Аңдатпа
Consider the first-order linear difference equationwhere denotes the forward difference operator, i.e. 𝛥𝑥(𝑛) = 𝑥(𝑛 + 1) -𝑥(𝑛), {𝑝(𝑛)} ∞ is a nonnegative sequence of reals and k is a natural number.Sharp conditions for the oscillation of all solutions to this equation are presented when the well-known oscillation conditions