Nonhomogeneous quasi-linear evolution equations in Banach spaces

DOI10.1016/0362-546X(85)90085-9zbMath0634.34065OpenAlexW2008845618MaRDI QIDQ3772581

Shigeo Kato

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90085-9

zbMATH Keywords

evolution operatorstable family

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) General theory of ordinary differential operators (47E05)

Related Items (15)

Approximate controllability results for integro-quasilinear evolution equations via trajectory reachable sets ⋮ Existence of solutions for quasilinear random impulsive neutral differential evolution equation ⋮ Approximate controllability of random impulsive quasilinear evolution equation ⋮ Controllability of nonlocal impulsive quasi-linear integrodifferential systems in Banach spaces ⋮ Strong solutions to quasi-linear differential equations with deviating arguments ⋮ Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions ⋮ Quasilinear integrodifferential equations in Banach spaces ⋮ Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability ⋮ Existence of local solutions of quasilinear integrodifferential equations in banach spaces ⋮ Stability and asymptotic behavior of periodic traveling wave solutions of viscous conservation laws in several dimensions ⋮ Efficient computation of analytic bases in Evans function analysis of large systems ⋮ Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD ⋮ Stability of detonation profiles in the ZND limit ⋮ Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD ⋮ Existence results for neutral impulsive quasilinear mixed Volterra-Fredholm type integrodifferential systems

Cites Work

• Convergence of approximate solutions to quasi-linear evolution equations in Banach spaces
• Differential equation s in abstract spaces
• Linear evolution equations of hyperbolic type. II
• Quasi-Linear Evolution Equations in Banach Spaces
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