Results 41 to 50 of about 4,701,227 (283)

dynoGP: Deep Gaussian Processes for Dynamic System Identification

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli, Marco Forgione, Dario Piga, Marco Zaffalon   +3 more
wiley   +1 more source

Hyers-Ulam stability of an additive-quadratic functional equation

Cubo, 2020
In this paper, we introduce the following $(a,b,c)$-mixed type functional equation of the form \\$g(ax_1+bx_2+cx_3 )-g(-ax_1+bx_2+cx_3 )+g(ax_1-bx_2+cx_3 )-g(ax_1+bx_2-cx_3 ) +2a^2 [g(x_1 )+g(-x_1)]+2b^2 [g(x_2 )+g(-x_2)]+2c^2 [g(x_3 )+g(-x_3)]+a[g(x_1 )-
Vediyappan Govindan, Choonkil Park, Sandra Pinelas, Themistocles M. Rassias   +3 more
doaj   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

General Solution and Stability of Additive-Quadratic Functional Equation in IRN-Space

Journal of Function Spaces, 2021
The investigation of the stabilities of various types of equations is an interesting and evolving research area in the field of mathematical analysis. Recently, there are many research papers published on this topic, especially additive, quadratic, cubic,
K. Tamilvanan, Nazek Alessa, K. Loganathan, G. Balasubramanian, Ngawang Namgyel   +4 more
doaj   +1 more source

Asymptotically Stable Solutions of a Generalized Fractional Quadratic Functional-Integral Equation of Erdélyi-Kober Type [PDF]

, 2014
We study a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type in the Banach space BC(ℝ+).
Beata Rzepka, Mohamed Abdalla Darwish
core   +1 more source

Flexural Behavior of 3D‐Printed Porous Bouligand‐Structured Polymers: Influence of Pitch Angle and Porosity

Advanced Engineering Materials, EarlyView.
This study examines how helicoidal architectures with different porosities respond to bending. Adjusting layer angle and spacing in 3D‐printed polymers reveals clear tradeoffs between stiffness, strength, and energy absorption. Experiments and simulations highlight designs that distribute stress effectively, offering pathways for optimizing lightweight
Praveenkumar Subhash Patil, Edward D. McCarthy, Parvez Alam   +2 more
wiley   +1 more source

Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation

Arab Journal of Mathematical Sciences, 2015
We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of ...
A.B. Chahbi, A. Charifi, B. Bouikhalene, S. Kabbaj   +3 more
doaj   +1 more source

Inner product spaces and quadratic functional equations

Advances in Difference Equations, 2021
In this paper, we introduce the functional equations f ( 2 x − y ) + f ( x + 2 y ) = 5 [ f ( x ) + f ( y ) ] , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + 4 f ( y ) + f ( − y ) , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + f ( 2 y ) + f ( − y ) , f ( 2 x
Jae-Hyeong Bae, Batool Noori, M. B. Moghimi, Abbas Najati   +3 more
doaj   +1 more source

Non‐Additive Criteria Assessment in Sustainability Evaluation of High Entropy Alloys: A Toxicity‐Weighted Framework

Advanced Engineering Materials, EarlyView.
Sustainability assessment requires methodologies that appropriately distinguish between additive and non‐additive material properties. A toxicity‐weighted scoring system is developed and applied that accounts for the disproportionate influence of highly toxic constituents through nonlinear weighting functions, providing more realistic estimates than ...
Seth Mehalic, Oladele A. Ogunseitan, Julie M. Schoenung   +2 more
wiley   +1 more source

Ulam Stability Of Finite Dimensional Quadratic /Functional Equation In Banach Space And Banach Algebra [PDF]

In this work, we examine the Ulam stability of finite-dimensional quadratic functional equation (briefly Fun. Equation) in Banach spaces and Banach algebra by utilizing fixed point and direct approaches.
K. Punniyamoorthy, S. Elango, S. Mohan Kumar(Corresponding Author), M. Pavithra, P. Vadivel
core   +1 more source