Existence results for evolution equations with superlinear growth

DOI10.12775/TMNA.2019.101zbMath1467.34057OpenAlexW2996942383MaRDI QIDQ2229205

Yanyan Li

Publication date: 22 February 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1577588437

zbMATH Keywords

Leray-Schauder continuation principleNemytskii operatorsemilinear differential equationapproximation solvability method

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) One-parameter semigroups and linear evolution equations (47D06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Semilinear parabolic equations (35K58)

Related Items (2)

Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms

Cites Work

• Nonlocal diffusion second order partial differential equations
• Semigroups of linear operators and applications to partial differential equations
• Ordinary differential equations with nonlinear boundary conditions
• Periodic or bounded solutions of Carathéodory systems of ordinary differential equations
• Nonlocal solutions of parabolic equations with strongly elliptic differential operators
• A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
• Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
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