On the existence of solutions for a class of second-order differential inclusions and applications

DOI10.1016/j.jmaa.2011.06.069zbMath1237.34118OpenAlexW2005414238MaRDI QIDQ641609

Nguyen Van Loi, Valerii V. Obukhovskij

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.069

zbMATH Keywords

Schrödinger equationsboundary value problempartial differential inclusionguiding functionfeedback control systemsecond-order differential inclusion

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear boundary value problems for ordinary differential equations (34B15) Evolution inclusions (34G25)

Related Items

On controllability of Duffing equation, Existence results for implicit nonlinear second-order differential inclusions

Cites Work

• A selection of oscillation criteria for second-order differential inclusions
• Strictly localized bounding functions for vector second-order boundary value problems
• Existence of solutions to boundary value problems for impulsive second order differential inclusions
• Controllability of second-order differential inclusions in Banach spaces with nonlocal conditions
• Periodic problems for strongly nonlinear second-order differential inclusions
• A global bifurcation theorem for convex-valued differential inclusions
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• Oscillation theorems for second order differential inclusions
• A control problem governed by a second-order differential inclusion
• Guiding Functions and Periodic Solutions to Functional Differential Equations
• The Operator of Translation Along the Trajectories of Differential Equations
• Topological Fixed Point Theory of Multivalued Mappings
• On decreasing sequences of compact absolute retracts
• Ordinary Differential Equations
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