activity
20242026
most citedThe investigation of singular integro-differential equations relating to adhesive contact problems of the theory of viscoelasticity

4 citations · 8 across the 11 of their papers we have counts for

collaborators

11 papers

cs.GT2026

N-Player Binary Games with Unidirectional Dependencies: Cycle Robustness and Induced Indifference

Jose Maria Sanchez-Saez, Nana Odishelidze, Francisco Criado-Aldeanueva

The present study provides a closed-form characterisation of Nash equilibria in N-player binary games with unidirectional dependencies. While general network games are PPAD-complet…

cs.DC2025

Structural Analysis of Multi-Core Processor and Reliability Evaluation Model

S. Tsiramua, H. Meladze, T. Davitashvili +2

In the present paper, the models of structural analysis and evaluation of efficiency indicators (reliability, fault tolerance, viability, and flexibility) of a multi core processor…

math.NA2025

The numerical solution of the Dirichlet generalized and classical harmonic problems for irregular n-sided pyramidal domains by the method of probabilistic solutions

M. Zakradze, Z. Tabagari, N. Koblishvili +4

This paper describes the application of the method of probabilistic solutions (MPS) to numerically solve the Dirichlet generalized and classical harmonic problems for irregular n s…

math-ph2025★ 1 cited

Dynamical boundary value problem for a viscoelastic half-space with cut

N. Shavlakadze, N. Odishelidze, B. Pachulia +1

The dynamical boundary value problem for viscoelastic half-space with cut in the form of a strip is considered. The problem is reduced to the singular integral equation of first ki…

math.AP2024

Exterior boundary-value Poincare problem for elliptic systems of the second order with two independent variables

F. Criado-Aldeanueva, N. Odishelidze, J. M. Sanchez +1

This paper offers a number of examples showing that in the case of two independent variables the uniform ellipticity of a linear system of differential equations with partial deriv…

math.NA2024★ 1 cited

The Numerical Solution of the External Dirichlet Generalized Harmonic Problem for a Sphere by the Method of Probabilistic Solution

Mamuli Zakradze, Zaza Tabagari, Nana Koblishvili +3

In the present paper, an algorithm for the numerical solution of the external Dirichlet generalized harmonic problem for a sphere by the method of probabilistic solution (MPS) is g…

math-ph2024★ 2 cited

The adhesive contact problem for a piecewise-homogeneous orthotropic plate with an elastic patch

Nugzar Shavlakadze, Nana Odishelidze, Francisco Criado-Aldeanueva

A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite patch of the wedgeshaped, which meets the interface at a right angle and is loaded with tangential and n…

math.AP2024

On One Generalization of the Multipoint Nonlocal Contact Problem for Elliptic Equation in Rectangular Area

Tinatin Davitashvili, Hamlet Meladze, Francisco Criado-Aldeanueva +1

A nonlocal contact problem for two-dimensional linear elliptic equations is stated and investigated. The method of separation of variables is used to find the solution of a stated…

math-ph2024★ 4 cited

The investigation of singular integro-differential equations relating to adhesive contact problems of the theory of viscoelasticity

Nugzar Shavlakadze, Nana Odishelidze, Francisco Criado-Aldeanueva

The exact and approximate solutions of singular integro-differential equations relating to the problems of interaction of an elastic thin finite or infinite non-homogeneous patch w…

math-ph2024

Exact solutions of some singular integro-differential equations related to adhesive contact problems of elasticity theory

N. Shavlakadze, N. Odishelidze, F. Criado-Aldeanueva

The problem of constructing an exact solution of singular integro-differential equations related to problems of adhesive interaction between elastic thin semi-infinite homogeneous…

math-ph2024

The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-electric plate with elastic inclusion and cut

Nugzar Shavlakadze, Nana Odishelidze, Francisco Criado-Aldeanueva

A contact problem of the theory of electroelasticity for piecewise-homogeneous plate of piezo-electric material with infinite cut and elastic finite inclusion of variable bending r…