D-stability of the model of the Stieltjes string

ABSTRACT

The regular model of the Stieltjes string on a segment with a nonlocal initial value condition is considered. D-stability conditions of the unique solution of the mentioned problem are established. An example is presented as well.

KEYWORDS:

• Stieltjes string
• nonlocal initial value condition
• Lebesgue-Stieltjes integral
• D-stability
• functional differential equations

AMS CLASSIFICATIONS:

• 34K10
• 34K38
• 34K60

Acknowledgments

We thank the reviewers for the valuable and constructive comments on our paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This investigation was supported in part by the Slovak Grant Agency VEGA-SAV, Grant No. 2/0127/20.