Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions

We investigate the stability of solutions of perturbed set differential equations with causal operators in regard to their corresponding unperturbed ones considering the difference in initial conditions (time and position) by utilizing Lyapunov functions and Lyapunov functionals.

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Main Authors: Coșkun Yakar, Hazm Talab
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/9794959
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author Coșkun Yakar
Hazm Talab
author_facet Coșkun Yakar
Hazm Talab
author_sort Coșkun Yakar
collection DOAJ
description We investigate the stability of solutions of perturbed set differential equations with causal operators in regard to their corresponding unperturbed ones considering the difference in initial conditions (time and position) by utilizing Lyapunov functions and Lyapunov functionals.
format Article
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institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-cbd3fadc7f954f068c64826564f283872025-02-03T05:43:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/97949599794959Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial ConditionsCoșkun Yakar0Hazm Talab1Department of Mathematics, Faculty of Science, Gebze Technical University, Gebze, 141-41400 Kocaeli, TurkeyDepartment of Mathematics, Faculty of Science, Gebze Technical University, Gebze, 141-41400 Kocaeli, TurkeyWe investigate the stability of solutions of perturbed set differential equations with causal operators in regard to their corresponding unperturbed ones considering the difference in initial conditions (time and position) by utilizing Lyapunov functions and Lyapunov functionals.http://dx.doi.org/10.1155/2021/9794959
spellingShingle Coșkun Yakar
Hazm Talab
Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions
Advances in Mathematical Physics
title Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions
title_full Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions
title_fullStr Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions
title_full_unstemmed Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions
title_short Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions
title_sort stability of perturbed set differential equations involving causal operators in regard to their unperturbed ones considering difference in initial conditions
url http://dx.doi.org/10.1155/2021/9794959
work_keys_str_mv AT coskunyakar stabilityofperturbedsetdifferentialequationsinvolvingcausaloperatorsinregardtotheirunperturbedonesconsideringdifferenceininitialconditions
AT hazmtalab stabilityofperturbedsetdifferentialequationsinvolvingcausaloperatorsinregardtotheirunperturbedonesconsideringdifferenceininitialconditions