Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators

DOI10.1090/S0002-9939-97-03984-1zbMath0883.47051OpenAlexW1510759259MaRDI QIDQ4356698

Naoki Shioji

Publication date: 1 October 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03984-1

zbMATH Keywords

periodic solutionsreflexive Banach spaceevolution equationspseudo monotone operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Periodic solutions to PDEs (35B10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (11)

Note on the existence theory for evolution equations with pseudo-monotone operators ⋮ Periodic solutions for nonlinear nonmonotone evolution inclusions ⋮ Note on the existence theory for non‐induced evolution equations ⋮ Existence of Weak Solutions for Unsteady Motions of Micropolar Electrorheological Fluids ⋮ Existence of periodic solutions for first-order evolution equations without coercivity. ⋮ Existence and uniqueness of solutions to nonlinear evolution equations with locally monotone operators ⋮ Periodic solutions for nonresonant parabolic equations on \(\mathbb{R}^N\) with Kato-Rellich type potentials ⋮ Note on the existence theory for pseudo-monotone evolution problems ⋮ Convergence of Fully Discrete Implicit and Semi-implicit Approximations of Singular Parabolic Equations ⋮ On existence of periodic solutions for gradient systems with applications ⋮ On periodic solutions of nonlinear evolution equations in Banach spaces

Cites Work

• Periodic solutions of semilinear equations of evolution of compact type
• Periodic Solutions for Nonlinear Evolution Equations in a Banach Space
• Abstract Nonlinear Volterra Equations with Positive Kernels
• Periodic solutions of semilinear evolution equations
• Existence of Periodic Solutions for Nonlinear Evolution Equations in Hilbert Spaces
• Nonlinear evolution equations with nonmonotonic perturbations
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