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Second Order Elliptic Systems of Differential Equations [PDF]

Proceedings of the National Academy of Sciences, 1953
openaire   +6 more sources

Bifurcation and chaotic behaviors in nonlinear fractional electrical transmission line: Solitons, 3D frameworks, and algorithmic advances

AIP Advances
This paper presents some innovations in studying the nonlinear fractional electrical transmission line equation (NFETLE). First, the unified F-expansion method is applied for the first time to derive exact solutions of NFETLE, uncovering double-periodic ...
Hongwei Ma, Ziming Liu, Yiqun Sun, Jianming Qi   +3 more
doaj   +1 more source

Experimental Validation of a Novel Dual-Slot SIW Bandpass Filter for 5G Ka-Band Applications

ITEGAM-JETIA
This study details the design, optimization, and experimental validation of an innovative dual slot Substrate Integrated Waveguide (SIW) bandpass filter intended for 5G Ka-band applications.
Fatiha Louakhche, Ahcene Abed, Redha Bendoumia, Ahmed Bouchekhlal   +3 more
doaj   +1 more source

On the numerical solution of a parabolic Fredholm integro-differential equation by the RBF method

Results in Applied Mathematics
This paper presents the numerical solution of an initial boundary value problem for a parabolic Fredholm integro-differential equation (FIDE) in bounded 2D and 3D spatial domains.
Ihor Borachok, Roman Chapko, Oksana Palianytsia   +2 more
doaj   +1 more source

A semilinear second order elliptic system

, 1990
Summary: We consider an equation of the form \[ \begin{cases} Lu+\beta(u)\ni f(x,u) & \text{ in } \Omega; \\ u=0 & \text{ on } \partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb{R}^ n(n\geq 1)\) is an open set with smooth boundary \(\partial\Omega\), \(L=\text{diag}(L_ 1,\dots,L_ N)\) \((N\geq 1)\) is a diagonal matrix of second order elliptic
openaire   +2 more sources

Investigating nonflow contribution on elliptic flow in p-Pb collisions with the AMPT model

Frontiers in Physics
This study investigates the subtraction of nonflow contributions in heavy-ion collisions using the multiphase transport (AMPT) model, focusing on unidentified charged trigger particles and various species of charged associated particles, including pions,
Ning Yu, Ning Yu, Ning Yu, Zuman Zhang, Zuman Zhang, Zuman Zhang, Meimei Zhang, Meimei Zhang   +7 more
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Strong unique continuation property for some second order elliptic systems

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2007
We study the unique continuation property of some second order elliptic systems.
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On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations [PDF]

Substructuring methods are in common use in mechanics problems where typically the associated linear systems of algebraic equations are positive definite.
Gunzburger, M. D., Nicolaides, R. A.
core   +1 more source

On Corresponding Cauchy–Riemann Equations Applied to Laplace-Type Operators over Generalized Quaternions, with an Application

Axioms
In this paper, we develop a concise differential–potential framework for the functions of a generalized quaternionic variable in the two-parameter algebra Hα,β, with α,β∈R∖{0}.
Ji Eun Kim
doaj   +1 more source

Examining the behavior of a two-connected-spring pendulum according to non-resonance and resonance conditions

Journal of Low Frequency Noise, Vibration and Active Control
This paper focuses on the planar forced oscillations of a particle linked to its support point through a system comprising two nonlinear springs arranged in series with two viscous dampers.
TS Amer, Mohammed A Elhagary, Seham S Hassan, Abdallah A Galal   +3 more
doaj   +1 more source