Hyers-Ulam stability of linear differential equations of first order, III
By Soon-Mo Jung. 2005
200 citations recorded by the source corpus.
Abstract Let X be a complex Banach space and let I = ( a , b ) be an open interval. In this paper, we will prove the generalized Hyers–Ulam stability of the differential equation t y ′ ( t ) + α y ( t ) + β t r x 0 = 0 for the class of continuously differentiable functions f : I → X , where α, β and r are complex constants and x 0 is an element of X. By applying this result, we also prove the Hyers–Ulam stability of the Euler differential equation of second order.
Subfields: Algebra and Number Theory, Applied Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/efec8d511f2b67dfa4cbb20ec14da1e82d4e7510
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In Algebra and Number Theory
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Citations in the corpus
- On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations (2016, unknown): “To study Hyers-Ulam stability of differential equations, different researchers presented their works with different approaches; for example, see [10–25].”
- ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS (2009, background): “For other results see [1], [11], [12], [14] and [15].”