Approximate controllability of the nonlinear third-order dispersion equation

DOI10.1016/j.amc.2011.03.054zbMath1225.93028OpenAlexW2072731016MaRDI QIDQ546010

Rathinasamy Sakthivel, Yong Ren, Nazim Idris Mahmudov

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.054

zbMATH Keywords

approximate controllabilityKorteweg-de Vries equationsemigroup theoryfixed-point theoremnonlinear dispersion system

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) PDEs in connection with control and optimization (35Q93)

Related Items

Lipschitz perturbations of a class of approximately controllable linear systems, Controllability of nonlinear neutral fractional impulsive differential inclusions in Banach space, Local exact controllability to the trajectories of Burgers-Fisher equation, Approximate controllability of third order dispersion systems, Controllability of nonlinear neutral stochastic differential inclusions with infinite delay, On approximate controllability of functional impulsive evolution inclusions in a Hilbert space, Approximate controllability of stochastic nonlinear third‐order dispersion equation, On the approximate controllability of fractional evolution equations with compact analytic semigroup, Approximate controllability of fractional partial differential equation, Controllability of Semilinear Dispersion Equation

Cites Work

• Exact controllability of the nonlinear third-order dispersion equation
• Controllability of nonlinear integro-differential third order dispersion system
• Semigroups of linear operators and applications to partial differential equations
• Approximate controllability for a class of abstract second-order functional evolution equations
• Approximate controllability of evolution systems with nonlocal conditions
• Exact Boundary Controllability of the Korteweg--de Vries Equation
• Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
• Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain