The Cauchy problem for parabolic equation over the field of $p$-adic numbers with impulse action

  • V.M. Luchko Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine
Keywords: Cauchy problem, matricant, impulse action
Published online: 2014-07-15

Abstract


The Cauchy problem for a parabolic equation with the impulse action is considered. Its solution is constructed and properties of the solution are studied above the field $\mathbb{Q}_{p}$.

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