Results 81 to 90 of about 8,614,781 (356)

Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions

Advances in the Theory of Nonlinear Analysis and its Application, 2019
In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions.
A. Ardjouni, A. Djoudi
semanticscholar   +1 more source

A Nonlocal Problem with Integral Conditions for a Hyperbolic Equation

Differential Equations, 2004
One considers a Cauchy problem for the two dimensional hyperbolic equation where the solution has to verify a nonlocal integral condition, too. The stated problem cannot be reduced to a boundary value problem. Under certain conditions one proves a priori estimates and the existence and uniqueness of solutions in a Sobolev space.
openaire   +3 more sources

Design Principles for Deployable Fibers Inspired by Hagfish Defense

Advanced Science, EarlyView.
Hagfish slime deploys fibers from coiled skeins to form an ultra‐dilute, water‐trapping network. Inspired by this mechanism, design principles are established for synthetic skeins, fabricated with tightly coiled fibers that unravel under flow. These synthetic skeins demonstrate deployable fibrous networks, highlighting generalizable strategies for ...
Mohammad Tanver Hossain, Wonsik Eom, Pallab Layak, Jeongmin Kim, Carolyn Darling, Andrew Lowe, Douglas S. Fudge, Sameh H. Tawfick, Randy H. Ewoldt   +8 more
wiley   +1 more source

The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients

Karpatsʹkì Matematičnì Publìkacìï, 2018
In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_2(G)
Ya.O. Baranetskij, I.Ya. Ivasiuk, P.I. Kalenyuk, A.V. Solomko   +3 more
doaj   +1 more source

Transverse‐Electric Cherenkov Radiation for TeV‐Scale Particle Detection

Advanced Science, EarlyView.
Finite refractive indices of naturally existing materials place a fundamental ceiling on the momentum of detectable particles in traditional Cherenkov detectors. This work demonstrates transverse‐electric graphene plasmon Cherenkov radiation, breaking the momentum barrier for particle detection beyond the TeV scale with exceptional robustness and ...
Zhixiong Xie, Xiao Lin, Song Zhu, Chunyu Huang, Yu Luo, Hao Hu   +5 more
wiley   +1 more source

Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions

AIMS Mathematics
Many scholars have lately explored fractional-order boundary value issues with a variety of conditions, including classical, nonlocal, multipoint, periodic/anti-periodic, fractional-order, and integral boundary conditions.
Murugesan Manigandan , Kannan Manikandan, Hasanen A. Hammad , Manuel De la Sen   +3 more
doaj   +1 more source

Peptide Sequence Programmed Piezoelectric Response by Supramolecular Self‐Assembly

Advanced Science, EarlyView.
In this study, hydrophobic tripeptides are explored as building blocks for stable piezoelectric crystals. Tripeptides with phenylalanine at the central position self‐assembled into uniform, thermally stable crystals. Piezoresponse force microscopy reveals a high effective piezoelectric coefficient of 24.0 pC N−1, attributed to asymmetric molecular ...
Xuejiao Yang, Shuaijie Liu, Honglei Lu, Yuehui Wang, Hongyue Zhang, Wei Ji, Huaimin Wang   +6 more
wiley   +1 more source

Local‐to‐Nonlocal Second‐Harmonic Generation from Electrically Tunable Intersubband Polaritonic Metasurfaces

Advanced Science, EarlyView.
A local‐to‐nonlocal SHG process is demonstrated on an electrically tunable metasurface, combining an LSPR at the FF with a TM‐GMR at the SH to achieve independent dual tunability. Through modal‐overlap engineering of the proposed scheme, a high‐χ(2) MQW meta‐atom delivers strong nonlinearity while achieving 2‐DoF SH control with minimal trade‐offs ...
Jaesung Kim, Hyeongju Chung, Seongjin Lee, Gerhard Boehm, Mikhail A. Belkin, Jongwon Lee   +5 more
wiley   +1 more source

Numerical Analysis of the Eigenvalue Problem for One-Dimensional Differential Operator with Nonlocal Integral Conditions

Nonlinear Analysis, 2009
In this paper the eigenvalue problem for one-dimensional differential operator with nonlocal integral conditions is investigated numerically. The special cases of general problem are analyzed and hypothesis about the dependence of the spectral structure ...
S. Sajavičius, M. Sapagovas
doaj   +1 more source

Machine Learning for Accelerating Energy Materials Discovery: Bridging Quantum Accuracy with Computational Efficiency

Advanced Energy Materials, EarlyView.
This perspective highlights how machine learning accelerates sustainable energy materials discovery by integrating quantum‐accurate interatomic potentials with property prediction frameworks. The evolution from statistical methods to physics‐informed neural networks is examined, showcasing applications across batteries, catalysts, and photovoltaics ...
Kwang S. Kim
wiley   +1 more source