Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability
We solve the functional equation, f(x)=pf(x−1)−qf(x−2), and prove its Hyers-Ulam stability in the class of functions f:ℝ→X, where X is a real (or complex) Banach space.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/181678 |