Existence results for some classes of differential systems with "maxima"

Author:

,Mangino ElisabettaORCID,Pascali EduardoORCID,

Abstract

"Local existence of solutions of initial value problems associated with a new type of systems of differential equations with “maxima” are investigated. Keywords: Systems of differential equations with ""maxima"", initial value problems, local existence of solutions."

Publisher

Babes-Bolyai University Cluj-Napoca

Reference9 articles.

1. "[1] Agwa, H.A., Moatimid, G.M., Hamam, M., Oscillation of second-order nonlinear neutral dynamic equations with maxima on time scales with nonpositive neutral term, Ital. J. Pure Appl. Math., 45(2021), 375-387.

2. [2] Bainov, D.D., Hristova S.G., Differential Equations with Maxima, Chapman & Hall, CRC Press, Boca Raton, London - New York, 2011.

3. [3] D'Ancona, U., La Lotta per l'Esistenza, Giulio Einaudi Editore, Torino, 1942.

4. [4] Dashkovskiy, S., Hristova, S., Kichmarenko, O., Sapozhnikova, K., Behavior of solutions to systems with maximum, IFAC-PapersOnLine, 50(2017), no. 1, 12925-12930.

5. [5] Ilea, V., Otrocol, D., Existence and uniqueness of the solution for an integral equation with supremum, via w-distances, Symmetry, 12(2020), no. 9.

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