On the existence of a local solution for an integro-differential equation with an integral boundary condition
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In this paper, we consider a nonlinear hyperbolic equation with a nonlocal boundary condition. We apply the Faedo–Galerkin’s method to establish the local existence and uniqueness of a weak solution.
KeywordsNonlinear hyperbolic equation Faedo–Galerkin’s method Integro-differential equation Integral boundary condition Local existence
Mathematics Subject Classification35L70 35R09 35A01
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