Oscillation criteria of certain nonlinear partial difference equations
نویسندگان
چکیده
منابع مشابه
Oscillation 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 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 for certain fourth order nonlinear functional differential equations
Some new criteria for the oscillation of the fourth order functional differential equation d dt ( 1 a3(t) ( d dt 1 a2(t) ( d dt 1 a1(t) ( d dt x(t) )α1)α2)α3) + δq(t) f (x[g(t)]) = 0, where δ = ±1 are established. c © 2006 Elsevier Ltd. All rights reserved.
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 کاملOscillation Criteria for First-order Forced Nonlinear Difference Equations
where (i) {p(n)}, {e(n)} are sequences of real numbers; (ii) {qi(n)}, i= 1,2, are sequences of positive real numbers; (iii) λ, μ are ratios of positive odd integers with 0 < μ < 1 and λ > 1. By a solution of equation (1, i), i= 1,2,3, we mean a nontrivial sequence {x(n)}which is defined for n ≥ n0 ∈ N = {0,1,2, . . .} and satisfies equation (1, i), i = 1,2,3, and n = 1,2, . . . . A solution {x(...
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: 1999
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00290-4