The existence and qualitative properties of solutions of \((\partial u/\partial t) + {1 \over 2} (\partial/\partial x) [u^2 + \int\limits_0^t c(s) u^2(x,t-s)ds]=0\)

DOI10.1016/0022-247X(73)90133-9zbMath0264.45014OpenAlexW1995376472MaRDI QIDQ2561735

Yanyan Li

Publication date: 1973

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(73)90133-9

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05)

Related Items (3)

On the Long-time Behaviour of Solutions to a Conservation Law with Memory ⋮ The Riemann problem for the system \(u_ t+\sigma _ x=0\) and \((\sigma - f(u))_ t+(\sigma -\mu f(u))=0\) ⋮ A model Riemann problem for Volterra equations

Cites Work

• A Study of Relaxing Waves

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