The main aim of this paper is to develop some basic theories of neutral stochastic functional differential equations (NSFDEs). Firstly, we establish a local existenceuniqueness theorem under the local ...

Transactions of the American Mathematical Society, Vol. 231, No. 1 (Jul., 1977), pp. 83-92 (10 pages) Let $X$ be a Banach space and let $C = C(\lbrack -r, 0 \rbrack ...

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 ...

Heun functions, which generalise the well‐known hypergeometric functions, are solutions to the Heun differential equation – a second‐order linear differential equation with four regular singular ...