Results 81 to 90 of about 60,539 (234)

New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
doaj   +1 more source

Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments

Abstract and Applied Analysis, 2012
We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments.
Juan J. Nieto, Rosana Rodríguez-López
doaj   +1 more source

A PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITIONS AND NONLOCAL SOURCES

Communications of the Korean Mathematical Society, 2012
In this work, the authors study the blow-up properties of so- lutions to a parabolic system with nonlocal boundary conditions and non- local sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained. v(x;t) = R k2(x;y)v(y;t)dy; x2 @; t >0; u(x;0) = u0(x);
Wenjie Gao, Yuzhu Han
openaire   +2 more sources

Boosting Electron‐Hole Charge Separation in CO2 Photoreduction through Fluoroporphyrin‐Linked Nickel(II)‐Acetylide Frameworks

Carbon Energy, EarlyView.
A NiII‐acetylide framework, H2TFPP‐Ni‐AF, demonstrates outstanding photocatalytic CO2 reduction performance: 13.16 mmol h−1 g−1 of CO with 97.9% selectivity. Synergistic interactions, including d‐p orbital hybridization within NiII‐bis(acetylide) moieties ( − C ≡ C−NiII(PBu3)2 − C ≡ C − ) and the efficient charge transport afforded by π‐conjugated ...
Lifen Chen, Lian Duan, Yidi Wang, Yasuteru Shigeta, Kowit Hengphasatporn, Linli Xu, Wai‐Yeung Wong   +6 more
wiley   +1 more source

On the Reaction Mechanism of Nitrate Radical and DMPO in Non‐aqueous Photocatalytic Media

Chemistry – A European Journal, EarlyView.
This work identifies 2‐oxo‐5,5‐dimethyl‐1‐pyrroline 1‐oxyl (DMPOX), formed via the selective oxidation of 5,5‐dimethyl‐1‐pyrroline N‐oxide (DMPO) by nitrate radicals (NO3•) in nonaqueous media, as a distinctive EPR fingerprint of NO3•. The DFT‐supported mechanism clarifies its formation pathway and highlights DMPOX detection as a robust tool for ...
Alessandro Gottuso, Alessia Zollo, Leonardo Palmisano, Stefano Livraghi, Francesco Parrino   +4 more
wiley   +1 more source

The Future of Foundation Machine Learning Potentials and DFT in Homogeneous Catalysis: Competition or Synergy?

Chemistry – A European Journal, EarlyView.
Machine‐learning potentials are increasingly taking on the exploratory tasks of homogeneous catalysis, enabling rapid conformer sampling and reaction‐space mapping. However, when selectivity depends on subtle electronic effects, electronic‐structure methods remain essential.
Maxime Ferrer, Julen Munarriz, Thijs Stuyver, Ruben Laplaza   +3 more
wiley   +1 more source

Well-posedness of elliptic-parabolic differential problem with integral condition

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, we study a class of nonlocal boundary value problems for elliptic-parabolic equations subject to integral-type conditions. Such problems naturally emerge in various physical and engineering contexts, including diffusion processes in ...
O. Gercek
doaj   +1 more source

Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Existence of solutions for an n-dimensional operator equation and applications to BVPs

Electronic Journal of Differential Equations, 2014
By applying the Guo-Lakshmikantham fixed point theorem on high dimensional cones, sufficient conditions are given to guarantee the existence of positive solutions of a system of equations of the form $$ x_i(t)=\sum_{k=1}^n\sum_{j=1}^n\gamma_{ij}(t ...
George L. Karakostas
doaj