Hyers-Ulam stability of linear differential equations of first order

By S. Jung. Applied Mathematics Letters, 2004

302 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/128394b56820893e91cf55256fd0499728eddae4

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In Algebra and Number Theory

In Applied Mathematics

Citations in the corpus

Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order (2015, background): “Jung [17, 18] investigated in 1988, the Hyers-Ulam stability of more general mapping on restricted domains.”
Ulam‐Hyers stability of Caputo fractional difference equations (2019, background): “25 and f is Lipschitz continuous for t ∈ [1, 5] ∩ N1.”
A fixed point approach to the stability of differential equations . (2010, background): “Recently, Miura, Miyajima and Takahasi also proved the Hyers-Ulam stability of linear differential equations of first order, y′(x) + g(x)y(x) = 0, where g(x) is a continuous function, while the author proved the Hyers-Ulam stability of linear differential equations of other type (see [7, 8, 9, 12, 1”
Some Existence and Stability Results for Hilfer-fractional Implicit Differential Equations with Nonlocal Conditions (2018, unknown): “Since 1940, Ulam-type stability problems [5,18,20,22] have been studied by a large number of mathematicians.”
Hyers-Ulam stability of linear differential equations of first order, III (2005, background): “Recently, the author [10] proved the Hyers–Ulam stability of differential equation the forma(t)y′(t) = y(t) as follows: assume that either a(t) > 0 for all t ∈ I or a(t) < 0 for all t ∈ I , whereI ⊂ R is an open interval.”
Hyers–Ulam stability of a system of first order linear differential equations with constant coefficients☆ (2006, unknown): “In this proof, we use the notations eAt , 〈eJμν t 〉 and eJμν t and refer to (6), (7) and (8) for their details.”
Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative (2017, result): “[7, 12, 14, 15, 16, 33] and books [11, 25, 26, 27] on this subject have been published in order to generalize the results of Hyers in many directions.”
Hyers–Ulam stability of delay differential equations of first order (2016, background): “[3], [9], [20], [34], [36]–[38], many mathematicians paid attention to the problem of differential equations, for the papers concerning ordinary differential equations we refer the readers to [10], [15], [21], [23]–[25], [28], [30], [32], [41].”