Oscillatory and asymptotic behaviour of second order nonlinear difference equations
نویسندگان
چکیده
منابع مشابه
Oscillatory Behaviour of a Class of Nonlinear Second Order Mixed Difference Equations
In this paper oscillatory and asymptotic behaviour of solutions of a class of nonlinear second order neutral difference equations with positive and negative coefficients of the form (E) ∆(r(n)∆(y(n)+p(n)y(n−m)))+f(n)H1(y(n−k1))−g(n)H2(y(n−k2)) = q(n) and ∆(r(n)∆(y(n) + p(n)y(n − m))) + f(n)H1(y(n − k1))− g(n)H2(y(n − k2)) = 0 are studied under the assumptions ∞ ∑ n=0 1 r(n) < ∞ and ∞ ∑ n=0 1 r(...
متن کاملOscillatory and Asymptotic Behavior of Fourth order Quasilinear Difference Equations
where ∆ is the forward difference operator defined by ∆xn = xn+1 −xn, α and β are positive constants, {pn} and {qn} are positive real sequences defined for all n ∈ N(n0) = {n0, n0 + 1, ...}, and n0 a nonnegative integer. By a solution of equation (1), we mean a real sequence {xn} that satisfies equation (1) for all n ∈ N(n0). If any four consecutive values of {xn} are given, then a solution {xn...
متن کاملOscillatory and Asymptotic Behaviour of a Homogeneous Neutral Delay Difference Equation of Second Order
In this paper we find sufficient conditions for every solution of the neutral delay difference equation ∆(rn∆(yn − pnyn−m)) + qnG(yn−k) = 0 to oscillate or to tend to zero or ±∞ as n → ∞, where ∆ is the forward difference operator given by ∆xn = xn+1−xn, pn, qn, and rn are infinite sequences of real numbers with qn ≥ 0, rn > 0. Different ranges of {pn} are considered. This paper improves,genera...
متن کاملOscillatory and Asymptotic Behaviour of Second Order Neutral Dynamic Equations with Positive and Negative Coefficients
In this paper, oscillatory and asymptotic properties of solutions of nonlinear second order neutral dynamic equations of the form ( r(t)(y(t)+ p(t)y(α(t)))Δ )Δ +q(t)G(y(β(t)))−h(t)H(y(γ(t))) = 0 and ( r(t)(y(t)+ p(t)y(α(t)))Δ )Δ +q(t)G(y(β(t)))−h(t)H(y(γ(t))) = f (t) are studied under assumptions
متن کاملOscillatory Properties of Fourth Order Nonlinear Difference Equations with Quasidifferences
In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
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: Proceedings of the Edinburgh Mathematical Society
سال: 1996
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500023270