On helly's theorem for functions of several variables and its applications to variational problems∗
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Publication:4764877
DOI10.1080/02331939408843996zbMath0817.49007OpenAlexW2015145329MaRDI QIDQ4764877
Dariusz Idczak, Stanislaw Walczak
Publication date: 20 April 1995
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331939408843996
Existence theories for optimal control problems involving partial differential equations (49J20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Related Items (12)
On the controllability to the interval of the system governed by a hyperbolic equation ⋮ On Helly's principle for metric semigroup valued BV mappings to two real variables ⋮ On the existence of optimal solutions to an optimal control problem ⋮ Pointwise selection theorems for metric space valued bivariate functions ⋮ Selection principles for maps of several variables ⋮ On the existence of optimal solutions to the Lagrange problem governed by a nonlinear Goursat-Darboux problem of fractional order ⋮ On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the Fornasini-Marchesini model ⋮ Helly's principle and its application to an infinite-horizon optimal control problem ⋮ A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I ⋮ Maps of several variables of finite total variation. II: E. Helly-type pointwise selection principles ⋮ Maps of several variables of finite total variation. I: Mixed differences and the total variation ⋮ Stability analysis of an optimal control problem for a hyperbolic equation
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