Results 71 to 80 of about 3,995 (269)
Integrable viscous conservation laws
We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
core +1 more source
This study employs density functional theory (DFT) to investigate the structural, mechanical, electronic, optical, and thermodynamic properties of RbGaO2 and CsGaO2. The calculated band structures and band‐edge positions indicate semiconducting behavior and favorable alignment for photocatalytic dye degradation and hydrogen evolution, highlighting ...
Md. Zuel Rana +9 more
wiley +1 more source
We obtained a generalization of the stability of some Banach lattice-valued functional equation with the addition replaced in the Cauchy functional equation by lattice operations and their combinations.
Nutefe Kwami Agbeko, Patrícia Szokol
doaj
A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation
We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its ...
Won-Gil Park, Jae-Hyeong Bae
core
ABSTRACT Silicon anodes, with a theoretical capacity of ~3860 mAh g−1, offer more than ten times the lithium storage of graphite but suffer from large volume expansion during lithiation, leading to particle fracture, electrical disconnection, and unstable solid–electrolyte interphases (SEIs). In this study, we present a rheology‐guided materials design
Yangyul Ju +6 more
wiley +1 more source
Asymptotic Stability of the Pexider–Cauchy Functional Equation in Non-Archimedean Spaces
In this paper, we investigated the asymptotic stability behaviour of the Pexider–Cauchy functional equation in non-Archimedean spaces. We also showed that, under some conditions, if ∥f(x+y)−g(x)−h(y)∥⩽ε, then f,g and h can be approximated by additive ...
Mohammad B. Moghimi +3 more
core +1 more source
Optimization of 3D‐Printed Structured Packings—Current State and Future Developments
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke +3 more
wiley +1 more source
On Pexider Differences in Topological Vector Spaces
Let 𝑋 be a normed space and 𝑌 a sequentially complete Hausdorff topological vector space over the field ℚ of rational numbers. Let 𝐷1={(𝑥,𝑦)∈𝑋×𝑋∶‖𝑥‖+‖𝑦‖≥𝑑}, and 𝐷2={(𝑥,𝑦)∈𝑋×𝑋∶‖𝑥‖+‖𝑦‖0.
Abbas Najati +2 more
doaj +1 more source
Some generalization of Cauchy’s and the quadratic functional equations [PDF]
Suppose that \((S,+)\) is an abelian group and \(\Lambda\) is a finite subgroup of the automorphism group of \(S\), \(L=\text{card} \Lambda\). Let \((H,+)\) be an abelian group uniquely divisible by \((L+1)!\). The author finds the solutions \(f, , h:S \to H\) of the equation \[ \sum_{\lambda \in \Lambda}f(x+\lambda y)=Lg(x)+h(y)\,\,(x,y\in S). \]
openaire +3 more sources
Asymptotic properties of cross‐classified sampling designs
Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
wiley +1 more source

