Nonlinear variation of parameters formula for impulsive differential equations with initial time difference and application

DOI10.1155/2014/725832zbMath1474.34075OpenAlexW2023764497WikidataQ59040958 ScholiaQ59040958MaRDI QIDQ1724829

Peiguang Wang, Xiao-Wei Liu

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/725832

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

Existence and nonexistence of positive solutions for fractional integral boundary value problem with two disturbance parameters

Cites Work

• Practical stability in terms of two measures with initial time difference
• Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference
• Another approach to the theory of differential inequalities realtive to changes in the initial times
• Differential inequalities with initial time difference and applications
• Integro-differential inequalities with initial time difference and applications
• 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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