The nonlinear version of Pazy's local existence theorem

DOI10.1007/BF02764918zbMath0406.34064OpenAlexW2008948672MaRDI QIDQ1257595

Ioan I. Vrabie

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764918

zbMATH Keywords

Differential Equations with DelayEquations with Multivalued Right-Hand SidesLocal Existence Theorem for Integral SolutionsNon-Linear Evolution Equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Functional-differential equations in abstract spaces (34K30) Ordinary differential inclusions (34A60)

Related Items

Compactness of the solution operator for a linear evolution equation with distributed measures ⋮ Differential equations in a Banach space ⋮ Existence and attractivity results for a class of degenerate functional- parabolic problems ⋮ Existence of multiple solutions for quasilinear and semilinear elliptic equations ⋮ Local existence theorems for nonlinear differential equations and compactness of integral solutions in Lp(0, T;X) ⋮ Existence theorems for nonlinear evolution equations ⋮ Existence of Periodic Solutions for Nonlinear Evolution Equations in Hilbert Spaces ⋮ Random Semilinear Evolution Equations in Banach Spaces ⋮ Nonlinear nonlocal Cauchy problems in Banach spaces ⋮ Periodic Solutions for Nonlinear Evolution Equations in a Banach Space ⋮ Compactness methods for an abstract nonlinear Volterra integrodifferential equation ⋮ Nonlinear evolution equations with nonmonotonic perturbations ⋮ Nonlinear evolution equations by a Ky Fan minimax inequality approach ⋮ Existence of solutions and periodic solutions for nonlinear evolution inclusions ⋮ Properties of integral solutions of differential inclusions with m- accretive operators ⋮ An existence result for a class of nonlinear evolution equations in Banach spaces ⋮ Tracking solutions of a parabolic equation with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of semi-linear equations of evolution
• An abstract functional differential equation and a related nonlinear Volterra equation
• Solutions faibles d'équations d'évolution dans les espaces de Hilbert. (Weak solution of evolution equations in Hilbert spaces)
• Invariant sets for a class of semi-linear equations of evolution
• Compactness methods for a class of semi-linear evolution-equations
• Compacité des résolvantes des opérateurs maximaux cycliquement monotones
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces