Results 51 to 60 of about 4,997 (268)
Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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Advanced Photonics Research, EarlyView.This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
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Vietnam Journal of Mechanics, 2023 This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM).
Duong The Hung +3 more
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Advanced Photonics Research, EarlyView.A graphene‐based bowtie plasmonic nanotweezer is designed and optimized using particle swarm optimization and transfer matrix analysis. The structure achieves strong field confinement, delivering trapping forces up to 6 nN W−1 for 10 nm bioparticles with sixfold lower power requirements than conventional designs.
Saba Ebrahimpanah +2 more
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Advanced Science, EarlyView.A local‐to‐nonlocal SHG process is demonstrated on an electrically tunable metasurface, combining an LSPR at the FF with a TM‐GMR at the SH to achieve independent dual tunability. Through modal‐overlap engineering of the proposed scheme, a high‐χ(2) MQW meta‐atom delivers strong nonlinearity while achieving 2‐DoF SH control with minimal trade‐offs ...
Jaesung Kim +5 more
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Boundary Controllability of Differential Equations with Nonlocal Condition
Journal of Mathematical Analysis and Applications, 1999 Global exact boundary controllability in a given time-interval of a semilinear abstract dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, that it contains both a linear and a nonlinear part, and that, moreover, it satisfies the so-called nonlocal conditions.
Han, Hyo-Keun, Park, Jong-Yeoul
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Ligand‐Induced Electronic Response Enables Predictive QM/MM Simulations
Advanced Science, EarlyView.Quantum mechanics/molecular mechanics (QM/MM) simulations are powerful tools for modeling complex molecular systems; however, their predictability has been constrained by the ambiguous definition of the QM region. An electronically informed protocol is introduced that defines QM regions by quantifying guest‐induced orbital shifts and charge ...
Nichika Ozawa +2 more
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Nonlocal Integro-Differential Equations of the Second Order with Degeneration
Mathematics, 2020 We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable.
Aleksandr I. Kozhanov
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Advanced Science, EarlyView.Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel +3 more
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