Oscillation criteria for second-order nonlinear differential equations with integrable coefficient

作者：Li WT^*; Li XH

来源：Applied Mathematics Letters, 2000, 13(8): 1-6.

DOI：10.1016/S0893-9659(00)00087-2

• oscillation
• second order
• nonlinear differential equations.

In this paper, we consider the second-order nonlinear differential equation
[a(t)\y';(t)\(sigma -1)y';(t)]';+q(t)f(y(t))=r(t),
where sigma > 0 is a constant, a is an element of C(R, (0, infinity)), q is an element of C(R, R), f is an element of C(R, R), xf(x) > 0, f';(x) greater than or equal to 0 for x not equal 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.

• 出版日期2000-11
• 单位兰州大学