Local Existence Theorems for Nonlinear Differential Equations

DOI10.1137/0514008zbMath0533.34004OpenAlexW2050414749MaRDI QIDQ3315795

Norimichi Hirano

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514008

zbMATH Keywords

weakly closedm-accretivelocal existence of solutions

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)

Related Items (5)

Compactness of the solution operator for a linear evolution equation with distributed measures ⋮ Local existence theorems for nonlinear differential equations and compactness of integral solutions in Lp(0, T;X) ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Nonlinear evolution equations with nonmonotonic perturbations ⋮ Nonlinear evolution equations by a Ky Fan minimax inequality approach

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