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We know why we are finding stability of differential equation. but i need the answer for the question "why we are finding the stability for functional equations?" if possible explain with some sutable examples.

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 Maybe reasoning by analogy with the answer you do know might provide hints... This does not look like a good site to ask this question. – Mariano Suárez-Alvarez Feb 5 at 6:23
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 Who is "we"? And what functional equations? I think this question needs more thought or explanation from the OP? – Yemon Choi Feb 5 at 6:23
Can you give us some examples what you mean by "stability"? – Uwe Franz Feb 5 at 8:21

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