Interval oscillation criteria for a second order nonlinear differential equation

다국어 초록 (Multilingual Abstract)

This paper is concerned with the interval oscillation of the second
order nonlinear ordinary differential equation
(r (t) |y＇ (t)α−1 y＇(t)＇
+
p (t) |y＇ (t)α−1 y＇(t)+q (t) f (y (t)) g (y＇(t)) = 0. By constructing a generalized
Riccati transformation and using the method of averaging techniques,
we establish some interval oscillation criteria when f(y) is not differetiable
but satisfies the condition<수식>
μ0 > 0 for y ≠ 0.

다국어 초록 (Multilingual Abstract)

This paper is concerned with the interval oscillation of the second
order nonlinear ordinary differential equation
(r (t) |y＇ (t)α−1 y＇(t)＇
+
p (t) |y＇ (t)α−1 y＇(t)+q (t) f (y (t)) g (y＇(t)) = 0. By constructing a generalized
Riccati transformation and using the method of averaging techniques,
we establish some interval oscillation criteria when f(y) is not differetiable
but satisfies the condition<수식>
μ0 > 0 for y ≠ 0.

참고문헌 (Reference)

1 W.-T. Li, "Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations" 245 : 171-188, 2000

2 W.-T. Li, "Interval oscillation criteria for second order nonlinear differential equations with damping" 7 : 461-475, 2003

3 Q. Kong, "Interval criteria for oscillation of second-order linear ordinary differential equations" 229 : 258-270, 1999

4 Q.-R. Wang, "Interval criteria for oscillation of second-order half-linear differential equations" 291 : 224-236, 2004

5 W.-T. Li, "Interval criteria for oscillation of second order half-linear orinary differential equations" 45 (45): 509-516, 2002

6 X.-P. Yan, "Interval Oscillation Criteria for Second Order Nonlinear Differential Equation" 9 : 351-364, 2004

7 G. H. Hardy, "Inequalities" Cambrige University Press 1988