An existence and uniqueness result for semilinear equations with Lipschitz nonlinearity.
Teodorescu, Dinu (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Teodorescu, Dinu (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Verma, Ram U. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Verma, Ram U. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Verma, Ram U. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Lavrent'ev, I.M., Šćepanović, R. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Fierro, Raul, Martinez, Carlos, Morales, Claudio H. (2004)
Fixed Point Theory and Applications [electronic only]
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Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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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).
Lj. Kočinac (1991)
Matematički Vesnik
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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.
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.
K. Gröger (1978)
Banach Center Publications
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Domokos, A. (1997)
Mathematica Pannonica
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Marko Švec (1967)
Colloquium Mathematicae
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Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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