Results 1 to 10 of about 178,624 (166)
Stability of Deeba and Drygas functional equations in non-Archimedean spaces [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we use new techniques to prove Hyers-Ulam and Hyers-Ulam-Rasiass stability of Deeba, Drygas and logarithmic functional equations in non-Archimedean normed spaces.
Davood Khatibi Aghda +1 more
doaj +1 more source
Mathematics, 2023 Cauchy problems are considered for families of, generally speaking, non-Volterra functional differential equations of the second order. For each family considered, in terms of the parameters of this family, necessary and sufficient conditions for the ...
Eugene Bravyi
doaj +1 more source
Functional tetrahedron equation [PDF]
Theoretical and Mathematical Physics, 1998 LaTeX, 16 ...
Kashaev, R. M. +2 more
openaire +3 more sources
On the stability of two functional equations for (S,N)-implications
AIMS Mathematics, 2021 The iterative functional equation $ \alpha\rightarrow(\alpha\rightarrow \beta) = \alpha\rightarrow \beta $ and the law of importation $ (\alpha\wedge \beta)\rightarrow \gamma = \alpha\rightarrow (\beta\rightarrow \gamma) $ are two tautologies in ...
Sizhao Li +3 more
doaj +1 more source
The Stability of Functional Equations with a New Direct Method
Mathematics, 2022 We investigate the Hyers–Ulam stability of an equation involving a single variable of the form ∥f(x)−αf(kn(x))−βf(kn+1(x))∥⩽u(x) where f is an unknown operator from a nonempty set X into a Banach space Y, and it preserves the addition operation, besides ...
Dongwen Zhang +3 more
doaj +1 more source
Mathematics, 2022 Making use of the Boyd-Wong fixed point theorem, we establish a new existence and uniqueness result and an approximation process of the fixed point for the product of two nonlinear operators in Banach algebras. This provides an adequate tool for deriving
Khaled Ben Amara +2 more
doaj +1 more source
Nonoscillatory functional-differential equations [PDF]
Pacific Journal of Mathematics, 1984 Our aim in this paper is to obtain sufficient conditions under which certain functional differential equations have a " large" number of nonoscillatory solutions. Using the characteristic equation of a "majorant" delay differential equation with constant coefficients and Schauder's fixed point theorem, we obtain conditions under which the functional ...
Ladas, G. +2 more
openaire +4 more sources
Full Hermite Interpolation and Approximation in Topological Fields
Mathematics, 2022 By using generalized divided differences, we study the simultaneous interpolation of an m times continuously differentiable function and its derivatives up to a fixed order in a topological field K.
Leonard Dăuş +2 more
doaj +1 more source
Ulam stability of two fuzzy number-valued functional equations
AIMS Mathematics, 2020 In this paper, the Ulam stability of two fuzzy number-valued functional equations in Banach spaces is investigated by using the metric defined on a fuzzy number space.
Zhenyu Jin, Jianrong Wu
doaj +1 more source
Фізико-математична освіта, 2023 Formulation of the problem. Analysis of the issue of including the topic "The simplest functional equations" in the model curricula for studying the subject "Algebra and the beginnings of analysis" for specialized classes with in-depth study of ...
Тетяна Бохонова +6 more
doaj +1 more source