A multiplicity theorem for hyperbolic systems

DOI10.1016/0022-0396(88)90079-4zbMath0679.34077OpenAlexW2070503041MaRDI QIDQ1822680

Xiao-Biao Lin, Aloisio Freiria Neves

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90079-4

zbMATH Keywords

hyperbolic systemsretarded functional differential equationsabstract evolution equations

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition ⋮ Spectral mapping theorem for linear hyperbolic systems ⋮ Singular functional differential equations of neutral type in Banach spaces ⋮ Hopf bifurcation for semilinear dissipative hyperbolic systems ⋮ Characteristic Matrices and Spectral Properties of Evolutionary Systems ⋮ The rate at which energy decays in a viscously damped hinged Euler-Bernoulli beam ⋮ Algebraic dichotomies with an application to the stability of Riemann solutions of conservation laws

Cites Work

• On the spectrum of evolution operators generated by hyperbolic systems
• Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. II
• Theory of functional differential equations. 2nd ed
• A folk theorem in functional differential equations
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