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Volume 30, 1994 - Issue 4

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On helly's theorem for functions of several variables and its applications to variational problems Footnote^∗
Supported by KBN grant 211029101

D. Idczak Institute of Mathematics, Lódź University, UI Stefana Banacha 22, Lódź, 90-238, Poland

S. Walczak Institute of Mathematics, Lódź University, UI Stefana Banacha 22, Lódź, 90-238, Poland

Pages 331-343 | Published online: 10 Jun 2010

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https://doi.org/10.1080/02331939408843996

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Vyacheslav V. Chistyakov & Svetlana A. Chistyakova. (2017) Pointwise selection theorems for metric space valued bivariate functions. Journal of Mathematical Analysis and Applications 452:2, pages 970-989.
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Dorota Bors & Marek Majewski. (2012) On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the Fornasini-Marchesini model. Multidimensional Systems and Signal Processing 24:4, pages 657-665.
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Vyacheslav V. Chistyakov & Yuliya V. Tretyachenko. (2010) Maps of several variables of finite total variation. I. Mixed differences and the total variation. Journal of Mathematical Analysis and Applications 370:2, pages 672-686.
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Vyacheslav V. Chistyakov & Yuliya V. Tretyachenko. (2010) Maps of several variables of finite total variation. II. E. Helly-type pointwise selection principles. Journal of Mathematical Analysis and Applications 369:1, pages 82-93.
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V. V. Chistyakov & Yu. V. Tretyachenko. (2010) Selection principles for maps of several variables. Doklady Mathematics 81:2, pages 282-285.
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Dorota Bors & Marek Majewski. (2009) On the controllability to the interval of the system governed by a hyperbolic equation. Kybernetes 38:7/8, pages 1182-1190.
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D. Bogusz. (2007) Helly’s Principle and Its Application to an Infinite-Horizon Optimal Control Problem. Journal of Optimization Theory and Applications 134:3, pages 371-383.
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M. Majewski. (2006) On the Existence of Optimal Solutions to an Optimal Control Problem. Journal of Optimization Theory and Applications 128:3, pages 635-651.
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Vyacheslav V. Chistyakov. (2005) A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I. Nonlinear Analysis: Theory, Methods & Applications 62:3, pages 559-578.
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V. V. Chistyakov. (2005) Abstract Superposition Operators on Mappings of Bounded Variation of Two Real Variables. I. Siberian Mathematical Journal 46:3, pages 555-571.
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M. Balcerzak, S. A. Belov & V. V. Chistyakov. (2009) On Helly's principle for metric semigroup valued BV mappings to two real variables. Bulletin of the Australian Mathematical Society 66:2, pages 245-257.
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On helly's theorem for functions of several variables and its applications to variational problems Footnote^∗
Supported by KBN grant 211029101

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On helly's theorem for functions of several variables and its applications to variational problems Footnote∗Supported by KBN grant 211029101

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On helly's theorem for functions of several variables and its applications to variational problems Footnote^∗
Supported by KBN grant 211029101