REMARKS ON ULAM STABILITY OF THE OPERATORIAL EQUATIONS

By Ioan A. Rus. 2009

183 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6433b42faa66dc49039974e5c79789e85c43a561

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Janusz Brzdek
2. E. Karapınar
3. Hamed H. Alsulami
4. Diana Otrocol
5. Inci M. Erhan
6. Krzysztof Cieplinski
7. M. Bota-Boriceanu
8. Liviu Cadariu

Citations in the corpus

• An Ulam stability result on quasi-b-metric-like spaces (2016, methodology): “We refer the reader to Bota-Boriceanu, Petrusel [21], Lazăr [22], and Rus [23],[24] for some Ulam-Hyers stability results in the case of fixed point problems.”
• Ulam-Hyers Stability for Operatorial Equations (2011, result): “Our results are connected to some recent papers of Castro-Ramos [3], Jung [9] and Rus [15], [16] (where integral and differential equations are considered), Rus [13] and Petru-PetruşelYao [11] (where the Ulam-Hyers stability of the fixed point problem are discussed).”
• Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space (2013, background): “For Ulam-Hyers stability results in the case of fixed point problems see Bota-Boriceanu, Petruşel [15], Lazăr [16], and Rus [17, 18].”
• COUPLED FIXED POINT THEOREMS AND APPLICATIONS TO PERIODIC BOUNDARY VALUE PROBLEMS (2013, background): “6) d v ;y c3"1C c4"2 For related results regarding Hyers-Ulam stability of the operatorial equations see [11].”
• ULAM-HYERS STABILITY FOR OPERATORIAL EQUATIONS AND INCLUSIONS VIA NONSELF OPERATORS (2011, methodology): “In this section we shall use the following notations and notions (see [14, 3]): I(f) := {Z ⊂ Y | f(Z) ⊂ Z, Z = ∅} - the set of all invariant subsets of f (MI)f - the maximal invariant subset of f , i.”
• Fixed Point Theory and the Ulam Stability (2014, background): “Let us recall (see [79, 80]) that f : X → X is called a weakly Picard operator if for every x ∈ X the sequence”
• 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 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].”