Electron. J. Differential Equations, Vol. 2024 (2024), No. 07, pp. 1-18.
Existence and stabilization for impulsive differential equations of
second order with multiple delays
Sandra Pinelas, Osman Tunc, Erdal Korkmaz, Cemil Tunc
Abstract:
Existence and stability of solutions are important parts in the qualitative study
of delay differential equations. The stabilizing by imposing proper
impulse controls are used in many areas of natural sciences and engineering.
This article provides sufficient conditions for the existence and exponential
stabilization of solutions to delay impulsive differential equations
of second-order with multiple delays.
The main tools in this article are the Schaefer fixed point theorem,
fixed impulse effects, and Lyapunov-Krasovskii functionals.
The outcomes extend earlier results in the literature.
Submitted August 23, 2023. Published January 23, 2024.
Math Subject Classifications: 34A37, 34K45.
Key Words: Impulsive delay differential equations, exponentially stabilization, existence of solutions; multiple delays.
DOI: 10.58997/ejde.2023.07
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Sandra Pinelas
Departamento de Ciências Exatas e Engenharia
Academia Militar, Av. Conde Castro Guimarães
2720-113 Amadora, Portugal
email: sandra.pinelas@gmail.com
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Osman Tunç
Department of Computer Programing
Baskale Vocational School
Van Yuzuncu Yil University, Campus, 65080 Van-Turkey
email: osmantunc89@gmail.com
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Erdal Korkmaz
Department of Mathematics
Faculty of Arts and Sciences
Muş Alparslan University
49250, Muş, Turkey
email: korkmazerdal36@hotmail.com
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Cemil Tunç
Department of Mathematics
Faculty of Sciences
Van Yuzuncu Yil University
65080, Campus, Van, Turkey
email: cemtunc@yahoo.com
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