Some remarks on differential equations of quadratic type

DOI10.1007/BF01049742zbMath0756.34066MaRDI QIDQ1176691

Shiro Ishikawa, Roger D. Nussbaum

Publication date: 25 June 1992

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

zbMATH Keywords

existenceasymptotic behaviourBanach spacepartial differential equationsBoltzmann modelnonexpansive nonlinear semigroupsabstract formulation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear differential equations in abstract spaces (34G20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Applications of the Birkhoff–Hopf theorem to the spectral theory of positive linear operators ⋮ Controlling limits of Boltzmann-type ODE's ⋮ A Müntz wavelets collocation method for solving fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A study of Boltzmann energy equations
• Circulant matrices and differential-delay equations
• The Tjon-Wu equation in Banach space settings
• Omega limit sets of nonexpansive maps: Finiteness and cardinality estimates
• Solving integral equations by iteration
• Differential equations on convex sets
• Series solutions for nonlinear Boltzmann equations
• On the Tjon-Wu representation of the Boltzmann equation
• Hilbert’s projective metric and iterated nonlinear maps
• Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Krasnoselskii's iteration process in hyperbolic space

This page was built for publication: Some remarks on differential equations of quadratic type