Dmitri Goloubentsev, Evgeny Lakshtanov and Vladimir Piterbarg explain in mathematical terms, and demonstrate using a simple example, how the automatic implicit function theorem, a special version of ...

ABSTRACT: In this paper, the dynamical behaviors of a modified Leslie-Gower predator-prey model incorporating fear effect and prey refuge are investigated. We delve into the construction of the model ...

Control Problem,Optimal Control Problem,Equation Of State,Finite Element,Implicit Function Theorem,Isomorphism,Optimal Control,Banach Space,Bilinear Form,Boundary ...

In mathematics, it often happens that baroque, highly technical results disguise beautiful underlying principles. This talk traces the path from the elegant contraction mapping principle to the rather ...

The topics covered in this course include infinite sequences and series, power series, tests for convergence, Taylor's theorem and Taylor series for functions of one variable, planes and quadratric ...

Abstract: For a class of input-delayed disturbed linear systems, this paper considers the problem of finite-time implicit-Lyapunov-function (ILF)-based control. With ILF as the evaluation of system ...