๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An averaging theorem for two-point boundary value problems with applications to optimal control

โœ Scribed by M Balachandra

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
684 KB
Volume
55
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

New fixed point theorems and application
New fixed point theorems and applications to boundary value problems with -Laplacian
โœ Chunyan Xue; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 227 KB

We obtain a new fixed point theorem in cone, which extend the Krasnosel'skii's compression-expansion theorem in cones. Under a quite relaxed condition two theorems for the existence of positive solutions of p-Laplacian boundary value problems are proved.

Solution of linear two-point boundary va
Solution of linear two-point boundary value problems via Fourier series and application to optimal control of linear systems
โœ Mohsen Razzaghi; Alireza Tahai; Abdollah Arabshahi ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 480 KB

The transformation matrix reIating the back vector to the current time vector for the Fourier series is derived and utilized to solve the linear two-point boundary value problem. This approach can be applied to obtain the optimal control of linear systems subject to quadratic cost criteria. Illustra

A three-point boundary value problem wit
A three-point boundary value problem with an integral two-space-variables condition for parabolic equations
โœ A.L. Marhoune ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 211 KB

In this paper, we study a three-point boundary value problem with an integral two-space-variables condition for a class of parabolic equations. The existence and uniqueness of the solution in the functional weighted Sobolev space are proved. The proof is based on two-sided a priori estimates and on