Book Review: Introduction to functional differential equations

Random fractional functional differential equations

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Introduction to Differential Equations

Functional Differential Equations Close to Differential Equations

when the lag function r(t) is nearly constant for large /, and has also asked for conditions on the function r under which all solutions approach zero as t—» oo. The purpose of this announcement is to initiate a study of various stability and oscillation problems for equations with perturbed lag functions, and to suggest that a modification of the familiar method of conversion to an integral eq...

Introduction to stochastic differential equations

In order to give a fully rigorous account of the modern theory of diffusion processes, one must first develop a considerable amount of rather technical machinery. The measure-theoretic foundations of the theory of diffusion processes provide a rich field of mathematical inquiry, but are arguably of minimal relevance to practitioners wishing to use these processes to build models of real-world p...

Introduction to Stochastic Differential Equations

This homework has 200 points for MATP 6960 (260 points for MATP 4960) but, as always, homeworks are graded out of 100 points. Full credit will generally be awarded for a solution only if it is both correctly and efficiently presented using the techniques covered in the lecture and readings, and if the reasoning is properly explained. If you used software or simulations in solving a problem, be ...