Results 81 to 90 of about 103,871 (266)

Non-local problems with an integral condition for third-order differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper is devoted to the study of the solvability of nonlocal problems with an integral variable $t$ condition for the equations $$u_{tt}+(\alpha\frac{\partial}{\partial t}+\beta)\Delta u=f(x,t)$$($\alpha$, $\beta$ are valid constants, $\Delta$ is ...
Alexander Ivanovich Kozhanov, Alexandra Vladimirovna Dyuzheva   +1 more
doaj   +1 more source

Critical Limitations in Cryogenic Laser Cooling of Solids: Symmetry‐Related Fluorescence Trapping and Condensation‐Induced Parasitic Heating

Advanced Science, EarlyView.
This study uncovers two overlooked bottlenecks in cryogenic laser cooling of solids: symmetry‐driven fluorescence trapping and water vapor condensation. We demonstrate that breaking sample symmetry enhances fluorescence escape, while condensation dominates parasitic heating below 135 K.
Biao Zhong, Jiayi Zhang, Haodong Yang, Lianzhong Deng, Mauro Tonelli, Ercang Luo   +5 more
wiley   +1 more source

Existence of solutions to fractional order ordinary and delay differential equations and applications

Electronic Journal of Differential Equations, 2011
In this article, we discuss the existence and uniqueness of solution to fractional order ordinary and delay differential equations. We apply our results on the single species model of Lotka Volterra type.
Syed Abbas
doaj  

Nonlinear $ \Omega $-Caputo fractional differential equations with infinite-point boundary conditions

AIMS Mathematics
This paper investigates the existence and uniqueness of solutions for a class of nonlinear $ \Omega $-Caputo fractional differential equations (CFDEs) supplemented with infinite-point boundary conditions. By constructing an appropriate operator framework
Özlem Batıt Özen, Aynur Şahin
doaj   +1 more source

A New Existence and Uniqueness Theorem for Continuous Games [PDF]

This paper derives a general sufficient condition for existence and uniqueness in continuous games using a variant of the contraction mapping theorem applied to mapping from a subset of the real line on to itself.
Seamus Hogan
core  

Graph‐Theory Approach to Element Miscibility and Alloy Design

Advanced Science, EarlyView.
Graph and network theory enables pathway toward complex multiscale interactions between different elements for alloy design or interface engineering. Utilizing element's inherent properties and preferential interactivity, favorable mixed material formation, solubility and miscibility can be predicted.
Andrew Martin, Kien Nguyen, Sebastian Zaatini, Michael Lastovich, Bharat Gwalani, Paul Bogdan, Martin M. Thuo   +6 more
wiley   +1 more source

Nonlocal Singular Problems and Applications to MEMS [PDF]

, 2013
We consider fourth order nonlinear problems which describe electrostatic actuation in MicroElectroMechanicalSystems (MEMS) both in the stationary case and in the evolution case; we prove existence, uniqueness and regularity theorems by exploiting the ...
A. Tarsia, D. Cassani, L. Fattorusso
core  

Meter‐Scale Ultra‐Large‐Area Flexible Electroluminescent Devices Enabled by Aerosol Spraying

Advanced Science, EarlyView.
This work presents a simple aerosol spraying method using modified luminescent ink to fabricate meter‐scale flexible alternating current electroluminescent (ACEL) devices. Enhanced particle dispersibility and film uniformity yield impressive brightness up to 500 cd m−2, positioning these devices as effective luminous navigation signs for industrial ...
Hao Song, Liang Yi, Lixiang Huang, Wajid Ali, Linhan Cai, Chao Wang, Jianhua Huang, Ziwei Li, Anlian Pan   +8 more
wiley   +1 more source

Existence and uniqueness theorems for solutions of McKean--Vlasov stochastic equations

, 2020
New weak and strong existence and weak and strong uniqueness results for multi-dimensional stochastic McKean--Vlasov equations are established under relaxed regularity conditions.
Mishura, Yuliya S., Veretennikov, Alexander Yu.   +1 more
core  

On the Rate of Convergence for the Pseudospectral Optimal Control of Feedback Linearizable Systems [PDF]

, 2009
In this paper, we prove a theorem on the rate of convergence for the optimal cost computed using PS methods. It is a first proved convergence rate in the literature of PS optimal control.
Kang, Wei
core   +1 more source