Hyers-Ulam Stability of Differential Equation y+2xy-2ny=0
نویسندگان
چکیده
We solve the inhomogeneous differential equation of the form y 2xy − 2ny ∞ m0 a m x m , 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.
منابع مشابه
Approximately $n$-order linear differential equations
We prove the generalized Hyers--Ulam stability of $n$-th order linear differential equation of the form $$y^{(n)}+p_{1}(x)y^{(n-1)}+ cdots+p_{n-1}(x)y^{prime}+p_{n}(x)y=f(x),$$ with condition that there exists a non--zero solution of corresponding homogeneous equation. Our main results extend and improve the corresponding results obtained by many authors.
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