A study of impulsive differential equations: existence of solution, stability and applications [PDF]
Neste trabalho apresentamos um estudo acerca das Equações Diferenciais Impulsivas (EDIs), que embora um assunto recente, possui interessantes resultados dentro da Análise Matemática e aplicações a fenômenos.
Santos, Lenara Ferreira dos
core
First-order impulsive ordinary differential equations with advanced arguments
Consider the boundary value problem \[ x'(t)= f(t, x(t), x(\alpha(t))\quad\text{for }[0,T]\setminus \{t_1,t_2,\dots, t_m\}, \] \[ \Delta x(t_k)= I_k(x(t_k))\quad\text{for }k= 1,\dots, m,\tag{\(*\)} \] \[ 0= g(x(0), x(T)), \] where \(f\), \(\alpha\), \(g\) and \(I_k\) \((1\leq k\leq m)\) are continuous functions, \(0\leq t\leq\alpha(t)\leq T\), \(\Delta
openaire +1 more source
Atomistic Mechanisms Triggered by Joule Heating Effects in Metallic Cu‐Bi Nanowires for Spintronics
Bi doped metallic Cu nanowires are promising for spintronics thanks to the stabilization of a giant spin Hall effect. However, heat resulting from current injection forces Bi to leave solution, forcing segregation into monoatomic decorations which evolve into coherent crystalline aggregates.
Alejandra Guedeja‐Marrón +6 more
wiley +1 more source
Positively Charged Polymer‐Brush MOFs for Large‐Area, Pressure‐Resistant Gas Separation Membranes
A universal POPA strategy enables positively charged polymer‐brush MOFs with self‐adaptive interfacial interlocking to resist aggregation under fast processing. This design ensures seamless dispersion within large‐area selective layers, achieving 1 m‐wide roll‐to‐roll fabrication of pressure‐resistant MMCMs with tunable CO2 separation performance ...
Yi Yang +11 more
wiley +1 more source
On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations [PDF]
This paper proves the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of nonlinear first-order ordinary differential equation with single constant delay and finite impulses on a compact interval.
Shah Faisal, Akbar Zada, Yongjin Li
core +1 more source
On the stability of new impulsive ordinary differential equations
In this paper, we study new impulsive ordinary differential equations and apply fixed point approach to establish existence and uniqueness theorem and derive an interesting stability result in the sense of generalized $\beta$-Ulam-Hyers-Rassias. At last, two examples are given to demonstrate the applicability of our result.
Wang, Jinrong, Lin, Zeng, Zhou, Yong
openaire +1 more source
The energetic offset between the donor and the acceptor components in organic photoactive layers is central to the tradeoff between photovoltage and photocurrent losses. This Perspective covers the most important issues surrounding this topic in non‐fullerene acceptor blends, from the difficulty of accurately determining state energies and driving ...
Dieter Neher, Manasi Pranav
wiley +1 more source
Geomagnetic Impulses and the Electrical Conductivity of the Lower Mantle [PDF]
This thesis is an investigation of the changes in the magnetic field as measured at the surface of the Earth on the time-scale of months to decades. In particular the phenomena of geomagnetic "impulses" or "jerks" are investigated.
Stewart, Douglas Norman
core
PSI-ORDINARY DICHOTOMY OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS IN A BANACH SPACE [PDF]
In the paper a dependence is established between the -ordinary dichotomy of a homogeneous impulsive differential equation in a Banach space and the existence of -bounded solution of the appropriate nonhomogeneous equation.
openaire +1 more source
Organic Materials of Tomorrow: Horizons of Artificial Intelligence
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
wiley +1 more source

