Details

Autor(en) / Beteiligte

• Grace, S.R.
• Lalli, B.S.

Titel

Integral averaging techniques for the oscillation of second order nonlinear differential equations

Ist Teil von

• Journal of mathematical analysis and applications, 1990-06, Vol.149 (1), p.277-311

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

1990

Link zum Volltext

Quelle

Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)

Beschreibungen/Notizen

• In this paper, we enlist some known and establish some new oscillation criteria for the second order nonlinear differential equations of the form if(a(t) ψ(x(t)) ẋ(t))suẋ + p(t) ẋ(t) + q(t) f(x(t)) = 0, where the coefficients p( t) and q( t) are not assumed to be nonnegative for all large values of t. These criteria are obtained by using integral averaging techniques and can be applied to some special cases where other classical oscillation results are not applicable. A systematic study is attempted to extend, improve, and correlate a number of existing results.