Turkish Journal of Mathematics
Abstract
In this paper, a solution is given for the following initial boundary value problem: \Delta=u_{tt}+k/t+u_t+g(x, t) (t>0) u(0, t)=u(a, t)=0 u(x, 0)=f(x), u_t(x, 0)=0 where x, a \epsilon R^n, t is the time variable, k < 1, k ? -1, -2, -3, . . . is a real parameter, \Delta is the n dimensional Laplace operator, f and g real analytic functions. The equation in this problem is known as the nonhomogeneous Euler-Poisson-Darboux (E.P.D.) Equation. The solution is obtained using finite integral transformation technique and is the sum of two uniformly and absolutely convergent power series.
DOI
-
Keywords
Hyperbolic equations, initial boundary value problems
First Page
317
Last Page
324
Recommended Citation
DERNEK, N (1997). On The Solution of the E.P.D. Equation Using Finite Integral Transformations. Turkish Journal of Mathematics 21 (3): 317-324. https://doi.org/-
