Multidimensional Hyperbolic Equations with Nonlocal Potentials: Families of Global SolutionsIn spaces of arbitrary dimensions, hyperbolic differential–
difference equations with potentials
 On multidimensional difference operators and equationsWe study the solvability of 
multidimensional difference equations in Sobolev-Slobodetskii spaces
 Damping problem for multidimensional control system with delays functionals and the corresponding boundary value problem for differential-
difference equations. We prove
 The Cauchy Problem for Multidimensional Difference Equations in Lattice ConesWe consider a variant of the Cauchy problem for a 
multidimensional difference equation Summation of Functions and Polynomial Solutions to a Multidimensional Difference EquationGrigoriev, Andrey A., 
Leinartas, Evgeniy K., 
Lyapin, Alexander P., 
Григорьев, Андрей А., 
Лейнартас, Евгений К., 
Ляпин, Александр П. We define a set of polynomial 
difference operators which allows us to solve the summation
problem
 Quadrature-difference methods for solving linear and nonlinear singular integro-differential equations, nonlinear and 
multidimensional) of periodic singular integro-differential 
equations. © 2008 Elsevier Ltd
 Quadrature-difference methods for solving linear and nonlinear singular integro-differential equations, nonlinear and 
multidimensional) of periodic singular integro-differential 
equations. © 2008 Elsevier Ltd