TY - JOUR
T1 - Oscillation criteria for second-order nonlinear differential equations with integrable coefficient
AU - Li, Wan Tong
AU - Li, Xiaohu
PY - 2000/11
Y1 - 2000/11
N2 - In this paper, we consider the second-order nonlinear differential equation [a(t) |y′(t)|σ-1y′(t)]′ + q(t)f(y(t)) = r(t), where σ > 0 is a constant, a ∈ C(R, (0, ∞)), q ∈ C(R, R), f ∈ C(R, R), cursive Greek chif(cursive Greek chi) > 0, f′(cursive Greek chi) ≥ 0 for cursive Greek chi ≠ 0. Some new sufficient conditions for the oscillation of all solutions of (*) are obtained. Several examples which dwell upon the importance of our results are also included.
AB - In this paper, we consider the second-order nonlinear differential equation [a(t) |y′(t)|σ-1y′(t)]′ + q(t)f(y(t)) = r(t), where σ > 0 is a constant, a ∈ C(R, (0, ∞)), q ∈ C(R, R), f ∈ C(R, R), cursive Greek chif(cursive Greek chi) > 0, f′(cursive Greek chi) ≥ 0 for cursive Greek chi ≠ 0. Some new sufficient conditions for the oscillation of all solutions of (*) are obtained. Several examples which dwell upon the importance of our results are also included.
KW - Nonlinear differential equations
KW - Oscillation
KW - Second order
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U2 - 10.1016/S0893-9659(00)00087-2
DO - 10.1016/S0893-9659(00)00087-2
M3 - Article
AN - SCOPUS:0041026843
SN - 0893-9659
VL - 13
SP - 1
EP - 6
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 8
ER -