Results 71 to 80 of about 451,551 (359)

On a functional equation that has the quadratic-multiplicative property

, 2020
In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation: ϕ ( s t − u v ) + ϕ ( s v + t u ) = [ ϕ ( s ) + ϕ ( u ) ] [ ϕ ( t ) + ϕ ( v ) ] \phi (st-uv)+\phi (sv+tu)={[}
Choonkill Park, K. Tamilvanan, G. Balasubramanian, B. Noori, A. Najati   +4 more
semanticscholar   +1 more source

Recycling of Thermoplastics with Machine Learning: A Review

Advanced Functional Materials, EarlyView.
This review shows how machine learning is revolutionizing mechanical, chemical, and biological pathways, overcoming traditional challenges and optimizing sorting, efficiency, and quality. It provides a detailed analysis of effective feature engineering strategies and establishes a forward‐looking research agenda for a truly circular thermoplastic ...
Rodrigo Q. Albuquerque, Florian Stephan, Annalena Pongratz, Christian Brütting, Katharina Krause, Holger Ruckdäschel   +5 more
wiley   +1 more source

Alginate‐Sludge Derived Biochar‐Calcium Hydrogel for Phosphate Removal and Slow‐Release Fertilizer: A Sustainable and Multifunctional Solution

Advanced Functional Materials, EarlyView.
An alginate‐based biochar hydrogel (ABC‐hydrogel), derived from sewage sludge, is developed for simultaneous phosphate removal and agricultural reuse. It captures phosphorus from water and gradually releases it as fertilizer, enhancing lettuce growth.
Yu Zhang, Baile Wu, Haoran Dong, Xiaohong Guan, Irene M. C. Lo   +4 more
wiley   +1 more source

Fuzzy Stability of a General Quadratic Functional Equation

Advances in Fuzzy Systems, 2011
We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧)+𝑓(𝑥−𝑦)+𝑓(𝑥−𝑧)−𝑓(𝑥−𝑦−𝑧)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)=0 in the sense of M. Mirmostafaee and M. S. Moslehian.
Sun Sook Jin, Yang-Hi Lee
doaj   +1 more source

On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit II. Analytic regularity

, 2016
We consider the time discretization based on Lie-Trotter splitting, for the nonlinear Schrodinger equation, in the semi-classical limit, with initial data under the form of WKB states.
Carles, Rémi, Gallo, Clément
core   +1 more source

Continuous‐Flow Photocatalytic Degradation of Glyphosate and Aminomethylphosphonic Acid Under Simulated Sunlight with TiO2‐Coated Poly(vinylidene fluoride) Membrane

Advanced Functional Materials, EarlyView.
Glyphosate (GLY) and its primary metabolite, aminomethylphosphonic acid (AMPA), are photodegraded using a poly(vinylidene fluoride) membrane with immobilized titanium dioxide (PVDF‐TiO2) in a continuous flow‐through operation under solar light. At optimized conditions, the PVDF‐TiO2 membrane achieved 95% GLY and 80% AMPA removal with •O2− as the ...
Phuong B. Trinh, Siqi Liu, Nurul F. Himma, Béla Fiser, Andrea I. Schäfer   +4 more
wiley   +1 more source

Linear Quadratic Stochastic Optimal Control Problems with Operator Coefficients: Open-Loop Solutions

, 2019
An optimal control problem is considered for linear stochastic differential equations with quadratic cost functional. The coefficients of the state equation and the weights in the cost functional are bounded operators on the spaces of square integrable ...
Wei, Qingmeng, Yong, Jiongmin, Yu, Zhiyong   +2 more
core   +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

SMaRT Stacking: A Methodology to Produce Optimally Layered EMI Shields with Maximal Green Index Using Fused Deposition Modeling

Advanced Functional Materials, EarlyView.
Electromagnetic interference (EMI) shields consisting of polylactic acid (PLA) in layers with different concentrations of multiwalled carbon nanotubes (MWCNT) are produced using additive manufacturing. The permittivity function of layers with different filler concentrations is learned using data of homogeneous and randomly ordered shields.
Stijn De Smedt, Brecht Evens, Pramod Ravichandran, Panagiotis Patrinos, Frederik Van Loock, Ruth Cardinaels   +5 more
wiley   +1 more source

Fuzzy Stability of an Additive-Quadratic-Quartic Functional Equation

Journal of Inequalities and Applications, 2010
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation: in fuzzy Banach spaces.
Park Choonkil
doaj   +2 more sources