Stability of analytic and numerical solutions for differential equations with piecewise continuous arguments

DOI10.1155/2012/258329zbMath1244.34097OpenAlexW2166741030WikidataQ58696142 ScholiaQ58696142MaRDI QIDQ417115

Minghui Song, Ming-Zhu Liu

Publication date: 14 May 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/258329

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06)

Related Items (3)

Euler-Maclaurin method for linear differential equations with piecewise constant arguments with one delay: stability and oscillations ⋮ Stability of Runge-Kutta methods for linear impulsive delay differential equations with piecewise constant arguments ⋮ Analytical and numerical stability of partial differential equations with piecewise constant arguments

Cites Work

• Delay differential equations: with applications in population dynamics
• Retarded differential equations with piecewise constant delays
• Advanced differential equations with piecewise constant argument deviations
• Introduction to functional differential equations
• Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
• Stability of Runge-Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0} u([t)+a_{1} u([t-1])\)]
• Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
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