Theory of monotonic transformations applied to optimal design problems

DOI10.1007/BF00248523zbMath0438.73075OpenAlexW1984813593MaRDI QIDQ1142091

Gregory P. Knowles, Richard J. Duffin, Bernard D. Coleman

Publication date: 1980

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00248523

zbMATH Keywords

optimal designobjective functionalcantilevered beams of variable heightcantilevered beams of variable widthflexible cables of variable cross sectionmonotonic transformationsnot affine but are monotonic integral operator

Mathematics Subject Classification ID

Optimization problems in solid mechanics (74P99) Existence theories for free problems in one independent variable (49J05) Optimality conditions for free problems in one independent variable (49K05)

Related Items (1)

The scientific work of Bernard D. Coleman

Cites Work

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• Compactness of integral operators in Banach function spaces
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Representation of Linear Functionals on Köthe Spaces

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