Ordinary Differential Equations

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The book presents a comprehensive exploration of initial, boundary, and eigenvalue problems, along with real and complex linear systems. It introduces innovative approaches to differential inequalities and advanced topics like Caratheodory theory and nonlinear boundary value problems. With a focus on functional analysis, it includes applications from various fields such as mechanics, physics, and biology. Exercises of varying difficulty are provided, with solutions for selected ones at the end, making it suitable for beginning graduate or advanced undergraduate students.