Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz +9 more
wiley +1 more source
Kamenev and Philos-types oscillation criteria for fourth-order neutral differential equations
This work is concerned with the oscillatory behavior of solutions of fourth-order neutral differential equations. By using the Riccati transformation and integral averaging techniques we obtain some new Kamenev-type and Philos-type oscillation criteria ...
Omar Bazighifan
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Riccati type transformations for second-order linear difference equations, II
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Kwong, Man Kam +2 more
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Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables
In this article, we study the oscillatory behavior of solutions to even-order nonlinear neutral difference equations of the form $$ \Delta^m_\tau( x(t)-px(t-r))+f(t,x(g(t)))=0.
Shuhui Wu +2 more
doaj
We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half‐linear Euler differential equation. A perturbation is also allowed in the differential term.
Došlý, Ondřej, Funková, Hana
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Oscillation of a Class of Fractional Differential Equations with Damping Term
We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with ...
Huizeng Qin, Bin Zheng
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On Some Novel Results About the Behavior of Some Numerical Solutions of a Neutrosophic Generalized Half – Linear Second Order Differential Equation [PDF]
The generalized neutrosophic differential equation is a differential equation with neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second
Norah Mousa Alrayes +5 more
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Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences [PDF]
In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this ...
Ewa Schmeidel
doaj
On Combining with Fourier Transform and Adomian Methods to solve the Riccati Equations
In this paper, we apply the Fourier transform method with the Adomian decomposition method to solve Riccati equations . Proposed method is based on the Fourier transform and adomian decomposition methods. The solutions obtained using FADMs are compared with the numerical solutions obtained using the Rung Kutta2 and Euler method.
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On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales
We discuss oscillation criteria for second-order half-linear neutral delay dynamic equations on time scales by using the generalized Riccati transformation and the inequality technique. Under certain conditions, we establish four new oscillation criteria.
Quanxin Zhang, Xia Song
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