ON THE STABILITY OF IMPLICIT INTEGRO-DYNAMIC EQUATION ON TIME SCALES

Authors

  • Nguyen Thu Ha Electric Power University

DOI:

https://doi.org/10.51453/2354-1431/2024/1106

Abstract

This paper deals with the robust stability of implicit integro - dynamic equations. We consider the solvability of the equation and then the preservation of exponential stability under small perturbations

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References

Abdul-Majid Wazwaz. (2011). Linear

and Nonlinear Integral Equations Meth- ods and Applications, Springer.

A. S. Andreev and O. A. Peregudova. (2018). On the stability and stabilization problems of implicit integro-dynamic

equtions, Russ. J. Nonlinear Dyn. 14,

no. 3, 387-407.

Bohner, M., Peterson, A. (2001).

Dynamic equations on time scales: An Introduction with Applications,

Birkha¨user, Boston.

Guseinov, G. Sh. (2003). Integration on time scales, J. Math. Anal. Appl. 285, 107-127.

H. Brunner. (2017). Volterra integral

equations: an introduction to theory and

applications, University Printing House, Cambridge CB2 8BS, United Kingdom.

Yu, L., Daleckii, Krein, M. G. (1971).

Stability of Solutions of Differential Equations in Banach Space, Amer.

Math. Soc., Providence, RI.

Du, N. H., Linh, V. H., Nga, N. T. T. (2016). On stability and Bohl exponent of linear singular systems of difference equations with variable coefficients, J.

Differ. Equ. Appl. 22, 1350-1377.

Choi, S. K., and Koo, N. (2010). On a Gronwall-type inequality on time scales.

Journal of Chungcheong maththematica

society 23, no. 1, 137-148.

R. M¨arz. (1998). Extra-ordinary differ- ential equation: attempts to an analysis of differential algebraic system, Progress

in Mathematics 168, 313-334.

D.D. Thuan, K.C. Nguyen, N.T. Ha, N.H. Du, (2019). Robust stability of lin- ear time-varying implicit dynamic equa- tions: a general consideration, Math.

Control Signals Systems 31, no. 3, 385-

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Published

2025-01-16

How to Cite

Thu Ha, N. (2025). ON THE STABILITY OF IMPLICIT INTEGRO-DYNAMIC EQUATION ON TIME SCALES. SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 10(4). https://doi.org/10.51453/2354-1431/2024/1106

Issue

Section

Natural Science and Technology