Two-point boundary value problem for a system of functional-differential equations with maxima
Двухточечная краевая задача для системы функцио
DOI:
https://doi.org/10.56143/ujmcs.v1i2.7Keywords:
Boundary value problem, system of ordinary differential equations, parameterization method, necessary and sufficient conditions, existence and uniqueness of the solution.Abstract
{This article considers the questions of two-point boundary value problem for a system
of first-order ordinary differential equations with maxima. The parametrization method is using. The convergence conditions are obtained and the algorithms of solving are built. The necessary and sufficient coefficient conditions for the well-posedness of considered problem are established. The method of contracted mapping is used in the proof of unique solvability of functional-integral equations in the space $BD\big([0,\omega],\mathbb{R}^{n} \big)$.
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