Abstract. We study boundary value differential-difference equations where the difference terms may contain both advances and delays. Special attention is paid to connecting orbits, in particular to the modeling of the tails after truncation to a finite interval, and we reformulate these problems as functional differential equations over a bounded domain. Connecting orbits are computed for sever...

The mixed Dirichlet-Neumann problem for the Laplace equation in an unbounded plane domain with cuts (cracks) is studied. The Dirichlet condition is given on closed curves making up the boundary of the domain, while the Neumann condition is specified on the cuts. The existence of a classical solution is proved by potential theory and a boundary integral equation method. The integral representati...

The convergence rate of a numerical procedure based on Schwarz Alternating Method(SAM) for solving elliptic boundary value problems depends on the selection of the interface conditions applied on the interior boundaries of the overlapping subdomains. It has been observed that the Robin condition (mixed interface condition), controlled by a parameter, can optimize SAM’s convergence rate. In [7],...

mixed-addenda vanadium substituted polyoxometalate supported on anatase tio2 crushed nano leaf was synthesized by an unusual reaction with titanium tetraisopropoxide at 100 ºc via sol–gel method under oil-bath condition. the materials characterized by xrd, tem,  ir and uv–vis  techniques.  in  the  present  work,  efficient  oxidative  of  thiols  with  polyoxometalate-tio2/hydrogen  peroxide  ...

in this paper, an integration of a symbolic power series method - padé approximation technique (ps - padé), was utilized to solve a system of nonlinear differential equations arising from the similarity solution of laminar thermal boundary layer over a flat plate subjected to a convective surface boundary condition. as both boundary conditions tended to infinity, the combination of series solut...

In this article we consider the simultaneous recovery of bulk and boundary potentials in (degenerate) elliptic equations modelling conducting media with inaccessible boundaries. This connects local nonlocal Calderón type problems. We prove two main results on these problems: On one hand, derive Runge approximation results. Building these, deduce uniqueness for localized potentials. other constr...

this paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the accelerated overrelaxation (aor) method. in this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...

In this paper we investigate vector-valued parabolic initial boundary value problems (A(t, x,D),Bj(t, x,D)) subject to general boundary conditions in domains G in R with compact C-boundary. The top-order coefficients of A are assumed to be continuous. We characterize optimal L-L-regularity for the solution of such problems in terms of the data. We also prove that the normal ellipticity conditio...