ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS

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Ulam stabilities of ordinary differential equations in a Banach space (2010, background): “Following [18] and [19] (see also [11], [15]) we shall present four types of Ulam stability for an ordinary differential equation in a Banach space u′(t) = A(u(t)) + f(t, u(t)), t ∈ I ⊂ R where (i) I = [a, b] or [a,+∞[; (ii) (B, | · |) is a Banach space; (iii) A : B → B is the infinitesimal generato”
Ulam-Hyers Stability for Operatorial Equations (2011, result): “Theorem 2.3 (Rus [13]).”
Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations (2014, methodology): “Motivated by [10,11,18,21], we will investigate existence, uniqueness and Ulam–Hyers– Mittag-Leffler stability of the following fractional-order differential equation with modification of the argument c D t x(t) = f (t, x(t), x(g(t))), t ∈ I ⊂ R, α ∈ (0, 1).”
Ulam stability for a delay differential equation (2013, methodology): “Preliminaries We begin our considerations with some notions and results on Ulam stability, see [13, 14], for the case I = [a, b].”
REMARKS ON ULAM STABILITY OF THE OPERATORIAL EQUATIONS (2009, background): “There are some results for differential equations ([1], [16], [18], [19], [20], [31],.”