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Laplace transform and Hyers–Ulam stability of linear differential equations

✍ Scribed by Rezaei, Hamid; Jung, Soon-Mo; Rassias, Themistocles M.

Book ID
120075067
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
377 KB
Volume
403
Category
Article
ISSN
0022-247X

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Hyers–Ulam stability of linear differential equations of second order
✍ Yongjin Li; Yan Shen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 304 KB

We prove the Hyers-Ulam stability of linear differential equations of second order. That is, if y is an approximate solution of the differential equation y + αy + βy = 0, then there exists an exact solution of the differential equation near to y.