Results 211 to 220 of about 120,037 (263)

On Contraction of Functional Differential Equations

SIAM Journal on Control and Optimization, 2018
In this paper, the authors present a novel approach to the contraction and the global ex- ponential stability of equilibria and periodic orbits of functional differential equations of the form \[ \frac{dx(t)}{dt}=f(t,x(t),x_t),\quad t\geq\sigma , \] where \(x\in\mathbb{R}^n\).
Pham Huu Anh Ngoc, Hieu Trinh
openaire   +1 more source

On the functional differential equations with “maximums”

Applicable Analysis, 1983
By means of a theorem on surjectivity of a continuous accretive everywhere defined operator the authors prove the existence and uniqueness of the global solution for the problem \(y'(t)=F(t,\max \{y(s): s\in [p(t),q(t)]\}\), max\(\{\) y'(s): \(s\in [u(t),v(t)]\})\), \(t>0\), \(y(t)=\psi (t)\), \(y'(t)=\psi '(t)\), \(t\leq 0\).
Angelov, V. G., Bajnov, D. D.
openaire   +1 more source

Mixed Functional Differential Equations

Journal of Mathematical Sciences, 2005
Definition: A functional-differential equation (FDE) for a function with more than one continuous arguments is called a mixed FDE (MFDE) if it contains a derivative of the unknown function with respect to one of the arguments only. MFDEs form a special subclass of ordinary Banach-space-valued DE with locally bounded right-hand side.
openaire   +1 more source

Home - About - Disclaimer - Privacy