Results 91 to 100 of about 1,424 (201)
Fuzzy Stability of Jensen-Type Quadratic Functional Equations
Abstract and Applied Analysis, 2009 We prove the generalized Hyers-Ulam stability of the following quadratic functional equations 2𝑓((𝑥+𝑦)/2)+2𝑓((𝑥−𝑦)/2)=𝑓(𝑥)+𝑓(𝑦) and 𝑓(𝑎𝑥+𝑎𝑦)+(𝑎𝑥−𝑎𝑦)=2𝑎2𝑓(𝑥)+2𝑎2𝑓(𝑦) in fuzzy Banach spaces for a nonzero real number 𝑎 with 𝑎≠±1/2.
Sun-Young Jang +3 more
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The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9929-9947, June 2026.ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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Some new fixed point theorems of α-partially nonexpansive mappings
Demonstratio MathematicaIn this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
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On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
Approximate additive mappings in 2-Banach spaces and related topics
Journal of Mathematical Analysis and Applications, 2011 Let \(\mathcal{X}\) be a linear space over \(\mathbb{R}\) with dimension greater than \(1\) and let \(\| .,.\|:\mathcal{X}\times\mathcal{X}\to \mathbb R\) be a function with the following properties: {\parindent6.5mm \begin{itemize}\item[(a)] \(\| x,y\|=0\) if and only if \(x\) and \(y\) are linearly dependent; \item[(b)] \(\| x,y\|=\| y,x\|\); \item ...
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On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
wiley +1 more source
Analysis of a Viscoplastic Burgers Equation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
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Journal of Inequalities and ApplicationsIn this work, we study the split equality variational inclusion and fixed point problems involving Bregman weakly relatively nonexpansive mappings in p-uniformly convex and uniformly smooth real Banach spaces.
Matlhatsi Ngwepe +2 more
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Stability of a Quartic and Additive Functional Equation in a 2-Banach Space
International Journal of Mathematics and Soft Computing, 2014 In this paper, we investigate the generalized Hyers-Ulam stability of the functional equation f(2x+y)+f(2x-y) = 4(f(x+y)+f(x-y))-3/7 (f(2y)-2f(y))+2f(2x)-8f(x) in 2-Banach space.
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