Invariant set and stable region of a class of partial differential equations with time delays

DOI10.1016/S0362-546X(00)00111-5zbMath0981.35094WikidataQ127526146 ScholiaQ127526146MaRDI QIDQ5930638

Shuyong Li, Dao Yi Xu, Zhilin Pu, Xiao-Ping Zhou

Publication date: 2 July 2001

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

invariant setCauchy problemmild solutionstable region

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic stability for some systems of semilinear Volterra diffusion equations
• Stability of Volterra diffusion equations with time delays
• Uniform asymptotic stability of abstract functional differential equations
• Theory and applications of partial functional differential equations
• On Volterra’s Population Equation with Diffusion
• The stability of linear partial differential systems with infinite delay
• Stable equilibrium point of some diffusive functional differential equations