AN EXISTENCE AND UNIQUENESS THEOREM FOR A COUPLED SYSTEM

M. Venkatesulu, A. Prabhu, P. Kumar Baruah

Abstract


In this paper we present an existence and uniqueness theorem for an initial value problem associated with a coupled linear system and determine the dimension of null space of the coupled system. We also present a result on the smoothness of the solution for such IVPs. We adopt functional theoretic approach since it will pave the way for studying the nonlinear BVPs.


Full Text: Postscript

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

IJDEA, Academic Publications, Ltd.