Stability for second order abstract evolution equations
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Publication:3326982
DOI10.1016/0362-546X(84)90046-4zbMath0541.35007WikidataQ58619830 ScholiaQ58619830MaRDI QIDQ3326982
Publication date: 1984
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
asymptotic stabilityLyapunov functionsabstract evolution equationbeam equationnonlinear potential operatorsquasilinear wave equation with dissipationsemilinear hyperbolic second order equationsstrongly damped wave type equations
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70)
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Asymptotic properties of solutions of nonlinear Volterra integro- differential equations ⋮ Abstract stability theory and applications to hyperbolic equations with time dependent dissipative force fields ⋮ Asymptotic stability for abstract evolution equations and applications to partial differential systems ⋮ Almost periodic solutions for a semilinear quasi-autonomous hyperbolic problem ⋮ Liapunov stability properties in second order evolution equations with finite memory ⋮ Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory ⋮ A remark on the stability problem in fluid dynamics ⋮ Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials ⋮ Local asymptotic stability for dissipative wave systems ⋮ Stability results for hyperbolic and parabolic equations
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