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AFFANE, D.—GHALIA, S.: First-order iterative differential inclusion, Electron. J. Math. Anal. Appl. 10 (2022), 1–10.Search in Google Scholar
AUBIN, J.-P.—CELLINA, A.: Differential Inclusions. Set-valued Maps and Viability Theory. Grundlehren Math. Wiss. [Fundamental Principles of Mathematical Sciences], Vol. 264 Springer-Verlag, Berlin, 1984.Search in Google Scholar
BERINDE, V.: Existence and approximation of solutions of some first order iterative differential equations, Miskolc Math. Notes 11 (2010), 13–26.Search in Google Scholar
BERTSEKAS, D. P.: Convex Optimization Theory. Athena Scientific, Nashua, NH, 2009.Search in Google Scholar
BRÉZIS, H.: Opérateurs Maximaux Monotones et Semi-groupes de Contractions Dans les Espaces de Hilbert. North-Holland Math. Stud. Vol. 5, Elsevier, Amsterdam, 1973.Search in Google Scholar
BUICĂ, A.: Existence and continuous dependence of solutions of some functional--differential equations, Babes,-Bolyai Univ., Fac. Math. Comput. Sci., Res. Semin., Preprint 1995 (1995), 1–13.Search in Google Scholar
CARLOTA, C.—CHÁ, S.: An existence result for non-convex optimal control problems, WSEAS Trans. Syst. Control. 9 (2014), 687–697.Search in Google Scholar
CARLOTA, C.—ORNELAS, A.: Existence of vector minimizers for nonconvex 1-dim integrals with almost convex Lagrangian,J.Differ. Equations 243 (2007), 414–426.Search in Google Scholar
CELLINA, A.—ORNELAS, A.: Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case, SIAM J. Control Optim. 42 (2003), 260–265.Search in Google Scholar
CESARI, L.: Optimization—Theory and Applications. Problems with Ordinary Differential Equations. Appl. Math. (New York). Vol. 17, Springer, New York, 1983.Search in Google Scholar
CHENG, S. S.: Smooth solutions of iterative functional differential equations, In: Proceedings of the international conference: Dynamical systems and applications 2024, Antalya, Turkey, July 5–10, 2004.Search in Google Scholar
CLARKE, F. H.: Optimization and Nonsmooth Analysis. Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley, New York, NY, 1983.Search in Google Scholar
EDER, E.: The functional differential equation x (t)= x(x(t)), J. Differ. Equations 54 (1984), 390–400.Search in Google Scholar
EL-SAYED, A. M. A.—EBEAD, H.: On an initial value problem of delay-refereed differential equation, Int. J. Math. Trends Technol. 66 (2020), 32–37.Search in Google Scholar
EL-SAYED, A. M. A.—HAMDALLAH, E.—EBEAD, H.: Positive solutions of an initial value problem of a delay-self-reference nonlinear differential equation, Malaya J. Matematik. 8 (2020), 1001–1006.Search in Google Scholar
FEČKAN, M.: On a certain type of functional differential equations, Math. Slovaca 43 (1993), 39–43.Search in Google Scholar
GHALIA, S.—AFFANE, D.: Control problem governed by an iterative differential inclusion,Rend. Circ.Mat.Palermo (2) 72 (2023), no. 4, 2621–2642.Search in Google Scholar
GHALIA, S.—AFFANE, D.: On the attainable set of iterative differential inclusions, Math. Slovaca 73 (2023), 1479–1498.Search in Google Scholar
KAUFMANN, E. R.: Existence and uniqueness of solutions for a second-order iterative boundary-value problem, Electron. J. Differ. Equ. 2018 (2018), 1–6.Search in Google Scholar
KUMLIN, P.: A note on fixed point theory, Functional analysis lecture (2004).Search in Google Scholar
KUNZE, M.—MONTEIRO MARQUES, M. D. P.: BV solutions to evolution problems with time-dependent domains, Set-Valued Anal. 5 (1997), 57–72.Search in Google Scholar
LAURAN, M.: Existence results for some differential equations with deviating argument, Filomat 25 (2011), 21–31.Search in Google Scholar
OPREA, N.: Numerical solutions of first order iterative functional-differential equations by spline functions of even degree, Acta Marisiensis Ser. Technol. 6 (2009), 34–37.Search in Google Scholar
PEDREGAL, P.: On the generality of variational principles,Milan J.Math. 71 (2003), 319–356.Search in Google Scholar
PELCZAR, A.: On some iterative-differential equations. I, Zesz. Nauk. Uniw. Jagielloń. Pr. Mat. 167 (1968), 53–56.Search in Google Scholar
PODISUK, M.: On simple iterative ordinary differential equations, Science Asia. 28 (2002), 191–198.Search in Google Scholar
SI, J.-G.—WANG, X.-P.—CHENG, S. S.: Nondecreasing and convex C2-solutions of an iterative functional-differential equation, Aequationes Math. 60 (2000), 38–56.Search in Google Scholar
WANG, K.: On the equation x (t)= f (x(x(t))), Funkcial. Ekvacioj, Ser. Int. 33 (1990), no. 3, 405–425.Search in Google Scholar
YANG, D.—ZHANG, W.: Solutions of equivariance for iterative differential equations, Appl. Math. Lett. 17 (2004), 759–765.Search in Google Scholar
ZHANG, P.: Analytic solutions for iterative functional differential equations, Electron. J. Differ. Equ. 2012 (2012), 1–7.Search in Google Scholar
ZHANG, P.—GONG, X.: Existence of solutions for iterative differential equations, Electron. J. Differ. Equ. 2014 (2014), 1–10.Search in Google Scholar
ZHOU, J.—SHEN, J.: Positive solutions of iterative functional differential equations and application to mixed-type functional differential equations, Discrete Contin. Dyn. Syst., Ser. B 27 (2022), 3605–3624.Search in Google Scholar