Abstract The initial-value problem for a class of Volterra functional differential equations—of sufficient generality to encompass, as special cases, ordinary differential equations, retarded ...

The problem of determining all utility measures over binary gambles that are both separable and additive leads to the functional equation f(v) = f(vw) + f[vQ(w)], v, vQ(w) ∈ [0, k), w ∈ [0, 1]. The ...

Almost periodic functions serve as a powerful conceptual framework in analysing differential equations whose coefficients or forcing terms exhibit recurrent behaviour over time. Rooted in the ...

Functional integral equations constitute a broad class of problems in which an unknown function appears under an integral sign. These equations play a pivotal role in modelling complex phenomena in ...