A general solution of the functional equation $\int_{0}^{\infty }f(x+y)d\mu (y)$ = f(x) where f is a nonnegative function and μ is a σ-finite positive Borel measure on [0, ∞) is shown to be f(x) = p(x ...

The Cauchy problem for the Helmholtz equation has emerged as an important yet challenging subject in applied mathematics and engineering. This problem involves deducing interior solutions from ...

This is a preview. Log in through your library . Abstract The Cauchy problem for a nonlinear functional differential equation is considered. A theorem on the existence of classical solutions defined ...