✦ LIBER ✦

Existence and approximation of solutions of non-linear discrete systems on infinite intervals

✍ Scribed by Ravi P. Agarwal; Donal O'Regan

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 101 KB
Volume: 22
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19990110)22:1<91::aid-mma22>3.0.co;2-f

No coin nor oath required. For personal study only.

✦ Synopsis

We study existence and approximation of solutions for a discrete system. Our approach is based on the notions of collectively compact operators and strict convergence.

📜 SIMILAR VOLUMES

Constructive approximation of non-linear

Constructive approximation of non-linear discrete-time systems

✍ Sandberg, Irwin W. 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB 👁 1 views

It is known that large classes of approximately-"nite-memory maps can be uniformly approximated arbitrarily well by the maps of certain non-linear structures. As an application, it was proved that time-delay networks can be used to uniformly approximate arbitrarily well the members of a large class

Existence and non-existence of global so

Existence and non-existence of global solutions for a class of non-linear wave equations

✍ Chen Guowang; Yang Zhijian 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB 👁 2 views

This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con

On the existence of common quadratic Lya

On the existence of common quadratic Lyapunov functions for second-order linear time-invariant discrete-time systems

✍ Mehmet Akar; Kumpati S. Narendra 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 259 KB 👁 2 views

Existence of Global Weak Solutions for C

Existence of Global Weak Solutions for Coupled Thermoelasticity under Non-Linear Boundary Conditions

✍ Marian Bien 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 488 KB 👁 2 views

## Communicated by B. Brosowski The existence of global weak solutions for coupled thermoelasticity with non-linear contact boundary conditions corresponding to the friction problem is considered. The time-continuous Galerkin method and a priori estimates obtained with Gronwall's inequality in con

OPTIMIZATION OF MECHANICAL SYSTEMS: ON N

OPTIMIZATION OF MECHANICAL SYSTEMS: ON NON-LINEAR FIRST-ORDER APPROXIMATION WITH AN ADDITIVE CONVEX TERM

✍ KEGL, M. ;OBLAK, M. M. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB 👁 2 views

This paper presents an improved approximation technique for gradient based approximation methods of mathematical programming. The proposed technique prevents oscillations of the sequence of approximate solutions in the optimization process eciently and preserves the relatively simple form of the app

Global existence, asymptotic behaviour,

Global existence, asymptotic behaviour, and global non-existence of solutions for damped non-linear wave equations of Kirchhoff type in the whole space

✍ Kosuke Ono 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB 👁 2 views

We study the global existence, asymptotic behaviour, and global non-existence (blow-up) of solutions for the damped non-linear wave equation of Kirchho! type in the whole space: , and '0, with initial data u(x, 0)"u (x) and u R (x, 0)"u (x).