On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. II

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69416For an operator-differential equation of the form $y^{(m)}(z) = Ay(z)$, where $A$ is a closed linear operator on a Banach space over the the field of $p$-adic numbers, the necessary and sufficient conditions on initial data for the Cauchy problem to be well-posed in the class of locally analytic vector-valued functions are given. The result is illustrated by $p$-adic partial differential equations.9 pages, LaTeX-2eNumber TheoryAnalysis of PDEs12H25; 34G10On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. IItext