Periodic semi-linear functional differential inclusion system with state-dependent delays
Functional Differential Inclusions System with State-Dependent Delays
Abstract
In this work, we establish several results about the existence and uniqueness of mild solutions for some periodic semi-linear functional differential inclusions system with state-dependent delays.
References
Ahmed, N.U. 1991. Semigroup Theory with Applications to Systems and Control, Pitman Research Notes in Mathematics Series, ISBN-10: 0582065992.
Aubin, J.P. & Frankowska, H. 1990. Set-Valued Analysis, Birkhäuser, Boston ISBN: 978-0-8176-4847-3.
Daoudi, K. 2018. Contribution aux équations et inclusions différentielles à retard dépendant de l´etat, PhD thesis. Djillali Liabes University (in French).
Daoudi, K., Henderson J. & Ouahab, A. 2018. Existence and uniqueness of solutions for some neutral differential equations with state-dependent delays. Communications in Applied Analysis, (22) (3), 333-351. Available at:https://scholar.google.com/citations?view_op=view_citation&hl=ar&user=zSKiQwIAAAAJ&citation_for_view=zSKiQwIAAAAJ:u-x6o8ySG0sC
Djebali, S., Gorniewicz L. & Ouahab, A. 2010. First-order periodic impulsive semilinear differential inclusions: Existence and structure of solution sets. Mathematical and Computer Modelling, (52), 683-714. Available at:https://www.sciencedirect.com/science/article/pii/S0895717710002062
Górniewicz, L. 2006. Topological Fixed Point Theory of Multivalued Mappings, Mathematics and its Applications. Dordrecht: Springer. ISBN-10:
-4020-4665-0 (HB).
Hale, J. K. 1977. Theory of Functional Differential Equations. Springer-Verlag, New York. ISBN -13: 978-1-4612-9894-6.
Hale, J. K. & VerduynLunel, S. 1993. Introduction to Functional -Differential Equations, Applied Mathematical Sciences, Springer Science+Business Media, LLC. ISBN 978-1-4612-8741-4.
Kolmanovskii, V. & Myshkis, A. 1999. Introduction to the Theory and Applications of Functional-Differential Equations. SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. ISBN: 978-90-481-5148-6.
Mohamed, F. & Tayeb, B. 2019. Random semilinear system of differential equations with state-dependent delay. Advances in the Theory of Nonlinear Analysis and its Applications, (3) (1), pp.1-10. Available at:
https://doi.org/10.31197/atnaa.468807
Ouahab, A. 2015. Some Perov’s and Krasnoles’skii type fixed point results and application, Communications in Applied Analysis, (19), 623-642. Available at:https://www.google.com/url?sa=t&source=web&rct=j&opi=89978449&url=http://dynamicpublishers.com/CAA/CAA2015/45-CAA-623-642.pdf&ved=2ahUKEwjo2fT65OeHAxW0BdsEHadTOs4QFnoECBQQAQ&usg=AOvVaw02l6iVWcLXkehKN2V9qB8Z
Sinacer, M.L., Nieto, J.J. and Ouahab, A., 2016. Random fixed point theorem in generalized Banach space and applications. Random Operators and Stochastic Equations, 24(2), pp.93-112. Available at: https://www.degruyterbrill.com/document/doi/10.1515/rose-2016-0007/html
Wu, J. 1996. Theory and Applications of Partial Functional Differential Equations, Springer-Verlag, New York. ISBN-13: 978-1-4612-8479-6.
Copyright (c) 2025 Khelifa Daoudi, Mohamed Belaidi

This work is licensed under a Creative Commons Attribution 4.0 International License.
Proposed Creative Commons Copyright Notices
Proposed Policy for Military Technical Courier (Journals That Offer Open Access)
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
