eduzhai > Physical Sciences > Physics Sciences >

Cordial Volterra Integral Equations with Vanishing Delays*

  • Save

... pages left unread,continue reading

Document pages: 10 pages

Abstract: Cordial Volterra integral equations (CVIEs) from some applications models associated with a noncompact cordial Volterra integral operator are discussed in the recent years. A lot of real problems are effected by a delayed history information. In this paper we investigate some properties of cordial Volterra integral operators influenced by a vanishing delay. It is shown that to replicate all eigenfunctions , or , the vanishing delay must be a proportional delay. For such a linear delay, the spectrum, eigenvalues and eigenfunctions of the operators and the existence, uniqueness and solution spaces of solutions are presented. For a nonlinear vanishing delay, we show a necessary and sufficient condition such that the operator is compact, which also yields the existence and uniqueness of solutions to CVIEs with the vanishing delay.

Please select stars to rate!

         

0 comments Sign in to leave a comment.

    Data loading, please wait...
×