Results 11 to 20 of about 252 (32)
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
On annealed elliptic Green function estimates [PDF]
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
Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
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
Renormalization method in $p$-adic $\lambda$-model on the Cayley tree [PDF]
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 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
On indefinite sums weighted by periodic sequences [PDF]
For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$.
Marichal, Jean-Luc
core +2 more sources
Dispersion Estimates for One-dimensional Discrete Schr\"odinger and Wave Equations [PDF]
We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Schr\"odinger and wave equations. In particular, we improve upon previous works and weaken the conditions on the potentials.
Egorova, Iryna +2 more
core +2 more sources
On unbounded commuting Jacobi operators and some related issues
We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
doaj +1 more source
Linear difference equations, frieze patterns, and the combinatorial Gale transform
We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in ...
SOPHIE MORIER-GENOUD +3 more
doaj +1 more source
Reconstructing Jacobi Matrices from Three Spectra
Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row. We give neccessary and sufficient conditions for the spectra of the original matrix plus the spectra of the two submatrices to uniqely determine the original matrix. Our result
B Simon +8 more
core +2 more sources

