Boundary controllability of differential equations with nonlocal condition

DOI10.1006/jmaa.1998.6199zbMath0917.93009OpenAlexW2007506203MaRDI QIDQ1284036

Jong Yeoul Park, Hyo Keun Han

Publication date: 2 August 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6199

zbMATH Keywords

Banach fixed-point theoremnonlocal conditionsglobal exact boundary controllabilitysemilinear abstract dynamical systems

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Control/observation systems in abstract spaces (93C25)

Related Items (20)

Controllability of semilinear boundary problems with nonlocal initial conditions ⋮ Controllability of impulsive evolution inclusions with nonlocal conditions ⋮ Regularity for semilinear nonlocal problems with boundary input maps ⋮ A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations ⋮ On the approximate boundary controllability of some partial functional integrodifferential equations with finite delay in Banach spaces ⋮ Approximate boundary controllability for semilinear delay differential equations ⋮ Boundary controllability of non-linear stochastic differential inclusions ⋮ Approximate boundary controllability of Sobolev-type stochastic differential systems ⋮ Controllability results for second order neutral impulsive integrodifferential systems ⋮ Boundary Controllability of Delay Differential Systems of Fractional Order with Nonlocal Condition ⋮ Boundary controllability of integrodifferential systems in Banach spaces ⋮ Controllability for functional differential and integrodifferential inclusions in Banach spaces ⋮ Controllability of evolution inclusions with nonlocal conditions ⋮ Controllability for an infinite-time horizon of second-order differential inclusions in Banach spaces with nonlocal conditions ⋮ Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces ⋮ Controllability of nonlinear systems in Banach spaces: a survey ⋮ Controllability of second-order differential inclusions in Banach spaces with nonlocal conditions ⋮ First-order differential inclusions with nonlocal initial conditions ⋮ Controllability of nonlinear differential equations in Banach space with nonlocal conditions ⋮ Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems

Cites Work

• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Controllability of nonlinear integrodifferential systems in Banach space
• An approach to non-linear control problems using fixed-point methods, degree theory and pseudo-inverses.
• A Bound on the Boundary Input Map for Parabolic Equations with Application to Time Optimal Control
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