IEEE

Implicit Function Theorem for Nonlinear Time-Delay Systems With Algebraic Constraints

Abstract: In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of ...
Risk

Automatic implicit function theorem

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 ...
Scientific Research Publishing

Kharlamapovich, O. and Myasnikov, A. (2005) The Implicit Function Theorem over Free groups. Journal of Algebra, 290, 1-203.

ABSTRACT: The Tarski theorems, proved by Myasnikov and Kharlampovich and inde-pendently by Sela say that all nonabelian free groups satisfy the same first-order or elementary theory. Kharlampovich and ...
Scientific Research Publishing

Krantz, S.G. and Parks, H.R. (2003) The Implicit Function Theorem: History, Theory and Applications. Birkhauser.

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 ...