We consider a boundary-value problem for the third-order partial differential equation d3u
(t)/dt3+ Au (t)= ƒ (t), 0< t< 1, u (0)= ϕ, u (1)= ψ, u′(1)= ξ in a Hilbert space H with a self …

In the present paper, a second order of accuracy difference scheme for the approximate
solution of a source identification problem for hyperbolic-parabolic equations is constructed …

The nonlocal boundary-value problem for a third order partial differential equation in a
Hilbert space with a self-adjoint positive definite operator is considered. Applying operator …

In this paper, in a cylindrical domain D= Ω×(0, T) with Ω⊂ R n, we consider a mixed Cauchy
problem with a potential lateral boundary condition for the following noncharacteristic …

In this article we discuss a method for constructing trace formulae for the heat-volume
potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains …

Full article: Representation of solution of the Dirichlet problem for the Laplace equation in the
form of a generalized convolution Skip to Main Content Taylor and Francis Online homepage …

On a boundary condition of the surface heat potential - NASA/ADS Now on home page ads icon
ads Enable full ADS view NASA/ADS On a boundary condition of the surface heat potential …

This paper deals with a generalised heat potential for the degenerate (heat) diffusion
equation, which satisfies the initial condition with respect to the time variable. An interesting …

In the present study, a source identification problem for a one-dimensional hyperboic
equation is studied. Using tools operator approach we are enabled to establish stability …

It is well known that the volume potential determines the mass or the charge distributed over
the domain with density f. The volume potential is extensively used in function theory and …