On a Third‐Order System of Difference Equations with Variable Coefficients [PDF]
We show that the system of three difference equations , , and , n ∈ ℕ0, where all elements of the sequences , , , n ∈ ℕ0, i ∈ {1,2, 3}, and initial values x−j, y−j, z−j, j ∈ {0,1, 2}, are real numbers, can be solved. Explicit formulae for solutions of the system are derived, and some consequences on asymptotic behavior of solutions for the case when ...
Stević, Stevo +3 more
openaire +4 more sources
Analysis of Superconductivity in d-p Model on Basis of Perturbation Theory
We investigate the mass enhancement factor and the superconducting transition temperature in the d-p model for the high-$\Tc$ cuprates. We solve the \'Eliashberg equation using the third-order perturbation theory with respect to the on-site Coulomb ...
Husimi Y. +9 more
core +1 more source
Uni-directional models for narrow and broadband pulse propagation in second order nonlinear media [PDF]
We consider optical pulse propagation in one spatial direction and observe that for lossless media, the resulting Maxwell equations are of the form of an infinite dimensional Hamiltonian system evolving in the spatial direction.
Cahyono, E. +2 more
core +2 more sources
Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
wiley +1 more source
On the dynamical behaviors and periodicity of difference equation of order three
The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;
Elsayed Elsayed, Ibraheem Alsulami
doaj +1 more source
A Finite Difference method for the Wide-Angle `Parabolic' equation in a waveguide with downsloping bottom [PDF]
We consider the third-order wide-angle `parabolic' equation of underwater acoustics in a cylindrically symmetric fluid medium over a bottom of range-dependent bathymetry.
Antonopoulou, D. C. +2 more
core +1 more source
Third order nonlinearity of graphene: effects of phenomenological relaxation and finite temperature
We investigate the effect of phenomenological relaxation parameters on the third order optical nonlinearity of doped graphene by perturbatively solving the semiconductor Bloch equation around the Dirac points.
Cheng, J. L., Sipe, J. E., Vermeulen, N.
core +1 more source
Quantum-theoretical treatments of three-photon processes [PDF]
We perform and compare different analyses of triply degenerate four-wave mixing in the regime where three fields of the same frequency interact via a nonlinear medium with a field at three times the frequency.
Fleischhauer, M. +2 more
core +1 more source
Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas +39 more
wiley +1 more source
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

