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 ...
Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...
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