On the existence of solutions of a nonlinear integro-differential system of transport equations

DOI10.1134/S000143461107011XzbMath1241.45007OpenAlexW2030576442MaRDI QIDQ764019

R. S. Makin

Publication date: 13 March 2012

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461107011x

zbMATH Keywords

Sobolev spaceCauchy problemglobal stabilityBanach spacetransport equationsnonlinear integro-differential systemdiffusion operatorGronwall-Bellman lemmanuclear reactorsinhomogeneous distributed mediaLyapunov surface

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability theory for integral equations (45M10) Transport processes in time-dependent statistical mechanics (82C70) Systems of nonlinear integral equations (45G15) Nuclear reactor theory; neutron transport (82D75)

Cites Work

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