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Quasimonotonicity as a Tool for Differential and Functional Inequalities

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Inequalities and Applications 2010

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 161))

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References

  1. Karol Baron and Peter Volkmann, Characterization of quasimonotonicity by means of functional inequalities. Sem. LV, No. 22, 5 pp. (2005), http://www.math.us.edu.pl/smdk

  2. Gerd Herzog, Quasimonotonicity. Nonlinear Analysis 47, 2213–2224 (2001).

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  3. Włodzimierz Mlak, Differential inequalities of parabolic type. Ann. Polon. Math. 3, 349–354 (1957).

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  5. Alice Simon and Peter Volkmann, Parabolic inequalities in ordered topological vector spaces. Nonlinear Analysis 25, 1051–1054 (1995).

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  6. Peter Volkmann, Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. Math. Z. 127, 157–164 (1972).

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  8. Wolfgang Walter, Differential and integral inequalities. Springer Berlin 1970. German edition: Differential- und Integral-Ungleichungen. Ibid. 1964.

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Author information

Authors and Affiliations

  1. Institut für Analysis, KIT, 76128, Karlsruhe, Germany

    Peter Volkmann

  2. Instytut Matematyki, Uniwersytet Śla̧ski, Bankowa 14, 40-007, Katowice, Poland

    Peter Volkmann

Authors
  1. Peter Volkmann
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, University of Basel, Rheinsprung 21, Basel, 4051, Switzerland

    Catherine Bandle

  2. Faculty of Informatics, University of Debrecen, Pf. 12, Debrecen, 4010, Hungary

    Attila Gilányi

  3. Department of Economic Analysis, and Information Technology for Business, University of Debrecen, Kassai út 26, Debrecen, 4028, Hungary

    László Losonczi

  4. , Institute of Analysis, KIT, Kaiserstr. 12, Karlsruhe, 76128, Germany

    Michael Plum

Additional information

Dedicated to the Memory of Wolfgang Walter, May 2, 1927 - June 26, 2010

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Volkmann, P. (2012). Quasimonotonicity as a Tool for Differential and Functional Inequalities. In: Bandle, C., Gilányi, A., Losonczi, L., Plum, M. (eds) Inequalities and Applications 2010. International Series of Numerical Mathematics, vol 161. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0249-9_21

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