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 ...

In this paper, we prove a pathwise uniqueness result of a class of stochastic partial differential equations driven by space-time white noise whose coefficients satisfy non-Lipschitz conditions.

Fourier analysis provides a powerful framework for decomposing functions into sums or integrals of sinusoidal components, thereby enabling the study of frequency content in signals. In tandem, ...