On convexity of solutions of ordinary differential equations

M. Keller-Ressel; E. Mayerhofer; A. G. Smirnov

doi:10.1016/j.jmaa.2010.03.008

On convexity of solutions of ordinary differential equations

M. Keller-Ressel
, E. Mayerhofer
, A. G. Smirnov

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a result on the convex dependence of solutions of ordinary differential equations on an ordered finite-dimensional real vector space with respect to the initial data.

Original language	English
Pages (from-to)	247-253
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	368
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2010.03.008
Publication status	Published - Aug 2010
Externally published	Yes

Keywords

Convexity
Initial value problem
Ordered linear spaces
Quasi-monotonicity

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10.1016/j.jmaa.2010.03.008

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title = "On convexity of solutions of ordinary differential equations",

abstract = "We prove a result on the convex dependence of solutions of ordinary differential equations on an ordered finite-dimensional real vector space with respect to the initial data.",

keywords = "Convexity, Initial value problem, Ordered linear spaces, Quasi-monotonicity",

author = "M. Keller-Ressel and E. Mayerhofer and Smirnov, \{A. G.\}",

year = "2010",

month = aug,

doi = "10.1016/j.jmaa.2010.03.008",

language = "English",

volume = "368",

pages = "247--253",

journal = "Journal of Mathematical Analysis and Applications",

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T1 - On convexity of solutions of ordinary differential equations

AU - Keller-Ressel, M.

AU - Mayerhofer, E.

AU - Smirnov, A. G.

PY - 2010/8

Y1 - 2010/8

N2 - We prove a result on the convex dependence of solutions of ordinary differential equations on an ordered finite-dimensional real vector space with respect to the initial data.

AB - We prove a result on the convex dependence of solutions of ordinary differential equations on an ordered finite-dimensional real vector space with respect to the initial data.

KW - Convexity

KW - Initial value problem

KW - Ordered linear spaces

KW - Quasi-monotonicity

UR - https://www.scopus.com/pages/publications/77951205275

U2 - 10.1016/j.jmaa.2010.03.008

DO - 10.1016/j.jmaa.2010.03.008

M3 - Article

AN - SCOPUS:77951205275

SN - 0022-247X

VL - 368

SP - 247

EP - 253

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

On convexity of solutions of ordinary differential equations

Abstract

Keywords

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