), 75–98.
V.A. Staikos, Basic results on oscillation for differential equations with deviating arguments, Hiroshima Math. J., 10 (1980), 495–516.
A. Wintner, A criterion of oscillatory stability, Quart. Appl. Math., 7 (1949), 115-
C.C. Yeh, An oscillation criterion for second order differential equations with damped term, Proc. Amer. Math. Soc., 84 (1982), 397–402.
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Grace, S.R., Lalli, B.S. (1985). Some further results on oscillatory behavior of solutions of nth order delay differential equations. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074726
Download citation
DOI: https://doi.org/10.1007/BFb0074726
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15694-9
Online ISBN: 978-3-540-39640-6
eBook Packages: Springer Book Archive