On monotone solutions of linear advanced equations.
Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Monotone solutions of some differential equations”
On monotone solutions of linear advanced equations.
On monotone and pointwise splittability
Lj. Kočinac (1991)
Matematički Vesnik
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Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions
Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Existence Of Monotone, ψ-Minimal Solutions Of Differential Inclusions
Nikolaos S. Papageorgiou (1991)
Publications de l'Institut Mathématique
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Monotone normality and extension of functions
Ian Stares (1995)
Commentationes Mathematicae Universitatis Carolinae
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
On absolutely monotone set-valued functions
Andrzej Smajdor (2006)
Annales Polonici Mathematici
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We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).
A Cantor set in the plane that is not σ-monotone
Aleš Nekvinda, Ondřej Zindulka (2011)
Fundamenta Mathematicae
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A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.
The use of monotone norms in epigraphical analysis.
Volle, M. (1994)
Journal of Convex Analysis
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Monotone trajectories of differential inclusions in Banach spaces.
Malaguti, Luisa (1996)
Journal of Convex Analysis
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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 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.