Averaging dynamic equations on time scales

DOI10.1016/J.JMAA.2011.10.043zbMath1232.34125OpenAlexW2084161211MaRDI QIDQ663650

Antonín Slavík

Publication date: 27 February 2012

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.2011.10.043

zbMATH Keywords

periodic solutionsaveraging methodgeneralized ordinary differential equationsnonperiodic averagingperiodic averagingperiodic time scales

Mathematics Subject Classification ID

Dynamic equations on time scales or measure chains (34N05)

Related Items (14)

Existence of periodic solutions of dynamic equations on time scales by averaging ⋮ On some nonlinear retarded Volterra-Fredholm type integral inequalities on time scales and their applications ⋮ Some generalized Volterra-Fredholm type dynamical integral inequalities in two independent variables on time scale pairs ⋮ Nonlinear retarded integral inequalities on time scales and their applications ⋮ A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications ⋮ Almost automorphic solutions of dynamic equations on time scales ⋮ Periodic averaging theorems for various types of equations ⋮ Averaging of multicriteria control problems of systems on time scales ⋮ Variational approach to second-order impulsive dynamic equations on time scales ⋮ Some new half-linear integral inequalities on time scales and applications ⋮ HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS ⋮ LaSalle stationary oscillation theorem for affine periodic dynamic systems on time scales ⋮ A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales ⋮ Averaging of the problem of optimal control on time scales

Cites Work

• Dynamic equations on time scales and generalized ordinary differential equations
• Periodic averaging theorems for various types of equations
• Averaging in the theory of finite-difference equations
• Generalized ordinary differential equations and continuous dependence on a parameter
• First-Order Averaging Principles for Maps with Applications to Accelerator Beam Dynamics
• Real Mathematical Analysis
• Averaging methods in nonlinear dynamical systems
• Averaging methods in nonlinear dynamical systems
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