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HYERS-ULAM STABILITY FOR SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS
- Authors
- Gavruta, Pasc; Jung, Soon-Mo; Li, Yongjin
- Issue Date
- Jun-2011
- Publisher
- TEXAS STATE UNIV
- Keywords
- Hyers-Ulam stability; differential equation
- Citation
- ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, v.2011, pp.1 - 5
- Journal Title
- ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume
- 2011
- Start Page
- 1
- End Page
- 5
- ISSN
- 1072-6691
- 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 y '' + beta(x) y = 0 with y(a) = y(b) = 0, then there exists an exact solution of the differential equation, near y.
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