Forced Oscillation of Second Order Linear and Half-linear Difference Equations
نویسنده
چکیده
Oscillation properties of solutions of the forced second order linear difference equation ∆(rk∆xk) + ckxk+1 = hk are investigated. The authors show that if the forcing term h does not oscillate, in some sense, too rapidly, then the oscillation of the unforced equation implies oscillation of the forced equation. Some results illustrating this statement and extensions to the more general half-linear equation ∆ (rkΦ(∆xk)) + ckΦ(xk+1) = hk, Φ(s) = |s|α−2s, α > 1, are also given.
منابع مشابه
Forced oscillation of super-half-linear impulsive differential equations
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