On a novel approach for the investigation and approximation of solutions to the systems of higher order nonlinear PDEs
Vasyl Marynets (Uzhhorod National University)
Kateryna Marynets (TU Delft - Mathematical Physics)
Oksana Kohutych (Uzhhorod National University)
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Abstract
We study a boundary value problem for a system of the third order semi-linear partial differential equations with nonlocal boundary conditions. We establish sufficient conditions of existence, uniqueness, regularity and sign-preserving property of solutions of the studied problem and construct an iterative method for its approximation.
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