Results 11 to 20 of about 301 (55)

Solutions of the third order Cauchy difference equation on groups

open access: yesAdvances in Differential Equations, 2014
Let f:G→H be a function, where (G,⋅) is a group and (H,+) is an abelian group. In this paper, the following third order Cauchy difference of f:C(3)f(x1,x2,x3,x4) = f(x1x2x3x4) − f(x1x2x3) − f(x1x2x4) − f(x1x3x4) − f(x2x3x4) + f(x1x2) + f(x1x3) + f(x1x4) +
Qiao-ling Guo, Lin Li
semanticscholar   +2 more sources

On annealed elliptic Green function estimates [PDF]

open access: yes, 2014
We consider a random, uniformly elliptic coefficient field $a$ on the lattice $\mathbb{Z}^d$. The distribution $\langle \cdot \rangle$ of the coefficient field is assumed to be stationary.
Daniel Marahrens   +3 more
core   +3 more sources

An application on the second-order generalized difference equations

open access: yesAdvances in Differential Equations, 2013
In this paper, we study the solutions of the second-order generalized difference equation having the form of 1Δℓ2u(k)+f(k,u(k))=0,k∈[a,∞),a>0,ℓ∈(0,∞), where Δℓu(k)=u(k+ℓ)−u(k).
M. M. Manuel   +4 more
semanticscholar   +2 more sources

STABILITY RESULTS FOR NONLINEAR FRACTIONAL ORDER h-DIFFERENCE SYSTEMS

open access: yesDynamic systems and applications, 2018
This paper is concerned with the stability of the fractional order h-difference systems. The definition of Mittag-Leffler stability is introduced, and the sufficient conditions are presented by extending the Lyapunov direct method to such systems ...
Xianghu Liu   +3 more
semanticscholar   +1 more source

Identities and exponential bounds for transfer matrices [PDF]

open access: yes, 2012
This paper is about analytic properties of single transfer matrices originating from general block-tridiagonal or banded matrices. Such matrices occur in various applications in physics and numerical analysis.
Molinari, Luca G
core   +2 more sources

J-self-adjoint extensions for second-order linear difference equations with complex coefficients

open access: yesAdvances in Differential Equations, 2013
This paper is concerned with second-order linear difference equations with complex coefficients which are formally J-symmetric. Both J-self-adjoint subspace extensions and J-self-adjoint operator extensions of the corresponding minimal subspace are ...
Huaqing Sun, Guojing Ren
semanticscholar   +2 more sources

New numerical scheme for solving integral equations via fixed point method using distinct (ω-F)-contractions

open access: yesAlexandria Engineering Journal, 2020
In this paper, we introduce the notion of (ω-F)-contraction and presented fixed point results for such contractions. Thereafter, by using the technique of fixed point method, we propose a simple solution for a nonlinear integral equation.
Sumati Kumari Panda   +2 more
doaj   +1 more source

Renormalization method in $p$-adic $\lambda$-model on the Cayley tree [PDF]

open access: yes, 2014
In this present paper, it is proposed the renormalization techniques in the investigation of phase transition phenomena in $p$-adic statistical mechanics. We mainly study $p$-adic $\l$-model on the Cayley tree of order two.
Mukhamedov, Farrukh
core   +3 more sources

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator

open access: yesOpen Mathematics, 2017
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions.
Khaleghi Moghadam Mohsen   +1 more
doaj   +1 more source

Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent

open access: yesNonautonomous Dynamical Systems, 2020
We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa   +3 more
doaj   +1 more source

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