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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/2406158 |
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Article |
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doaj-f88686cf0b2549cdb87f8bda5b85bb992020-11-24T22:24:36ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/24061582406158Approximation by First-Order Linear Differential Equations with an Initial ConditionJaiok Roh0Soon-Mo Jung1Department of Mathematics, Hallym University, Chuncheon, Gangwon-do 24252, Republic of KoreaMathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Republic of KoreaWe 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.http://dx.doi.org/10.1155/2016/2406158 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jaiok Roh Soon-Mo Jung |
| spellingShingle |
Jaiok Roh Soon-Mo Jung Approximation by First-Order Linear Differential Equations with an Initial Condition Journal of Function Spaces |
| author_facet |
Jaiok Roh Soon-Mo Jung |
| author_sort |
Jaiok Roh |
| title |
Approximation by First-Order Linear Differential Equations with an Initial Condition |
| title_short |
Approximation by First-Order Linear Differential Equations with an Initial Condition |
| title_full |
Approximation by First-Order Linear Differential Equations with an Initial Condition |
| title_fullStr |
Approximation by First-Order Linear Differential Equations with an Initial Condition |
| title_full_unstemmed |
Approximation by First-Order Linear Differential Equations with an Initial Condition |
| title_sort |
approximation by first-order linear differential equations with an initial condition |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces |
| issn |
2314-8896 2314-8888 |
| publishDate |
2016-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2016/2406158 |
| work_keys_str_mv |
AT jaiokroh approximationbyfirstorderlineardifferentialequationswithaninitialcondition AT soonmojung approximationbyfirstorderlineardifferentialequationswithaninitialcondition |
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