𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Explicity resolvable equations with functional non-linearities

✍ Scribed by Norman W. Bazley; Jürgen Weyer


Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
409 KB
Volume
10
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


Communicated by E. de Jager

We consider the non-linear evolution equation pdu/dt + Eu+ n(u)L.(u)= h, where n(u) is a functional, and introduce assumptions which allow its explicit solution. Several concrete applications of our procedure are given.


📜 SIMILAR VOLUMES


Lyapunov Functional for Multiple Delay G
✍ Zuoxin Gan; Weigao Ge 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 103 KB

In this paper, the absolute stability problem of a multiple delay general Lurie control system with multiple non-linearities is considered. Necessary and sufficient conditions are obtained for the existence of the Lyapunov functional of extended Lurie form with negative definite derivative. From tho

Hierarchical optimisation for non-linear
✍ Madan Singh; Mohamed F. Hassan 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 213 KB

In this paper the previous hierarchical optimisation algorithm of Hassan and Singh for non-linear interconnected dynamical systems with separable cost functions is extended to the case of non-linear and non-separable cost functions. This ensures that any decomposition could be used and makes the new