Results 71 to 80 of about 439,454 (357)
Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach
Boletim da Sociedade Paranaense de Matemática, 2022 There are many results on stability of various forms of functional equations available in the theory of functional equations. The intention of this paper is to introduce an advanced and a new multi-dimensional reciprocal-quadratic functional equation ...
Beri V. Senthil Kumar +2 more
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Stability of the Quadratic Functional Equation
, 1998 The quadratic functional equation $$ f\left( {x + y} \right) + f\left( {x - y} \right) - 2f\left( x \right) - 2f\left( y \right) = 0$$ (3.1) clearly has f(x) = cx2 as a solution with c an arbitrary constant when f is a real function of a real variable.
Themistocles M. Rassias +2 more
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Some generalization of Cauchy’s and the quadratic functional equations [PDF]
Aequationes mathematicae, 2011 We find the solutions \({f,g,h \colon S \to H}\) of each of the functional equations $$\sum\limits_{\lambda \in \Lambda} f(x+\lambda y)=|\Lambda| g(x)+h(y),\quad x,y\in S,$$ where (S, +) is an abelian semigroup, Λ is a finite subgroup of the automorphism group of S, (H, +) is an abelian group.
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, 2015 In this paper, the authors introduce and investigate the general solution and generalized Ulam-Hyers stability of a generalized n -type additive-quadratic functional equation. g(x + 2y; u + 2v) + g(x 2y; u 2v) = 4[g(x + y; u + v) + g(x y; u v)]
S. Murthy, M. Arunkumar, V. Govindan
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.Off‐centering of cations in pavonite‐structured Ag1.75InSb5.75Se11 (AISS) breaks crystal symmetry, inducing Rashba‐like band splitting and high band degeneracy, thus enhancing Seebeck coefficients. Soft bonds between off‐centered cations and Se atoms increase phonon scattering, achieving low lattice thermal conductivity (0.22 W m−1K−1 at 723 K). Doping
Chenghao Xie +7 more
wiley +1 more source
The general solution of a quadratic functional equation and Ulam stability
, 2015 In this paper, we investigate the general solution of a new quadratic functional equation. We prove that a function admits, in appropriate conditions, a unique quadratic mapping satisfying the corresponding functional equation.
Yaoyao Lan, Yonghong Shen
semanticscholar +1 more source
Scaling‐Up of Structural Superlubricity: Challenges and Opportunities
Advanced Functional Materials, EarlyView.At increasing length‐scales, structural superlubricity (SSL) faces challenges from physical and chemical energy dissipation pathways. This study reviews recent experimental and theoretical progress on these challenges facing the scaling‐up of SSL, as well as perspectives on future directions for realizing and manipulating macroscale superlubricity ...
Penghua Ying +4 more
wiley +1 more source
Advanced Functional Materials, EarlyView.EuSc₂Te₄, an antiferromagnetic semiconductor, exhibits a nonlinear Hall effect (NLHE) characterized by quadratic current–voltage behavior. Combined experimental and theoretical studies reveal that this NLHE is linked to its antiferromagnetism and involves contributions from the quantum metric.
Seng Huat Lee +15 more
wiley +1 more source
Renormalization of gauge theories without cohomology
, 2013 We investigate the renormalization of gauge theories without assuming cohomological properties. We define a renormalization algorithm that preserves the Batalin-Vilkovisky master equation at each step and automatically extends the classical action till ...
Anselmi, Damiano
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On the quadratic additive type functional equations [PDF]
International Journal of Mathematical Analysis, 2013 In this paper, we investigate the quadratic additive type functional equations.
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