ABSTRACT: In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Abstract: Recently, Mao (1995) initiated the study of exponential stability of neutral stochastic functional differential equations (NSFDEs) and employed the Razumikhin techniques to investigated the ...

Abstract: This paper proposes a systematic and general approach to model power systems as continuous stochastic differential-algebraic equations. With this aim, the paper provides a theoretical ...

Act directly on irregularly-sampled partially-observed multivariate time series. May be trained with memory-efficient adjoint backpropagation - even across observations. Demonstrate state-of-the-art ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

UB Mathematics students can now download the pdf textbook for MTH 306, using the link on GitHub. Physical copies of the new edition are available from Amazon.