Oscillation of second-order half-linear difference equations
نویسندگان
چکیده
منابع مشابه
Forced Oscillation of Second Order Linear and Half-linear Difference Equations
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-lin...
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A non-trivial solution of (1) is called oscillatory if for every N > 0 there exists an n > N such that X,X n + , 6 0. If one non-trivial solution of (1) is oscillatory then, by virtue of Sturm’s separation theorem for difference equations (see, e.g., [S]), all non-trivial solutions are oscillatory, so, in studying the question of whether a solution {x,> of (1) is oscillatory, it is no restricti...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2000
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(99)00163-9