ON THE STABILITY OF IMPLICIT INTEGRO-DYNAMIC EQUATION ON TIME SCALES
DOI:
https://doi.org/10.51453/2354-1431/2024/1106Abstract
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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