Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

This is a preview. Log in through your library . Abstract Given a multi-dimensional Itô process whose drift and diffusion terms are adapted processes, we construct a weak solution to a stochastic ...

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 ...

A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...