•  
  •  
 

Turkish Journal of Mathematics

DOI

10.3906/mat-0809-34

Abstract

The paper is concerned with an eigenvalue problem for second order differential equations with impulse. Such a problem arises when the method of separation of variables applies to the heat conduction equation for two-layered composite. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.

First Page

355

Last Page

366

Included in

Mathematics Commons

Share

COinS