Inverse problem for differential operators with boundary conditions dependent on eigenparameter
J. Math. Comput. Sci.
(Volume : 12)
In this paper, we give a reconstruction formula for the potential q for a second order differential equation with boundary condition which contains spectral parameter. For this as methodology, we use Prufer substitution that has an advantage different from other methods. Because in this method, we do not need any information of eigenfunctions.
In this article, some types of convergence are discussed along with a class of γ-continuous functions. It
is known that various classes of generalized continuous functions are closed under the uniform convergence. We
show that γ-continuity is closed with respect to a weaker type of convergence. Further properties of such types of
convergence related to γ-continuous functions are obtained.
