Hyers-Ulam Stability of Differential Equation y′′+2xy′−2ny=0
We solve the inhomogeneous differential equation of the form y′′+2xy′−2ny=∑m=0∞amxm, where n is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equation y′&#...
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2010-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2010/793197 |
Summary: | We solve the inhomogeneous differential equation of the form y′′+2xy′−2ny=∑m=0∞amxm, where n is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equation y′′+2xy′−2ny=0 in a special class of analytic functions. |
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ISSN: | 1025-5834 1029-242X |