Results 61 to 70 of about 11,559,130 (198)

Quantization of Polaritons Confined in Dielectric Structures

Laser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani, Dogyun Ko, Maciej Dems, Andrzej Opala, Michał Matuszewski   +4 more
wiley   +1 more source

POSITIVE SOLUTIONS OF NONLOCAL SINGULAR BOUNDARY VALUE PROBLEMS [PDF]

Glasgow Mathematical Journal, 2004
The paper presents the existence result for positive solutions of the differential equation $(g(x))''=f(t,x,(g(x))')$ satisfying the nonlocal boundary conditions $x(0)=x(T)$, $\min\{ x(t): t \in J\}=0$. Here the positive function $f$ satisfies local Carathéodory conditions on $[0,T] \times (0,\infty) \times (\R {\setminus} \{0\})$ and $f$ may be ...
AGARWAL, RAVI P., O'REGAN, DONAL, STANĚK, SVATOSLAV   +2 more
openaire   +2 more sources

Linear and nonlinear abstract differential equations of high order

Open Mathematics, 2015
The nonlocal boundary value problems for linear and nonlinear degenerate abstract differential equations of arbitrary order are studied. The equations have the variable coefficients and small parameters in principal part.
Shakhmurov Veli B.
doaj   +1 more source

Boundary-Value Problems for Differential-Difference Equations with Incommeasurable Shifts of Arguments Reducible to Nonlocal Problems

Современная математика: Фундаментальные направления, 2019
We consider boundary-value problems for differential-difference equations containing incommeasurable shifts of arguments in higher-order terms. We prove that in the case of finite orbits of boundary points generated by the set of shifts of the difference
E. P. Ivanova
doaj   +1 more source

A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a ...
A. M. Shkhagapsoev
doaj   +1 more source

From Planar to 3D Nanophotonic Lenses: Advancing Design, Fabrication, and Applications

Laser &Photonics Reviews, EarlyView.
Three‐dimensional nanophotonic lenses are enabled by an integrated workflow that links design parameterization, full‐wave electromagnetic simulation, computational optimization, and freeform fabrication. This Review summarizes how these tools expand optical design freedom beyond a single patterned plane by enriching the local meta‐atom response and ...
Wei Zhu, Lyudmila V. Goncharova, Eric Johlin   +2 more
wiley   +1 more source

A third order boundary value problem subject to nonlinear boundary conditions [PDF]

, 2002
summary:Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem.
Pietramala, Paolamaria, Infante, Gennaro, Anderson, Douglas R, Davis, John M   +3 more
core   +1 more source

Nonlocal Problem for the Time-Fractional Hyperbolic-Type Equation with the Prabhakar Fractional Derivative

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In this paper, we investigate a nonlocal boundary value problem for a time-fractional hyperbolic-type partial differential equation involving fractional derivatives of regularized Prabhakar.
Turdiev, Kh.N.
doaj   +1 more source

NOT LOCAL PROBLEM OF TYPE OF THE PROBLEM BITSADZE – SAMARSKY FOR THE EQUATION THE MIXED TYPE IN UNLIMITED AREA [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2010
In this paper the existence and uniqueness of the solution of the nonlocal boundary value problem for the mixed type equation in unbounded domain are proved.In this paper the existence and uniqueness of the solution of the non-local boundary value ...
Zunnunov R.T.
doaj   +1 more source

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source