Nonlocal Parabolic Integro-differential Equations with Delays

kumar, kamlendra; Kumar, Ranjeet; Shukla, Rajni

doi:10.14419/ijamr.v1i4.356

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2014

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“…Various classes of loaded equations were studied in [8]. Note here some recent works dealing with parabolic integro-differential equations [9,10]. See also references therein.…”

Section: Introductionmentioning

confidence: 99%

About One Problem for the MAC Model for the Heat Conduction Equation

Danilkina

Neygebauer

Lyakurwa

2014

BJMCS

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The aim of this work is to study a class of problems for continuum models in mechanics. We construct the MAC model for the parabolic equation which could include the physical solution appying Newton's law of cooling. A notion of a generalized solution is introduced. We apply Galerkin method to prove the existence of a generalized solution. The proof of uniqueness of a generalized solution is based on the obtained energy inequality.

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“…Various classes of loaded equations were studied in [8]. Note here some recent works dealing with parabolic integro-differential equations [9,10]. See also references therein.…”

Section: Introductionmentioning

confidence: 99%