SOME RESULT IN THE EXISTENCE, UNIQUENESS AND STABILITY SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION
The purpose of this paper is to investigate the existence, uniqueness, and stability solution to a non-linear system of integro-differential equations by using both methods Picard approximation and Banach fixed point theorem. The existence, uniqueness,
SAHLA BIBO ABDI, RAAD NOORI BUTRIS
doaj +1 more source
Solvability of $n$-point problems with parameter for system of differential equation
The $n$-point problems for non-linear systems of differential equation is investigated. Existence and uniqueness theorems are proved.
R. I. Sobkovich, A. I. Kazmerchuk
doaj +1 more source
Terahertz Volume Plasmon‐Polariton Modulation in All‐Dielectric Hyperbolic Metamaterials
THz volume plasmon‐polariton (VPP) propagation through plasmon‐based hyperbolic metamaterials, made of alternating layers of doped and undoped III‐V semiconductors. Abstract The development of plasmonics and related applications in the terahertz range faces limitations due to the intrinsic high electron density of the standard metals.
Stefano Campanaro +3 more
wiley +1 more source
Fractional-order boundary value problems with Katugampola fractional integral conditions
In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions.
Nazim I. Mahmudov, Sedef Emin
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Existence results for Langevin equation with Riesz-Caputo fractional derivative [PDF]
In this paper, we examine existence and uniqueness of solutions for nonlinear Langevin equation involving Riesz-Caputo fractional derivatives, with a class of anti-periodic boundary conditions.
Naas Adjimi, Maamar Benbachir
doaj
Reflected Backward Stochastic Difference Equations and Optimal Stopping Problems under g-expectation [PDF]
In this paper, we study reflected backward stochastic difference equations (RBSDEs for short) with finitely many states in discrete time. The general existence and uniqueness result, as well as comparison theorems for the solutions, are established under
An, Lifen, Cohen, Samuel N., Ji, Shaolin
core
Photonics of Topological Magnetic Textures
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri +6 more
wiley +1 more source
A UNIFIED EXISTENCE AND UNIQUENESS THEOREM FOR STOCHASTIC EVOLUTION EQUATIONS [PDF]
AbstractAn existence and uniqueness theorem for mild solutions of stochastic evolution equations is presented and proved. The diffusion coefficient is handled in a unified way which allows a unified theorem to be formulated for different cases, in particular, of multiplicative space–time white noise and trace-class noise.
Jentzen, A., Kloeden, P. E.
openaire +2 more sources
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
wiley +1 more source
On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients.
Bandle C. +14 more
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