Method of integral inequalities in the theory of stability of motion

DOI10.1007/BF00884242zbMath0449.70020OpenAlexW2105764635MaRDI QIDQ3896549

Anatoly Martynyuk

Publication date: 1980

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00884242

zbMATH Keywords

integral inequalitiesqualitative theory of differential equations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Hamiltonian and Lagrangian mechanics (70H99)

Cites Work

• Stability of perturbed Volterra integral equations
• Stability of motion
• A variation of constants formula and Bellman-Gronwall-Reid inequalities
• ASYMPTOTIC PROPERTIES OF POLYNOMIALS AND ALGEBRAIC FUNCTIONS OF SEVERAL VARIABLES
• On Lakshmikantham's comparison method for Gronwall inequalities
• Some stability theorems for systems of volterra integral equations
• Strong stability of perturbed systems of Volterra integral equations
• On the theory of stability of motion
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