JSTOR Daily

EXISTENCE-UNIQUENESS OF THE SOLUTION FOR NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS

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 ...
JSTOR Daily

On Restricted Uniqueness for Systems of Ordinary Differential Equations

A uniqueness theorem is proved, for not necessarily Lipschitzian systems of ordinary differential equations, y' = f. This theorem compares with one of Okamura and Murakami, in that, here, at the ...
Nature

Abel Differential Equations And Limit Cycles

Abel differential equations form a notable class of non-linear ordinary differential equations characterised by their polynomial non-linearities. These equations have been instrumental in exploring ...
Nature

A Treatise on Ordinary and Partial Differential Equations

WE have read Prof. Woolsey Johnson's work with some interest: his style is clear, and the worked-out examples well adapted to elucidate the points the writer wishes to bring out. He appears to ...
The Conversation

Millennium Prize: the Navier–Stokes existence and uniqueness problem

Jim Denier receives funding from the Australian Research Council. MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in ...