First-Order Impulsive Differential Systems: Sufficient and Necessary Conditions for Oscillatory or Asymptotic Behavior
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Date
2021
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Publisher
Springer Science and Business Media Deutschland GmbH
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GOLD
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Abstract
In this paper, we study the oscillatory and asymptotic behavior of a class of first-order neutral delay impulsive differential systems and establish some new sufficient conditions for oscillation and sufficient and necessary conditions for the asymptotic behavior of the same impulsive differential system. To prove the necessary part of the theorem for asymptotic behavior, we use the Banach fixed point theorem and the Knaster–Tarski fixed point theorem. In the conclusion section, we mention the future scope of this study. Finally, two examples are provided to show the defectiveness and feasibility of the main results. © 2021, The Author(s).
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Keywords
Banach Fixed Point Theorem, Delay, Impulsive, Knaster–Tarski Fixed Point Theorem, Neutral, Oscillation, Impulsive, Artificial intelligence, Class (philosophy), Banach fixed point theorem, Asymptotic Analysis, Economics, Neutral, Knaster–Tarski fixed point theorem, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Engineering, Differential equation, Numerical Methods for Singularly Perturbed Problems, Banach fixed-point theorem, QA1-939, FOS: Mathematics, Comparison theorem, Genetics, Fixed-point theorem, Biology, Order (exchange), Delay, Numerical Analysis, Impulsive Differential Equations, Applied Mathematics, Oscillation (cell signaling), Fixed point, Applied mathematics, Computer science, Oscillation, Control and Systems Engineering, FOS: Biological sciences, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Mathematics, Ordinary differential equation, Finance, Knaster-Tarski fixed point theorem, Asymptotic theory of functional-differential equations, Oscillation theory of functional-differential equations, Functional-differential equations with impulses, oscillation, Neutral functional-differential equations, impulsive equation
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Santra, Shyam Sundar; Baleanu, Dumitru; Khedher, Khaled Mohamed (2021). "First-order impulsive differential systems: sufficient and necessary conditions for oscillatory or asymptotic behavior", Advances in Difference Equations, Vol. 2021, No. 1.
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OpenCitations Citation Count
7
Source
Advances in Difference Equations
Volume
2021
Issue
1
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CrossRef : 5
Scopus : 7
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Mendeley Readers : 1
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8
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