Bifurcation and stability of spatially periodic solutions of nonlinear evolution equations with integral operators

DOI10.1007/BF02482690zbMath0664.45005OpenAlexW367241808MaRDI QIDQ1114889

Qi-Shao Lu

Publication date: 1987

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02482690

zbMATH Keywords

stabilitynonlinear evolution equationsintegral operatorsmethod of semigroupsspatially periodic static bifurcating solutions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Groups and semigroups of linear operators (47D03) Stability theory for integral equations (45M10) Singular nonlinear integral equations (45G05)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Bifurcation, perturbation of simple eigenvalues, and linearized stability

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