Marziyeh Halimi and Roushanak Lotfikar and Simin Mansouri Borojeni Solving of the Fourth Order Differential Equations with the Neumann Problem
1647 - 1649
2011
5
10
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/7492
http://waset.org/publications/58
World Academy of Science, Engineering and Technology
In this paper we considered the Neumann problem for
the fourth order differential equation. First we define the weighted Sobolev space
2 Wα and generalized solution for this equation. Then we consider the existence and uniqueness of the generalized solution,
as well as give the description of the spectrum and of the domain of definition of the corresponding operator.
International Science Index 58, 2011