Hyers-Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order
The aim of this paper is to prove the stability in the sense of Hyers-Ulam of differential equation of second order y′′+p(x)y′+q(x)y+r(x)=0. That is, if f is an approximate solution of the equation y′′+p(x)y′+q(x)y+r(x)=0, then there exists an exact solution of the equation near to f.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/576852 |
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| Summary: | The aim of this paper is to prove the stability in the sense of Hyers-Ulam of differential equation of second order y′′+p(x)y′+q(x)y+r(x)=0. That is, if f is an approximate solution of the equation y′′+p(x)y′+q(x)y+r(x)=0, then there exists an exact solution of the equation near to f. |
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| ISSN: | 0161-1712 1687-0425 |