Hyers-Ulam stability of some boundary-value problems
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Abstract (EN)
In this thesis, the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of some boundary-value problems are studied. Firstly, stability of nonlinear two-point boundary-value problem is proved by using a generalized fixed point theorem, and then it is showed that the problem has the Hyers-Ulam-Rassias stability by using a method called weighted space method. Secondly, stability of a nonlinear boundary-value problem with integral boundary condition is proved by using same methods. Keywords: Boundary-value problem, Fixed point theorem, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Weighted space method
Author
Merve Unutur
How to Cite
Merve Unutur (Master Thesis). Hyers-Ulam stability of some boundary-value problems, 2019, Van Yüzüncü Yıl Üniversity.
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