Results 71 to 80 of about 3,311 (299)

Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]

Opuscula Mathematica, 2015
The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
doaj   +1 more source

Engineering Strain‐Stiffening Granular Hydrogels for 3D‐Printed Tissue‐Mimicry

Advanced Materials, EarlyView.
A 3D‐printable strain‐stiffening double‐network granular hydrogel (SDGH) enables independent, region‐specific tuning of toe (EToe) and heel (EHeel) moduli through control of microgel packing and network composition. This platform replicates tissue‐like nonlinear mechanics and allows fabrication of high‐fidelity, multilayered aortic valves with ...
Hyeokju Chae, Joohwan Han, Jeong‐Wook Seo, Taehoon Lee, Kihyeon Bae, Yeontaek Lee, Dong Soo Kim, Ikjin Kim, Jin‐Oh Kim, Steve Park   +9 more
wiley   +1 more source

Genetic programming approaches for solving elliptic partial differential equations

, 2008
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A., Keane, A.J., Nair, P.B., P.B. Nair, A.J. Keane, A. Sobester   +5 more
core   +1 more source

Super‐Resolution Ultrasound Based Cell Tracking With Polymeric Nanobubbles

Advanced Materials, EarlyView.
This study presents a super‐resolution ultrasound platform for tracking cells in vivo. Biocompatible polymeric nanobubbles are used as highly echogenic intracellular labels. Following the injection of cells and microbubbles, ultrasound localization microscopy (ULM) can dynamically match the microvascular architecture and individual cell trajectories ...
Junlin Chen, Xiaoyu Wang, Jilin Fan, Bi Wang, Hanghang Fang, Yurui Wang, Hao Cui, Mohammad Roufarshbaf, Ekaterina Savina, Alexandra Valeske, Quim Peña, Yang Shi, Andreas Herrmann, Twan Lammers, Mathias Hornef, Roman Barmin, Thomas Lisson, Georg Schmitz, Anne Rix, Fabian Kiessling   +19 more
wiley   +1 more source

Dimension of the set of positive solutions to nonlinear equations and applications

Electronic Journal of Differential Equations, 2016
We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj  

Near‐Unity Chiral Lasing Enabled by Quasi‐Bound States in the Continuum

Advanced Materials, EarlyView.
Nanoimprinted chiral array that supports bound states in the continuum is doped with an efficient non‐chiral molecule (Rhodamine‐B) acting as gain medium to produce fully circularly polarized lasing emission. The chiral lasing wavelength can be tuned across the emission band of Rhodamine‐B by adjusting the coating thickness of the TiO2 high refractive ...
Jose Mendoza‐Carreño, Luis A. Pérez, Carlota Ruiz De Galarreta, Théo Rouanet, M. Isabel Alonso, Agustín Mihi   +5 more
wiley   +1 more source

CRACKING IN SHEET STRUCTURAL ELEMENT UNDER NON-UNIFORM STRESS FIELD

Structural Mechanics of Engineering Constructions and Buildings, 2017
We give a mathematical description of calculation model for cracking in sheet structural element under a non-uniform stress field. The model of pre-fracture zones in state of plastic flow under constant stresses was accepted.
Sh H HASANOV
doaj   +1 more source

Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices

, 2011
A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan, S. McKee, Yuan, Y.X., Liu, X., X. Liu, McKee, S., Yuan, J.Y., Y.X. Yuan   +7 more
core   +1 more source

Cornus Mas L. Seed‐Derived Biosorbent for Methylene Blue Removal: Surface Characterization and Biosorption Performance

Advanced Materials Interfaces, EarlyView.
Cornus mas L. seeds are transformed into a high‐performance biosorbent through chemical modification, effectively removing methylene blue from aqueous solutions. Comprehensive characterization and optimization reveal a maximum biosorption capacity of 71.71 mg g−1, establishing this sustainable, cost‐effective material as a promising solution for ...
Hakan Yıldız, Adem Necip, Arslan Yusuf Yüksel   +2 more
wiley   +1 more source

Efficient numerical methods for Volterra integral equations of Hammerstein type

, 2006
Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
core