On second-order non-linear oscillation
نویسندگان
چکیده
منابع مشابه
Integral Criteria for Second-Order Linear Oscillation
We present several new criteria for the oscillation of the second-order linear equation y(t) + q(t)y(t) = 0, in which the coefficient q may or may not change signs. The criteria involve the integral ∫ tq(t) dt for some γ > 0. The special case γ = 2 is then studied in greater details. AMS Subject Classification: 34C10
متن کاملOn the Oscillation of Second Order Linear Impulsive Differential Equations
For the second order linear impulsive differential equation with oscillatory coefficient ⎧⎨ ⎩ (r(t)x′(t))′ +h(t)x(t) = 0, t = tk, tk t0, k = 1,2, · · · , x(t+ k ) = akx(tk), x ′(t+ k ) = bkx ′(tk), k = 1,2, · · · , x(t+ 0 ) = x0, x ′(t+ 0 ) = x ′ 0, (E) where h can be changed sign on [t0,∞) , by using the equivalence transformation, we establish an associated impulsive differential equation wit...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولOscillation Criteria for Second-order Linear Differential Equations^)
where p(x) is a continuous positive function for 0<x< oo. Equation (1) is said to be nonoscillatory in (a, oo) if no solution of (1) vanishes more than once in this interval. Because of the Sturm separation theorem, this is equivalent to the existence of a solution which does not vanish at all in (a, oo). The equation will be called nonoscillatory—without the interval being mentioned —if there ...
متن کاملOscillation of Second Order Half-linear Differential Equations with Damping
This paper is concerned with a class of second order half-linear damped differential equations. Using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of the existing results. 2000 Mathematics Subject Classification: 34A30, 34C10.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1955
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1955.5.643