Oscillation of certain third-order difference equations
نویسندگان
چکیده
منابع مشابه
On the Oscillation of Certain Third-order Difference Equations
(ii) {g(n)} is a nondecreasing sequence, and limn→∞ g(n)=∞; (iii) f ∈ (R,R), x f (x) > 0, and f ′(x)≥ 0 for x = 0; (iv) αi, i= 1,2, are quotients of positive odd integers. The domain (L3) of L3 is defined to be the set of all sequences {x(n)}, n ≥ n0 ≥ 0 such that {Ljx(n)}, 0≤ j ≤ 3 exist for n≥ n0. A nontrivial solution {x(n)} of (1.1;δ) is called nonoscillatory if it is either eventually posi...
متن کاملOscillation Criteria for Certain Third Order Nonlinear Difference Equations
Some new criteria for the oscillation of all solutions of third order nonlinear difference equations of the form ∆ a(n)(∆ 2 x(n)) α + q(n)f (x[g(n)]) = 0 and ∆ a(n)(∆ 2 x(n)) α = q(n)f (x[g(n)]) + p(n)h(x[σ(n)]) with ∞ a −1/α (n) < ∞ are established.
متن کاملOscillation of a Certain Class of Third Order Nonlinear Difference Equations
In this paper, we are concerned with oscillation of the nonlinear di¤erence equation (cn [ (dn xn)] ) + qnf(xg(n)) = 0; n n0; where > 0 is the quotient of odd positive integers, cn, dn and qn are positive sequences of real numbers, g(n) is a sequence of nonnegative integers and f 2 C(R;R) such that uf(u) > 0 for u 6= 0:We establish some new su¢ cient conditions for oscillation by employing the ...
متن کاملThe Oscillation of Certain High Order Partial Difference Equations
In this paper, some criteria for the oscillation of the high order partial difference equations of the form T i(xm,n+axm−k1,n−l1−bxm+k2,n+l2) = c(qxm−σ1,n−τ1+pxm+σ2,n+τ2) are established, where c = ±1, i ∈ N = {1, 2, 3, . . .}.
متن کاملOscillation Criteria of Third Order Nonlinear Neutral Difference Equations
In this paper we consider the third order nonlinear neutral difference equation of the form ∆(rn(∆(xn ± pnxσ(n)))) + f (n, xτ(n)) = 0, we establish some sufficient conditions which ensure that every solution of this equation are either oscillatory or converges to zero. Examples are provided to illustrate the main results.
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: Computers & Mathematics with Applications
سال: 2001
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00162-6