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Periodic solutions of nonlinear evolution equations with $$W_{\lambda _0 } $$ -pseudomonotone maps
Nonlinear Oscillations, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kas'yanov, P. O. +2 more
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Complementarity problems over cones with monotone and pseudomonotone maps
Journal of Optimization Theory and Applications, 1976The notion of a monotone map is generalized to that of a pseudomonotone map. It is shown that a differentiable, pseudoconvex function is characterized by the pseudomonotonicity of its gradient. Several existence theorems are established for a given complementarity problem over a certain cone where the underlying map is either monotone or pseudomonotone
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Pseudomonotone or weakly continuous mappings
2012The basic modern approach to boundary-value problems in differential equations of the type (0.1)–(0.2) is the so-called energy-method technique which took the name after a-priori estimates having sometimes physical analogies as bounds of an energy.1 This technique originated from modern theory of linear partial differential equations where, however ...
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Differential-operator inclusions and multivariational inequalities with pseudomonotone mappings
Cybernetics and Systems Analysis, 2010The author investigates functional-topological properties of resolving operators of differential inclusions and multi-variational inequalities with quasi-monotone mappings.
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Evolution by pseudomonotone or weakly continuous mappings
2012As already advertised in the previous Chapter 7, evolution problems involve one variable, a time t, having a certain specific character and thus a specific treatment is useful, although some methods (applicable under special circumstances, see Sections 8.9 and 8.10) can wipe this specific character off.
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Ukrainian Mathematical Journal, 2008
We consider a class of differential-operator inequalities with noncoercive $w_{{{\rm{\lambda}}_{0}}}$ -pseudomonotone operators. The problem of existence of a solution of the Cauchy problem for these inequalities is investigated by the Dubinskii method.
P. O. Kas’yanov, V. S. Mel’nyk
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We consider a class of differential-operator inequalities with noncoercive $w_{{{\rm{\lambda}}_{0}}}$ -pseudomonotone operators. The problem of existence of a solution of the Cauchy problem for these inequalities is investigated by the Dubinskii method.
P. O. Kas’yanov, V. S. Mel’nyk
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Faedo–galerkin method for second-order evolution inclusions with W λ-pseudomonotone mappings
Ukrainian Mathematical Journal, 2009A class of second-order operator differential inclusions with W λ-pseudomonotone mappings is considered. The problem of the existence of solutions of the Cauchy problem for these inclusions is investigated by using the Faedo–Galerkin method. Important a priori estimates are obtained for solutions and their derivatives.
N. V. Zadoyanchuk, P. O. Kas’yanov
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Journal of Optimization Theory and Applications, 2014
Let \((X,X^*)\) be a dual pair with \(X\) being a reflexive real Banach space. Let \(K\) be a nonempty subset of \(X\). A map \(A:K \rightarrow X^*\) is called Brezis-pseudomonotone if the function \(u \mapsto (Au,u-v)\) is lower bounded on bounded subsets of \(K\) for all \(v \in K\) and, for any sequence \(\{u_n\}\) weakly convergent to \(u \in K ...
Sadeqi, I., Salehi Paydar, Mitra
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Let \((X,X^*)\) be a dual pair with \(X\) being a reflexive real Banach space. Let \(K\) be a nonempty subset of \(X\). A map \(A:K \rightarrow X^*\) is called Brezis-pseudomonotone if the function \(u \mapsto (Au,u-v)\) is lower bounded on bounded subsets of \(K\) for all \(v \in K\) and, for any sequence \(\{u_n\}\) weakly convergent to \(u \in K ...
Sadeqi, I., Salehi Paydar, Mitra
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Periodic solutions of nonlinear evolution equations with W?????-pseudomonotone maps
2021???????????????????? ????????????????i??????????-??????????????????i ??i???????????? ?? W????? -?????????????????????????????????? ??????????????????????. ????????????????????? ???????????????? ???????????????? ??????i?????????????? ?????????????????i?? ?????????????? ?????????? ??? ??????????????i????. ???????????????? ????????????i ??????i??????i ????
Kasyanov, P.O. +2 more
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Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant
2006In this paper we will establish some necessary and/or sufficient conditions for both a nonsingular and a singular matrix A (interpreted as a linear map) to be pseudomonotone. The given results are in terms of the sign of the determinants of the principal submatrices and of the cofactors of A in the nonsingular case and in terms of the structure of A in
MARTEIN, LAURA, CAMBINI A.
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