𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bounds on response of a class of coupled linear partial differential equations

✍ Scribed by G. Ahmadi

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
622 KB
Volume
110
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The problem of obtaining bounds on the response of a distributed system which is governed b2;' a class of coupled partial differential equations is considered. The Liapunov method is used and several general bounds on the peak response are developed. A variational optimization scheme for obtaining sharp bounds is presented. Bounds on the responses of a panel in an air stream and a tall structure under seismic excitations are obtained to illustrate the applicability of the method.

πŸ“œ SIMILAR VOLUMES

A Class of Linear Partial Neutral Functi
A Class of Linear Partial Neutral Functional Differential Equations with Nondense Domain
✍ Mostafa Adimy; Khalil Ezzinbi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 498 KB

We consider a system of linear partial neutral functional differential equations with nondense domain. A natural generalized notion of solutions is provided by the integral solutions. We derive a variation-of-constants formula which allows us to transform the integral solutions of the neutral equati

On a certain class of a nonlinear evolut
On a certain class of a nonlinear evolution partial differential equations
✍ S. Mesloub; H.A. Abdusalam πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 159 KB

An existence result and a priori bound for the solution of a second-order nonlinear parabolic equation are established. Also a generalized tanh-function method is used for constructing exact travelling wave solutions for the nonlinear diffusion equation of Fisher type originated from the considered