Generalization of Peano and Carathe´ odory Theorems for a Boundary Value Problemстатья
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Дата последнего поиска статьи во внешних источниках: 1 октября 2025 г.
Аннотация:The paper considers a system of ordinary differential equations with nonlinear boundary conditions in the form of equalities and inequalities. For this roblem, sufficient conditions for the existence of solutions on a certain family of closed intervals are obtained. In the particular case of the Cauchy problem, these conditions turn into the classical conditions of the Peano and Carathe´ odory theorems. Some examples are given that illustrate the main result.