Results 111 to 120 of about 3,263,731 (289)

Practical Stability of Caputo fractional differential equations by Lyapunov functions

, 2016
The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given ...
Donal 'Regan, Snezhana G. Hristova, Ravi P. Agarwal, O'Regan, Donal, Hristova, Snezhana G., Agarwal, Ravi P.   +5 more
core   +1 more source

Mechanics of Telson Ridges in Mantis Shrimp for Impact Analysis and Implications for Bioinspired Elastic Shell Designs

Advanced Functional Materials, EarlyView.
The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika, Adwait Trikanad, Wei Huang, Taige Hao, David Kisailus, Pablo D. Zavattieri   +5 more
wiley   +1 more source

A new multistage technique for approximate analytical solution of nonlinear differential equations. [PDF]

Heliyon, 2020
Akindeinde SO.
europepmc   +1 more source

Study of the solvability of a boundary value problem for the system of nonlinear differential equations of the theory of shallow shells of the Timoshenko type [PDF]

, 2016
© 2016, Pleiades Publishing, Ltd.We study the solvability of a boundary value problem for a system of nonlinear second-order partial differential equations under given boundary conditions, which describes the equilibrium of elastic shallow shells with ...
Timergaliev S., Kharasova L.
core  

Grayscale Photomasks Enable Noncontact Optical Patterning of Hydroxypropyl Cellulose Gels for Dynamic Art

Advanced Functional Materials, EarlyView.
Mask‐encoded UV exposure translates digital color information into pixel‐resolved structural‐color patterns in hydroxypropyl cellulose gels. Gaussian‐process‐guided calibration links UV processing conditions, wavelength, and mask opacity, enabling parallel fabrication of multicolor images in a single 10 s exposure.
Mengting Ye, Yunyi Zhu, Sai Sabareesh KS, Md Ashiqur Rahman Alif, Yichen Wan, Ruobing Bai, Narges Pourjafarian, Stefanie Mueller, Hongli Zhu   +8 more
wiley   +1 more source

Periodic Solution for Nonlinear System of Differential Equations Depending on The Gamma Distribution

Science Journal of University of Zakho, 2014
In this paper we study the periodic solution of nonlinear system of differential equations depending on the gamma distribution by using the numerical analytic method to investigate periodic solutions of ordinary differential equation which given by ...
Raad N. Butris
doaj  

The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations. [PDF]

Heliyon, 2020
Vazquez-Leal H, Sandoval-Hernandez MA, Filobello-Nino U, Huerta-Chua J.   +3 more
europepmc   +1 more source

Stabilization of Strongly Reduced Fe(I) Single Atom Species Coordinated in a 2D Self‐Assembled Metal–Organic Network

Advanced Functional Materials, EarlyView.
A graphene‐supported 2D metal–organic network stabilizes highly reactive Fe(I)‐N4 single sites through Co‐induced charge redistribution. Combined experiments and theory reveal Fe(I) formation, oxygen‐driven oxidation, and O2 activation mechanisms, offering a strategy to access low‐valent iron centers relevant to catalytic and biological processes ...
Alessandro Namar, Basant Roondhe, Michela De Col, Stefania Baronio, Matteo Jugovac, Mattia Scardamaglia, Eleanor Frampton, Nikolay Vinogradov, Paolo Giannozzi, Erik Vesselli   +9 more
wiley   +1 more source

Mechanistic Origins of Chemo‐Mechanical Instability and Failure in Solid‐State Lithium‐Sulfur Electrodes

Advanced Functional Materials, EarlyView.
Conversion‐induced sulfur expansion generates strong mechanical constraints and localized stresses within solid‐state Li‐S cathodes. Heterogeneous solid‐electrolyte confinement creates tensile strain‐energy hotspots that govern particle cracking. Larger sulfur particles accelerate fracture, while higher porosity relaxes constraint and delays damage ...
Arpan K. Sharma, Ahmad Ahmad, Bairav S. Vishnugopi, Partha P. Mukherjee   +3 more
wiley   +1 more source

An Analytical Study for the System of Nonlinear Fuzzy Differential Equations with a Consequent Application

Transactions on Fuzzy Sets and Systems
Realistic scenarios typically involve several interacting dependent variables, leading to nonlinearity in mathematical models. Nonlinear differential equations are a crucial mathematical phenomenon for describing real-world problems.
Payal Singh, Kamal Hossain Gazi, Mohammed Rabih, K. Rangarajan, Sankar Prasad Mondal   +4 more
doaj