Generalized solutions of operator equations and extreme elements

DOI10.1007/978-1-4614-0619-8zbMath1240.47002OpenAlexW1260549156MaRDI QIDQ636727

Juan-Miguel Gracia

Publication date: 29 August 2011

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-0619-8

zbMATH Keywords

optimizationwave equationmetric spaceBanach spacenonlinear equationgeneralized solutioncompletionNeumann seriestopological vector spaceuniform structureVolterra integral equation of the first kindlinear unbounded operatorHoteling methodinfinite system of linear equationspartial differential equation of parabolic typeSchultz's method

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Applications of operator theory to differential and integral equations (47N20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Numerical solutions to equations with nonlinear operators (65J15) Existence theories for problems in abstract spaces (49J27) Uniform structures and generalizations (54E15) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

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