Approximation by First-Order Linear Differential Equations with an Initial Condition
We will consider a continuously differentiable function y:I→R satisfying the inequality pty′t-qtyt-rt≤ε for all t∈I and yt0-α≤δ for some t0∈I and some α∈R. Then we will approximate y by a solution z of the linear equation ptz′t-qtzt-r(t)=0 with z(t0)=α.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/2406158 |
| Summary: | We will consider a continuously differentiable function y:I→R satisfying the inequality pty′t-qtyt-rt≤ε for all t∈I and yt0-α≤δ for some t0∈I and some α∈R. Then we will approximate y by a solution z of the linear equation ptz′t-qtzt-r(t)=0 with z(t0)=α. |
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| ISSN: | 2314-8896 2314-8888 |