Results 21 to 30 of about 41 (41)

Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth

Advanced Nonlinear Studies, 2020
In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
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Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces

Demonstratio Mathematica, 2019
In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional ...
Liu Yachai, Yang Xiuzhong, Liu Guofen
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Hyers-Ulam stability of quadratic forms in 2-normed spaces

Demonstratio Mathematica, 2019
In this paper, we obtain Hyers-Ulam stability of the functional ...
Park Won-Gil, Bae Jae-Hyeong
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An Alternative Equation for Generalized Polynomials of Degree Two

Annales Mathematicae Silesianae
In this paper we consider a generalized polynomial f: ℝ → ℝ of degree two that satisfies the additional equation f(x)f(y) = 0 for the pairs (x, y) ∈ D, where D ⊆ ℝ2 is given by some algebraic condition.
Boros Zoltán, Menzer Rayene
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Approximate *-derivations and approximate quadratic *-derivations on C*-algebras

Journal of Inequalities and Applications, 2011
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
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On the stability of pexider functional equation in non-archimedean spaces

Journal of Inequalities and Applications, 2011
In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.
Vaezpour Seiyed, Saadati Reza, Sadeghi Zahra   +2 more
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The stability of high ring homomorphisms and derivations on fuzzy Banach algebras

Open Mathematics
In this article, we focus on exploring the fuzzy version of the Hyers-Ulam-Rassias stability of nn-ring homomorphisms and nn-ring derivations in the context of fuzzy Banach algebras. Our investigation utilizes the direct method.
Chen Lin, Luo Xiaolin
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Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz

Demonstratio Mathematica, 2019
Let (X, ⊥) be an orthogonality module in the sense of Rätz over a unital Banach algebra A and Y be a real Banach module over A. In this paper, we apply the alternative fixed point theorem for proving the Hyers-Ulam stability of the orthogonally ...
Aiemsomboon Laddawan, Sintunavarat Wutiphol   +1 more
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Poisson C*-algebra derivations in Poisson C*-algebras

Demonstratio Mathematica
In this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
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Combined system of additive functional equations in Banach algebras

Open Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
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