Pasc Gavruta, Soon-Mo Jung, Yongjin Li
We prove the Hyers-Ulam stability of linear differential equations of second-order with boundary conditions or with initial conditions. That is, if y is an approximate solution of the differential equation with , then there exists an exact solution of the differential equation, near y.
Submitted April 26, 2011. Published June 20, 2011.
Math Subject Classifications: 34K20, 26D10.
Key Words: Hyers-Ulam stability, differential equation.
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| Pasc Gavruta |
Department of Mathematics, University Politehnica of Timisoara
Piata Victoriei, No. 2, 300006 Timisoara, Romania
|Soon-Mo Jung |
Mathematics Section, College of Science and Technology
Hongik University, 339-701 Jochiwon, Korea
| Yongjin Li |
Department of Mathematics, Sun Yat-Sen University
Guangzhou 510275, China
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