Results 41 to 50 of about 7,271,767 (336)

The Existence of Solutions to Nonlinear Matrix Equations via Fixed Points of Multivalued F-Contractions

open access: yesMathematics, 2020
In this paper, we set up an adequate condition for the presence of a solution of the nonlinear matrix equation. To do so, we prove the existence of fixed points for multi-valued modified F-contractions in the context of complete metric spaces, which ...
Nawab Hussain   +3 more
doaj   +1 more source

A new extended matrix KP hierarchy and its solutions

open access: yes, 2010
With the square eigenfunctions symmetry constraint, we introduce a new extended matrix KP hierarchy and its Lax representation from the matrix KP hierarchy by adding a new $\tau_B$ flow.
A. I. Zenchuk   +20 more
core   +1 more source

A Robust Hermitian and Skew-Hermitian Based Multiplicative Splitting Iterative Method for the Continuous Sylvester Equation

open access: yesMathematics
For solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak   +1 more
doaj   +1 more source

Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]

open access: yesFacta Universitatis. Series: Architecture and Civil Engineering, 2008
Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order.
Prolović Verka, Bonić Zoran
doaj   +1 more source

A relation theoretic m-metric fixed point algorithm and related applications

open access: yesAIMS Mathematics, 2023
In this article, we introduce the concept of generalized rational type $ F $ -contractions on relation theoretic m-metric spaces (denoted as $ F_{R}^{m} $-contractions, where $ R $ is a binary relation) and some related fixed point theorems are provided.
Muhammad Tariq   +5 more
doaj   +1 more source

Exact solutions to the modified Korteweg-de Vries equation

open access: yes, 2010
A formula for certain exact solutions to the modified Korteweg-de Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenko integral equation is written with the help of matrix exponentials as ...
Demontis, Francesco
core   +1 more source

Matrix-equation-based strategies for convection–diffusion equations [PDF]

open access: yes, 2015
We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection–diffusion partial differential equations with separable coefficients, dominant convection and rectangular or parallelepipedal domain.
Davide Palitta, V. Simoncini
semanticscholar   +1 more source

Matrix Inequality for the Laplace Equation

open access: yes, 2017
Since Li and Yau obtained the gradient estimate for the heat equation, related estimates have been extensively studied. With additional curvature assumptions, matrix estimates that generalize such estimates have been discovered for various time-dependent
Park, Jiewon
core   +1 more source

An MSSS-preconditioned matrix equation approach for the time-harmonic elastic wave equation at multiple frequencies

open access: yesComputational Geosciences, 2018
In this work, we present a new numerical framework for the efficient solution of the time-harmonic elastic wave equation at multiple frequencies. We show that multiple frequencies (and multiple right-hand sides) can be incorporated when the discretized ...
M. Baumann   +5 more
semanticscholar   +1 more source

Photosynthesis under far‐red light—evolutionary adaptations and bioengineering of light‐harvesting complexes

open access: yesFEBS Letters, EarlyView.
Phototrophs evolved light‐harvesting systems adapted for efficient photon capture in habitats enriched in far‐red radiation. A subset of eukaryotic pigment‐binding proteins can absorb far‐red photons via low‐energy chlorophyll states known as red forms.
Antonello Amelii   +8 more
wiley   +1 more source

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