Controllability of semilinear boundary problems with nonlocal initial conditions

DOI10.1016/j.jmaa.2005.05.006zbMath1105.34036OpenAlexW2094327256MaRDI QIDQ819733

N. E. Zubov

Publication date: 29 March 2006

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.2005.05.006

zbMATH Keywords

nonlocal initial conditionsfixed-point theoremevolution familiespopulation equationsboundary exact controllabilitysemilinear nonautonomous problems

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Control problems involving ordinary differential equations (34H05) Boundary value problems for ordinary differential equations (34B99)

Related Items (13)

Maximal controllability for boundary control problems ⋮ Mild solution and constrained local controllability of semilinear boundary control systems ⋮ Stability and local attractivity for non-autonomous boundary Cauchy problems ⋮ APPROXIMATE CONTROLLABILITY OF POPULATION DYNAMICS WITH SIZE DEPENDENCE AND SPATIAL DISTRIBUTION ⋮ Asymptotic to systems with memory and non-local initial data ⋮ Exact controllability of fractional order evolution equations in Banach spaces ⋮ Existence of solutions for a class of nonlinear evolution inclusions with nonlocal conditions ⋮ Nonlocal cauchy problems and their controllability for semilinear differential inclusions with lower Scorza-Dragoni nonlinearities ⋮ Existence results and asymptotic behavior for nonlocal abstract Cauchy problems ⋮ On the nonlocal Cauchy problem for semilinear fractional order evolution equations ⋮ Periodic solutions for some nonautonomous semilinear boundary evolution equations ⋮ Controllability of semilinear differential systems with nonlocal initial conditions in Banach spaces ⋮ Well-posedness and stability of non-autonomous semilinear input-output systems

Cites Work

• Controllability results for semilinear evolution inclusions with nonlocal conditions
• Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Boundary controllability of differential equations with nonlocal condition
• Global existence for semilinear evolution equations with nonlocal conditions
• Existence of solutions of nonlinear integrodifferential equation with nonlocal condition
• Positive global solutions for a general model of size-dependent population dynamics
• Local existence for a general model of size-dependent population dynamics
• Controllability of nonlinear systems in Banach spaces: a survey
• Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems
• Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
• An approach to non-linear control problems using fixed-point methods, degree theory and pseudo-inverses.
• Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems
• Semilinear integrodifferential equations with nonlocal cauchy problem
• Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Controllability of semilinear boundary problems with nonlocal initial conditions