About the inverse operations on the hyperespace of nonlinear monotone operators.
Hassan Riahi (1993)
Extracta Mathematicae
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Hassan Riahi (1993)
Extracta Mathematicae
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Dimitrios A. Kandilakis (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.
Rawla, M.S., Aujla, J.S. (2001)
Rendiconti del Seminario Matematico
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Jan Franců (1990)
Aplikace matematiky
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The paper deals with the existence of solutions of the form with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions and . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition . The second part which has a character of a survey compares various...
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).
Fierro, Raul, Martinez, Carlos, Morales, Claudio H. (2004)
Fixed Point Theory and Applications [electronic only]
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K. Gröger (1978)
Banach Center Publications
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Eduardo H. Zarantonello (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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