On the decay of solutions for some nonlinear evolution equations of second order
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Publication:4186685
DOI10.1017/S002776300001833XzbMath0402.34051MaRDI QIDQ4186685
Publication date: 1979
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Nonlinear Evolution Equations of Second OrderReal Hilbert SpaceReal Banach SpacesAsymptotic Decay of Solutions
Equations involving nonlinear operators (general) (47J05) Linear differential equations in abstract spaces (34G10)
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Cites Work
- Existence, uniqueness and stability of solutions of a class of nonlinear partial differential equations
- Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
- Decay to zero in critical cases of second order ordinary differential equations of Duffing type
- Decay of solutions of some nonlinear evolution equations
- A difference inequality and its application to nonlinear evolution equations
- On continuity of functions with values in various Banach spaces
- On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)
- Stability theory for an extensible beam
- Initial-boundary value problems for an extensible beam
- Asymptotic Behavior and Lower Bounds for Semilinear Wave Equations in Hilbert Space with Applications
- CONVERGENCE OF SOLUTIONS OF THE WAVE EQUATION WITH A NONLINEAR DISSIPATIVE TERM TO THE STEADY STATE
- Some nonlinear evolution equations of second order