Extreme continuous selectors of multivalued maps and their applications

DOI10.1006/JDEQ.1995.1143zbMath0836.34018OpenAlexW2026516227MaRDI QIDQ1903034

A. A. Tolstonogov

Publication date: 5 December 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1143

zbMATH Keywords

Banach spaceextreme solutionscontinuous selectorsset-valued map

Mathematics Subject Classification ID

Set-valued functions (26E25) Nonlinear differential equations in abstract spaces (34G20) Selections in general topology (54C65) Ordinary differential inclusions (34A60)

Related Items (13)

Systems of variational inclusion problems and differential inclusion problems with applications ⋮ Optimal chaotic selectors ⋮ Weak and generic bang-bang properties for continuous evolution inclusions and Baire's method ⋮ \(L_p\)-Continuous selections of fixed points of~multifunctions with~ decomposable values. ~II. Relaxation theorems ⋮ Existence and relaxation theorems for extreme continuous selectors of multifunctions with decomposable values ⋮ Periodic solutions for nonlinear differential inclusions with multivalued perturbations ⋮ Baire's category and the bang-bang property for evolution differential inclusions of contractive type ⋮ Extremal solutions and relaxation problems for fractional differential inclusions ⋮ Density of the extremal solutions for a class of second order boundary value problem ⋮ Toward a mathematical holographic principle ⋮ Baire's category in existence problems for non-convex lower semicontinuous evolution differential inclusions ⋮ Relaxation theorem for the evolution differential inclusions ⋮ \(L_p\)-Continuous selections of fixed points of multifunctions with decomposable values. I: Existence theorems

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