Results 71 to 80 of about 4,701,227 (283)

A refined approach to Ulam-Hyers stability in trigonometric AQ functional equations [PDF]

Mathematics and Computational Sciences
The primary objective of this paper is to formulate an extended version of a new mixed-type additive-quadratic functional equation and to analyze its Ulam-Hyers stability in three distinct cases: odd, even, and odd-even.
P Agilan, V Vallinayagam, S Annadurai, Vaddi Seshagiri Rao   +3 more
doaj   +1 more source

Stability of quadratic and orthogonally quadratic functional equations

Boletim da Sociedade Paranaense de Matemática
In this study, the authors examine the generalized Hyers-Ulam stability of the following quadraticfunctional equationg(3x + 2y+z) + g(3x + 2y − z) + g(3x − 2y + z) + g(3x − 2y − z)= 8[g(x + y) + g(x − y)] + 2[g(x + z) + g(x − z)] + 16g(x)The preceding equation is changed and its generalized Hyers-Ulam stability for the following quadratic functional ...
G. Yagachitradevi, S. Lakshminarayanan, P. Ravindiran   +2 more
openaire   +1 more source

Fiber‐Format Flexible Linear Electrostatic Motors

Advanced Materials, EarlyView.
A flexible coaxial fibre‐format electrostatic motor enables backdrivable and reversible linear actuation with high force density and functionality under bending, offering a scalable actuation platform for soft and wearable robotics. ABSTRACT Linear motion is fundamental to robotics, yet existing solutions are either rigid electromagnetic motors or ...
Sylvain Schaller, Herbert Shea
wiley   +1 more source

Stability Results of Mixed Type Quadratic-Additive Functional Equation in β-Banach Modules by Using Fixed-Point Technique

, 2022
We aim to introduce the quadratic-additive functional equation (shortly, QA-functional equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam result with a view of the aforementioned functional equation by ...
Syed Abdul Mohiuddine, Kandhasamy Tamilvanan, Rubayyi T. Alqahtani   +2 more
core   +1 more source

Plasmon‐Enhanced Second‐Harmonic Generation in Atomically Thin Crystalline Silver Nanostructures

Advanced Materials, EarlyView.
Atomically thin crystalline silver films combine vertical quantum confinement with lateral plasmonic field enhancement to boost second‐harmonic generation. Nanoribbon and nanotriangle arrays enable geometry‐tunable infrared plasmon resonances, producing strong SHG from deeply subwavelength metallic volumes compatible with silicon‐based nanophotonics ...
Saad Abdullah, Philipp K. Jenke, Andrew P. Weber, Álvaro Rodríguez Echarri, Vahagn Mkhitaryan, Fadil Iyikanat, Frederik Schiller, Philip Walther, J. Enrique Ortega, Lee A. Rozema, F. Javier García de Abajo   +10 more
wiley   +1 more source

2D Hierarchical Black Phosphorus‐Mn2O3 Heterostructured Composites for High‐Performance Flexible Supercapacitors

Advanced Materials Interfaces, EarlyView.
A sonochemical strategy constructs an ex situ 2D hierarchical black phosphorus–Mn2O3 heterostructure, enabling intimate interfacial coupling, enhanced charge transport, and improved electrochemical stability. The optimized BPM‐37.5% electrode delivers 466 F g−1 with 84% retention after 8000 cycles, while the flexible device exhibits high areal energy ...
Sowmiya Selvaraj, Anand Sreekantan Thampy   +1 more
wiley   +1 more source

Programmable Variable‐Stiffness Multilayer Elastomer Composites With High‐Aspect‐Ratio Low‐Melting‐Point Alloy Inclusions

Advanced Materials Technologies, EarlyView.
High‐aspect‐ratio low‐melting‐point alloy inclusions are embedded within multilayer silicone laminates to create thermally programmable stiffness. Sequential activation of alloy‐rich layers produces four distinct mechanical states and reconfigures tendon‐driven actuator trajectories under the same load.
Palpolage Don Shehan Hiroshan Gunawardane, Gyan Edbert Zesiro, Hao Zhou, Gursel Alici, Mu Chiao   +4 more
wiley   +1 more source

ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION

Journal of the Chungcheong Mathematical Society, 2012
In this paper, for any fixed integer $n\;>\;m\;{\geq}\;1$, we investigate the generalized Hyers-Ulam stability of the following quadratic functional equation in -Banach spaces, where $0\;
Sang-Baek Lee, Mi Hyun Han, Won-Gil Park
openaire   +1 more source

Toward Perception‐Native Electronic Skin: Bio‐Inspired In‐/Near‐Sensor and Neuromorphic Computing for Humanoid Robots

Advanced Materials Technologies, EarlyView.
Dense tactile streams from across the humanoid body converge on collide in a central wiring and data bottleneck. By relocating computation closer to and then into the skin itself, near‐ and in‐sensor architectures, together with neuromorphic computing, chart a path toward perception‐native electronic skin, in which the conversion of stimulus into ...
Mijin Kim, Chang‐Jae Beak, Jiyoung Park, Youngdo Jung, Sunjong Oh, Sin‐Hyung Lee, Bo‐Yeon Lee   +6 more
wiley   +1 more source

Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms

, 2006
This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu, Rapisarda, Paolo   +3 more
core