Pasc Gavruta, Soon-Mo Jung, Yongjin Li
Abstract:
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 email: pgavruta@yahoo.com | |
Soon-Mo Jung Mathematics Section, College of Science and Technology Hongik University, 339-701 Jochiwon, Korea email: smjung@hongik.ac.kr | |
Yongjin Li Department of Mathematics, Sun Yat-Sen University Guangzhou 510275, China email: stslyj@mail.sysu.edu.cn |
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