A semilinear perturbation of the identity in Hilbert spaces.
Teodorescu, Dinu (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Displaying similar documents to “An existence and uniqueness result for semilinear equations with Lipschitz nonlinearity.”
A semilinear perturbation of the identity in Hilbert spaces.
Generalized -resolvent operator technique and sensitivity analysis for relaxed cocoercive variational inclusions.
Verma, Ram U. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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-monotonicity and applications to nonlinear variational inclusion problems.
Verma, Ram U. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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On the solution of a class of equations with monotone operators by iteration and projection-iteration
K. Gröger (1978)
Banach Center Publications
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Sensitivity analysis for relaxed cocoercive nonlinear quasivariational inclusions.
Verma, Ram U. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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On strongly monotone flows
Wolfgang Walter (1997)
Annales Polonici Mathematici
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M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
The solvability of a new system of nonlinear variational-like inclusions.
Liu, Zeqing, Liu, Min, Ume, Jeong Sheok, Kang, Shin Min (2009)
Fixed Point Theory and Applications [electronic only]
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Perturbed iterative approximation of solutions for nonlinear general -monotone operator equations in Banach spaces.
Wei, Xing, Lan, Heng-You, Zhang, Xian-Jun (2009)
Journal of Inequalities and Applications [electronic only]
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Periodic solutions for quasilinear vector differential equations with maximal monotone terms
Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.
A DSM proof of surjectivity of monotone nonlinear mappings
A. G. Ramm (2009)
Annales Polonici Mathematici
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A simple proof is given of a basic surjectivity result for monotone operators. The proof is based on the dynamical systems method (DSM).
Parametric monotone generalized equations in reflexive Banach spaces.
Domokos, A. (1997)
Mathematica Pannonica
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The aftermath of the intermediate value theorem.
Fierro, Raul, Martinez, Carlos, Morales, Claudio H. (2004)
Fixed Point Theory and Applications [electronic only]
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A-monotone nonlinear relaxed cocoercive variational inclusions
Ram Verma (2007)
Open Mathematics
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Based on the notion of A - monotonicity, a new class of nonlinear variational inclusion problems is presented. Since A - monotonicity generalizes H - monotonicity (and in turn, generalizes maximal monotonicity), results thus obtained, are general in nature.