Existence for one-dimensional nonlinear parabolic Volterra integrodifferential equations

DOI10.1216/jiea/1181075728zbMath0780.45013OpenAlexW1980531990MaRDI QIDQ1801438

Hong-Ming Yin, Yan Ping Lin

Publication date: 30 January 1994

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075728

zbMATH Keywords

global solvabilitynonlinear integrodifferential equationnonlinear parabolic Volterra integrodifferential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

Cites Work

• The classical solutions for nonlinear parabolic integrodifferential equations
• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• On Parabolic Volterra Equations in Several Space Dimensions
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
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