In this paper, we discuss the fractional boundary value problem containing left and right fractional derivative operators and p-Laplacian.
The technique is illustrated with application to a simple two-dimensional boundary value problem containing a singularity in the boundary condition.
In this paper, as far as we know, the numerical solution of the singularly perturbed boundary value problem containing both control parameter and integral condition is first being considered.
In this paper, we study a coupling of spectral methods and the p -version finite element methods for elliptic boundary value problems containing singularities.
For smooth boundary-value problems containing first and second derivatives the error estimates converge to the exact error as the mesh is refined.
In fact, the solution of a second-order linear two-point boundary value problem as follows, contained in the monograph of Kevorkian and Cole [1], is a canard, ε y ″ - x y ′ + y = 0, - 1 ≤ x ≤ 1 ; 0 < ε ≪ 1, y ( - 1 ) = 1, y ( 1 ) = 2, in which, x = 0 is the turning point.
We construct an algebra of pseudo-differential boundary value problems that contains the classical Shapiro Lopatinskij elliptic problems as well as all differential elliptic problems of Dirac type with APS boundary conditions, together with their parametrices.
We introduce here a new algebra of boundary value problems that contains Shapiro Lopatinskij elliptic as well as global projection conditions; the latter ones are necessary, if an analogue of the Atiyah Bott obstruction does not vanish.
This monograph is directed to different kinds of boundary value problems and contains new researches on the existence, uniqueness, and multiplicity of solutions of different types of problems as -point, -laplacian, or higher-order equations together with functional and impulsive equations with singularities.
Boundary value problem (1.1) with (1.2) contains the following boundary value conditions: begin{aligned}& x_{0}=0, quadquad x_{k+1}=0; & x_{0}=0, quad quad Delta x_{k}=0; & Delta x_{0}=0, quadquad x_{k+1}=0; end{aligned} and Delta x_{0}=0, quadquad Delta x_{k}=0.
This paper studies the boundary value problem for a finite plate containing two dissimilar inclusions.
