Let $A$ be $n \times n$ real matrix and consider the following boundary value problem system $$y''(x)=Ay(x) \\ y(0)=y(1)=0,$$ where 0 is the null vector in $\mathbb{R}^n$. The matrix $A$ is not necessarely diagonalizable. How can we solve this system explicitly? Is there any references about that?. Thank you.
2026-03-29 20:37:27.1774816647
Second order boundary value problem system
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