Results 51 to 60 of about 2,617 (263)

On singular solutions of a multidimensional differential equation of Clairaut-type with power and exponential functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In the theory of ordinary differential equations, the Clairaut equation is well known. This equation is a non-linear differential equation unresolved with respect to the derivative.
Liliya Leonidovna Ryskina
doaj   +1 more source

Mechanically Mutable Matrices: A Hierarchical Investigation of Decellularized Sea Cucumber Collagen as an Adaptable Scaffold Material

Advanced Functional Materials, EarlyView.
Sea cucumber mutable collagenous tissue (MCT) is a remarkable collagen‐based material which can rapidly undergo large changes in stiffness through transiently bound effector proteins. Here, we investigate the hierarchical structure and mechanical response of MCT from Cucumaria frondosa across length scales with a wide range of methods, also exploring ...
Nathalie R. H. Singh, Amy K. Lin, Sabra Rostami, Cameron Hastie, Paul W. Wiseman, Patrick Flammang, Christopher Moraes, Matthew J. Harrington   +7 more
wiley   +1 more source

On the approximate solution of nonlinear singular integral equations with positive index

International Journal of Mathematics and Mathematical Sciences, 1996
This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method.
S. M. Amer
doaj   +1 more source

High-Order Multivariate Spectral Algorithms for High-Dimensional Nonlinear Weakly Singular Integral Equations with Delay

Mathematics, 2022
One of the open problems in the numerical analysis of solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is how to preserve the high-order accuracy for nonsmooth solutions.
Ahmed Z. Amin, Mahmoud A. Zaky, Ahmed S. Hendy, Ishak Hashim, Ahmed Aldraiweesh   +4 more
doaj   +1 more source

Polarization Sensitivity of Chiral Manganese Halide Scintillators Enables High‐Resolution X‐Ray Imaging

Advanced Functional Materials, EarlyView.
Highly luminescent chiral manganese halide crystals are synthesized using chiral ligands, and they exhibit dissymmetry factors up to 1.4 × 10−2 and show X‐ray detection scintillation capability with a light yield of 43 380 photons/MeV and a low detection limit of 0.05198 µGyair·s−1.
Yue Han, Jun'an Lai, Peng He, Wenxia Zhang, Xirong Ke, Shengsi Liu, Kang An, Xiao‐Fang Jiang, Lakshminarayana Polavarapu, Xiaosheng Tang   +9 more
wiley   +1 more source

Quasilinearization-Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
doaj   +1 more source

Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions

Advances in Difference Equations, 2019
We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs.
A. M. A. El-Sayed, F. M. Gaafar
doaj   +1 more source

A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function

Advances in Mathematical Physics, 2023
In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi, Y. Mahmoudi, A. Salimi Shamloo, M. Jahangiri Rad   +3 more
doaj   +1 more source

3D Bioprinted Breast Cancer‐Stroma Model with Tailored Migration‐Permissive Bioink Reveals Impact of Adipose‐Derived Stromal Cells on Cancer Cell Migration and Invasion Dynamics

Advanced Healthcare Materials, EarlyView.
A migration‐permissive bioink composed of methacrylated collagen type I and thiolated hyaluronic acid enables 3D bioprinting of breast cancer‐stroma models. Single‐cell tracking reveals that adipose stromal cells enhance tumor cell motility and stromal invasion, accompanied by collagen remodeling, and a shift in tumor cell morphology.
Sabrina Stecher, Joachim Schenk, Alessandro Cianciosi, Katherina Hemmen, David Böhringer, Franziska Dusi, Jessica Faber, Philipp Stahlhut, Benedikt Gantert, Emilie Rouenhoff, Annika Gmöhling, Tessa Lühmann, Jörg Teßmar, Jürgen Groll, Silvia Budday, Tomasz Jüngst, Ben Fabry, Katrin G. Heinze, Petra Bauer‐Kreisel, Torsten Blunk   +19 more
wiley   +1 more source

Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions

Journal of Function Spaces, 2018
This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source