Solution of nonlinear degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces
Solution of nonlinear parabolic equations by finite difference method for an arbitrary time interval
Solution of parabolic equations by means of Lyapunov functionals.
Solution of Partial Differential Equations by a Modified Random Walk.
Solution of porous medium type systems by linear approximation schemes.
Solution of singular and nonsingular initial and boundary value problems by modified variational iteration method.
Solution of some parabolic integro-differential equations by means of the algebraic operational calculus of distributions.
Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics
Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10.The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It provides an elegant...
Solution of Stefan problems by fully discrete linear schemes.
Solution of subsonic rotational nonviscous flow in three-dimensional axially symmetric channels [Abstract of thesis]
Solution of symmetric positive systems of differentional equations
Solution of the Dirichlet problem for the Laplace equation
For open sets with a piecewise smooth boundary it is shown that a solution of the Dirichlet problem for the Laplace equation can be expressed in the form of the sum of the single layer potential and the double layer potential with the same density, where this density is given by a concrete series.
Solution of the Dirichlet problem with l^p boundary condition
Solution of the first biharmonic problem by the method of least squares on the boundary
Solution of the first problem of plane elasticity for multiply connected regions by the method of least squares on the boundary. II
Solution of the first problem of plane elasticity for multiply connected regions by the method of least squares on the boundary. I
Solution of the Neumann problem for the Laplace equation
For fairly general open sets it is shown that we can express a solution of the Neumann problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series. If the open set is simply connected and bounded then the solution of the Dirichlet problem is the double layer potential with a density given by a similar series.
Solution of the parabolic partial differential equation ...-... = f(x, y) by means of algebraic operational calculus of distributions with support in R...
Solution of the Robin problem for the Laplace equation
For open sets with a piecewise smooth boundary it is shown that we can express a solution of the Robin problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series.
Solution operators for convolution equations on the germs of analytic functions on compact convex sets in
is compact and convex it is known for a long time that the nonzero constant coefficients linear partial differential operators (of finite or infinite order) are surjective on the space of all analytic functions on G. We consider the question whether solutions of the inhomogeneous equation can be given in terms of a continuous linear operator. For instance we characterize those sets G for which this is always the case.