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Periodic solutions of Quasilinear Hyperbolic integro-differential equations of second order

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Abstract

We study a periodic boundary-value problem for a quasilinear integro-differential equation with the d’Alembert operator on the left-hand side and a nonlinear integral operator on the right-hand side. We establish conditions under which the uniqueness theorems are true.

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References

  1. Yu. A. Mitropol’skii and N. G. Khoma, “Periodic solutions of second order quasilinear equations,”Ukr. Mat. Zh., 47, 1370–1375 (1995).

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Petrivs’kyi, Y.B. Periodic solutions of Quasilinear Hyperbolic integro-differential equations of second order. Ukr Math J 48, 1776–1778 (1996). https://doi.org/10.1007/BF02529498

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  • DOI: https://doi.org/10.1007/BF02529498

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