### The generalized Hyers-Ulam-Rassias stability of a quadratic functional equation.

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The asymptotic and oscillatory behavior of solutions of Volterra summation equations $${y}_{n}={p}_{n}\pm \sum _{s=0}^{n-1}K(n,s)f(s,{y}_{s}),\phantom{\rule{4pt}{0ex}}n\in \mathbb{N}$$ where $\mathbb{N}=\{0,1,2,\cdots \}$, are studied. Examples are included to illustrate the results.

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