Stability and boundedness criteria for nonlinear differential systems relative to initial time difference and applications

DOI10.1016/j.nonrwa.2007.11.023zbMath1167.37324OpenAlexW2050480161MaRDI QIDQ837696

An Li, Senlin Li, En-Min Feng

Publication date: 20 August 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.11.023

zbMATH Keywords

Lyapunov functioncomparison principleasymptotical stabilitypractical stability

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Stability theory for smooth dynamical systems (37C75)

Related Items (9)

Stability and boundedness of differential equations relative to initial time difference by employing vector Lyapunov functions ⋮ Practical stability, boundedness criteria and Lagrange stability of fuzzy differential systems ⋮ \(h\)-stability for differential systems relative to initial time difference ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Exponential and global stability of nonlinear dynamical systems relative to initial time difference ⋮ Monotone-iterative method for the initial value problem with initial time difference for differential equations with ``maxima ⋮ Stability of impulsive systems depending on a parameter ⋮ Study on the stability of nonlinear differential equations with initial time difference

Cites Work

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• Integro-differential inequalities with initial time difference and applications
• Stochastic optimal control and algorithm of the trajectory of horizontal wells
• Differential Inequalities with Initial Time Difference
• Variation of parameters formulae with initial time difference for linear integrodifferential equations
• Systems of Differential Inequalities with Initial Time Difference
• Perturbing Lyapunov functions and stability criteria for initial time difference.

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