Nonlinear evolution variational inequalities with nonmonotone perturbations

DOI10.1016/S0362-546X(96)00181-2zbMath0902.47057OpenAlexW2067220944MaRDI QIDQ4365305

Zhen-Hai Liu

Publication date: 9 December 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00181-2

zbMATH Keywords

variational inequalitiesperturbationinitial value problemintegral transformationpseudomonotone operatorsmonotone operators

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Nonlinear differential equations in abstract spaces (34G20)

Related Items

Existence of Solutions for Nonlinear Implicit Differential Equations: An Equilibrium Problem Approach ⋮ On the existence of anti-periodic solutions for implicit differential equations ⋮ Anti-periodic solutions to nonlinear evolution equations ⋮ A note on a paper by Su Ke and He Zhen ⋮ KKM-Fan's Lemma for solving nonlinear vector evolution equations with nonmonotonic perturbations ⋮ A class of parabolic hemivariational inequalities ⋮ Nonlinear evolution equations by a Ky Fan minimax inequality approach ⋮ Solutions of nonlinear evolution inclusions ⋮ Existence results for equilibrium problems with applications to evolution equations ⋮ Existence for implicit differential equations with nonmonotone perturbations ⋮ Generalized evolution variational inequalities and their applications to partial differential equations

Cites Work

• Existence of solutions for a class of nonlinear evolution equations with nonmonotone perturbations
• Nonlinear evolution equations with nonmonotonic perturbations
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