PL
 |
EN
Ten serwis zostanie wyłączony 2025-02-11.
Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 11

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  stabilność Hyersa-Ulama
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales
100%
Anderson D. R. , Onitsuka M.
Demonstratio Mathematica
|
2018
|
tom Vol. 51, nr 1
198--210
EN
We establish the Hyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, which include the continuous (step size zero) and the discrete (step size constant and nonzero) dynamic equations as important special cases. In particular, for certain parameter values in relation to the graininess of the time scale, we find the minimum HUS constants. A few nontrivial examples are provided. Moreover, an application to a perturbed linear dynamic equation is also included.
2
Content available remote Hyers-Ulam stability of quadratic forms in 2-normed spaces
100%
Park W.-G. , Bae J.-H.
Demonstratio Mathematica
|
2019
|
tom Vol. 52, nr 1
496--502
EN
In this paper, we obtain Hyers-Ulam stability of the functional equations f(x+y, z+w) + f(x-y, z-w) = 2f(x, z) + 2f(y, w), f(x+y, z-w) + f(x-y, z+w) = 2f(x, z) + 2f(y, w) and f(x+y, z-w) + f(x-y, z+w) = 2f(x, z) - 2f(y, w) in 2-Banach spaces. The quadratic forms ax2+bxy+cy2, ax2+by2 and axy are solutions of the above functional equations, respectively.
3
Content available remote On Hyers-Ulam stability of the Pexider equation
100%
Kominek Z.
Demonstratio Mathematica
|
2004
|
tom Vol. 37, nr 2
373--376
4
Content available remote Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
100%
Ahmad M. , Zada A. , Alzabut J.
Demonstratio Mathematica
|
2019
|
tom Vol. 52, nr 1
283--295
EN
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer-Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem. Different types of Hyers-Ulam stability are also discussed. We provide an example demonstrating consistency to the theoretical findings.
5
Approximately linear recurrences
100%
Rasouli H. , Abbaszadeh S. , Eshaghi M.
Journal of Applied Analysis
|
2018
|
tom Vol. 24, nr 1
81--85
EN
In this paper, we present a Hyers–Ulam stability result for the approximately linear recurrence in Banach spaces. An example is given to show the results in more tangible form.
6
Content available remote Hyers-Ulam stability of isometries on bounded domains-II
100%
Choi G. , Jung S.-M.
Demonstratio Mathematica
|
2023
|
tom Vol. 56, nr 1
1--12
EN
The question of whether there is a true isometry approximating the ε -isometry defined in the bounded subset of the n -dimensional Euclidean space has long been considered an interesting question. In 1982, Fickett published the first article on this topic, and in early 2000, Alestalo et al. and Väisälä improved Fickett’s result significantly. Recently, the second author of this article published a paper improving the previous results. The main purpose of this article is to significantly improve all of the aforementioned results by applying a basic and intuitive method.
7
Content available remote Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces
100%
Murali R. , Pinelas S. , Raj A. A.
Demonstratio Mathematica
|
2018
|
tom Vol. 51, nr 1
106--111
EN
In this paper, we establish the Hyers-Ulam orthogonal stability of the mixed type additive-cubic functional equation in multi-Banach spaces.
8
Content available remote Existence and stability of impulsive coupled system of fractional integrodifferential equations
84%
Zada A. , Waheed H. , Alzabut J. , Wang X.
Demonstratio Mathematica
|
2019
|
tom Vol. 52, nr 1
296--335
EN
In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and Krasnoselskii’s fixed point theorem. Hyers–Ulam stability is investigated by using classical technique of nonlinear functional analysis. Finally, we provide illustrative examples to support our obtained results.
9
Content available remote Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces
84%
EL-Fassi I. , Park C. , Kim G. H.
Demonstratio Mathematica
|
2018
|
tom Vol. 51, nr 1
295--303
EN
We have proved the Hyers-Ulam stability and the hyperstability of the quadratic functional equation f(x+y+z) +f(x+y−z) +f(x−y+z) +f(−x+y+z) = 4[f(x) +f(y) +f(z) ] in the class of functions from an abelian group G into a Banach space.
10
Content available remote Stability of an additive-quadratic-quartic functional equation
84%
Kim G. H. , Lee Y.-H.
Demonstratio Mathematica
|
2020
|
tom Vol. 53, nr 1
1--7
EN
In this paper, we investigate the stability of an additive-quadratic-quartic functional equation f(x+2y)+f(x-2y) - 2f(x+y) - 2f(-x-y) - 2f(x-y) - 2f(y-x)+4f(-x)+2f(x) - f(2y) - f(-2y)+4f(y)+4f(-y)=0 by the direct method in the sense of Găvruta.
11
Content available remote On the stability of a Cauchy type functional equation
84%
Najati A. , Lee J. R. , Park C. , Rassias T. M.
Demonstratio Mathematica
|
2018
|
tom Vol. 51, nr 1
323--331
EN
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equation [wzór] are proved.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.