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 ...

Existence theorems constitute a fundamental pillar in the study of game theory and exchange economies. These theorems rigorously establish the conditions under which equilibria or stable outcomes ...

We prove that a Willmore surface of disc type which has its boundary on a circle and which intersects the plane of the circle in a constant angle is a spherical cap or a flat disc. We prove the ...