Generalized Hyers‐Ulam Stability of the Second‐Order Linear Differential Equations
Copyright policy ) Abbas Javadian; Elahe Sorouri; Gwang Hui Kim; Madjid Eshaghi Gordji;
Generalized Hyers‐Ulam Stability of the Second‐Order Linear Differential Equations
We prove the generalized Hyers‐Ulam stability of the 2nd‐order linear differential equation of the form y′′ + p(x)y′ + q(x)y = f(x), with condition that there exists a nonzero y1 : I → X in C2(I) such that and I is an open interval. As a consequence of our main theorem, we prove the generalized Hyers‐Ulam stability of several important well‐known differential equations.
- Kangnam University Korea (Republic of)
- Department of Mathematics
- Semnan University Iran (Islamic Republic of)
Linear ordinary differential equations and systems, QA1-939, Mathematics, Stability theory for ordinary differential equations
Linear ordinary differential equations and systems, QA1-939, Mathematics, Stability theory for ordinary differential equations
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