Impulsive Diffusion Equation on Time Scales

Abstract

Abstract. Application of boundary value problems (BVP's) on an arbitrary time scale T is a fairly new and important subject in mathematics. In this study, we deal with an eigenvalue problem for impulsive diffusion equation with boundary conditions on T . We generalize some noteworthy results about spectral theory of classical diffusion equation into T . Also, some eigenfunction estimates of the impulsive diffusion eigenvalue problem are established on T.

On the number of eigenvalues for parameter‐dependent diffusion problem on time scales

“…Gulsen et al 28 studied impulsive diffusion eigenvalue problem on time scales. They generalized some classical results in spectral theory to an arbitrary time scale.…”