Strongly nonlinear impulsive evolution equations and optimal control

DOI10.1016/j.na.2004.03.025zbMath1065.49023OpenAlexW2043668733MaRDI QIDQ1881338

Pairote Sattayatham

Publication date: 4 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.03.025

zbMATH Keywords

optimal controlLagrange problemscontrol of impulsive evolution equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27) Impulsive optimal control problems (49N25)

Related Items

Existence and uniqueness of classical and mild solutions of generalized impulsive evolution equation ⋮ Periodic boundary value problems for nonlinear impulsive evolution equations on Banach spaces ⋮ Positive solutions for impulsive differential equations with mixed monotonicity and optimal control ⋮ Relaxed control for a class of strongly nonlinear impulsive evolution equations ⋮ Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses ⋮ A study on iterative learning control for impulsive differential equations ⋮ Some results on optimal control with unilateral state constraints ⋮ On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness

Cites Work

• On periodic solutions of nonlinear evolution equations in Banach spaces
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
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