Laplace transform and generalized Hyers-Ulam stability of linear differential equations
By applying the Laplace transform method, we prove that the linear differential equation $$ y^{(n)}(t)+\sum_{k=0}^{n-1}{\alpha_k y^{(k)}(t)}=f(t) $$ has the generalized Hyers-Ulam stability, where $\alpha_k$ is a scalar, y and f are n times continuously differentiable and of exponential order...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/80/abstr.html |