Optimal control problem of positive solutions to second order impulsive differential equations

DOI10.4171/ZAA/1457zbMath1238.49052OpenAlexW2000815397MaRDI QIDQ415188

Noriaki Yamazaki, Cheng-Bo Zhai, Ling-Ling Zhang

Publication date: 11 May 2012

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1457

zbMATH Keywords

positive solutionsfixed point theoremoptimal control problemsecond order impulsive differential equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Existence theories for optimal control problems involving ordinary differential equations (49J15) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Impulsive optimal control problems (49N25)

Related Items (5)

\(\varphi\)-\((h,e)\)-concave operators and applications ⋮ Fixed point results in set \(P_{h,e}\) with applications to fractional differential equations ⋮ Positive solutions for impulsive differential equations with mixed monotonicity and optimal control ⋮ Positive solutions for singular impulsive Dirichlet boundary value problems ⋮ Unnamed Item

Cites Work

• Positive solutions to second order four-point boundary value problems for impulsive differential equations
• Existence of solutions of boundary value problems for nonlinear second order impulsive differential equations in Banach spaces
• A class of \(n^{\text{th}}\)-order impulsive integrodifferential equations in Banach spaces.
• Existence and uniqueness of positive fixed points for noncompact decreasing operators
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