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

DOI10.1016/0362-546X(94)90007-8zbMath0806.34051OpenAlexW2059169954MaRDI QIDQ4289318

Nasir Uddin Ahmed, Xiaoling Xiang

Publication date: 6 February 1995

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

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90007-8

zbMATH Keywords

existenceHilbert spacenonlinear differential equations in abstract spaces

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20)

Related Items (18)

Continuous solutions for fractional integral inclusion in locally convex topological space ⋮ A one dimensional heat equation with mixed boundary conditions ⋮ Approximate controllability and regularity for nonlinear differential equations ⋮ Regularity for variational evolution integrodifferential inequalities ⋮ Existence of Solutions for Nonlinear Implicit Differential Equations: An Equilibrium Problem Approach ⋮ Nonlinear evolution variational inequalities with nonmonotone perturbations ⋮ Controllability for nonlinear evolution equations with monotone operators ⋮ Nonmonotone, nonlinear evolution inclusions ⋮ Noncoercive mixed equilibrium problems under pseudomonotone perturbations and applications to nonlinear evolution equations with lack of coercivity ⋮ Monotonicity methods for nonlinear evolution equations ⋮ Existence and uniqueness of solutions for gradient systems without a compactness embedding condition ⋮ A note on a paper by Su Ke and He Zhen ⋮ KKM-Fan's Lemma for solving nonlinear vector evolution equations with nonmonotonic perturbations ⋮ 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 ⋮ Regularity for solutions of nonlinear evolution equations with nonlinear perturbations ⋮ Fixed point theorems for cyclic operators with application in fractional integral inclusions with delays

Cites Work

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• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• An existence result for a class of nonlinear evolution equations in Banach spaces
• Nonlinear evolution equations with nonmonotonic perturbations
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces

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