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Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term.
The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable.
The integral equivalent equation with impulses satisfying the Carathéodory and Lipschitz conditions is embedded in the space of generalized ordinary differential equations (GODEs), and the correspondence between the generalized ordinary differential equation and the nonhomogeneous retarded equation coupled with impulsive term is established by the construction of a local flow by means of a topological dynamic satisfying certain technical conditions.
The uniqueness of the equation solution is proved.
The results obtained follow the primitive Riemann concept of integration from a simple understanding.
American Psychological Association (APA)
Igobi, D. K.& Abasiekwere, U.. 2019. Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1159163
Modern Language Association (MLA)
Igobi, D. K.& Abasiekwere, U.. Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation. International Journal of Differential Equations No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1159163
American Medical Association (AMA)
Igobi, D. K.& Abasiekwere, U.. Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1159163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159163