Difference approximation of evolution equations and generation of nonlinear semigroups

DOI10.3792/pja/1195518564zbMath0319.34051OpenAlexW2070002836MaRDI QIDQ4081661

Yoshikazu Kobayashi

Publication date: 1975

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518564

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Theoretical approximation of solutions to ordinary differential equations (34A45) Groups and semigroups of linear operators (47D03) General theory of difference equations (39A05) Differential equations in abstract spaces (34G99) Nonlinear operators and their properties (47H99)

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Differential equations in a Banach space ⋮ A well posed problem in singular Fickian diffusion ⋮ Quantum stochastic evolutions ⋮ Nonlinear evolution equations in an arbitrary Banach space ⋮ On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators ⋮ Nonlinear semigroups of translations in Banach space generated by functional differential equations ⋮ Extension problems for accretive sets in Banach spaces ⋮ The asymptotics of nonexpansive iterations ⋮ Lower semi-continuous nonconvex perturbation of \(m\)-accretive differential inclusions in Banach spaces

Cites Work

• Difference approximation of nonlinear evolution equations and semigroups of nonlinear operators
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• Convergence of difference approximation of nonlinear evolution equations and generation of semigroups
• Nonlinear semigroups and evolution equations
• Perturbation theorems for ordinary differential equations
• Continuous nonlinear perturbations of linear accretive operators in Banach spaces
• Differential Equations on Closed Subsets of a Banach Space
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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