Asymptotic solution of two-point boundary value problems

DOI10.1016/0021-8928(80)90032-5zbMath0466.49013OpenAlexW2018711697MaRDI QIDQ1155237

L. D. Akulenko

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90032-5

zbMATH Keywords

maximum principleasymptotic solutionnecessary conditions of optimalitytwo-point boundary value problemsoptimal oscillating processes

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

Averaging in a quasilinear system with a strongly varying frequency ⋮ Study of the quasilinear oscillations of mechanical systems with distributed and lumped parameters ⋮ Optimization of a quadratic performance index on solutions of nonlinear two-point boundary-value problems

Cites Work

• Investigation of certain optimal systems by the averaging method
• Approximate solution of nonlinear problems of optimal control of oscillatory processes using the method of canonical separation of motions
• Approximate calculation of optimal control problems
• AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
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