On the estimate of solutions of perturbed linear differential equations

DOI10.1016/0022-247X(90)90279-OzbMath0727.34040MaRDI QIDQ803365

Takeshi Taniguchi

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

estimate of solutionsperturbed linear differential equation

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30)

Related Items (7)

EXISTENCE AND STABILITY OF SOLUTIONS OF STOCHASTIC SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ Successive approximations to solutions of stochastic differential equations ⋮ Defect-controlled numerical methods and shadowing for chaotic differential equations ⋮ On sufficient conditions for nonexplosion of solutions to stochastic differential equations ⋮ Unnamed Item ⋮ Almost sure exponential stability for stochastic partial functional differential equations^∗ ⋮ Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients

Cites Work

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• On the estimate of solutions of perturbed linear difference equations
• On the stability properties of perturbed linear nonstationary systems
• Continuous and discrete dynamics near manifolds of equilibria
• Stability theorems of stochastic difference equations
• Stability theorems of perturbed linear ordinary differential equations
• On linearly perturbed linear systems
• Extreme stability and almost periodic solutions of functional differential equations
• <tex>L_infty</tex>-stability criteria for interconnected systems using exponential weighting
• <tex>L_{p}</tex>stability of time-varying linear feedback systems

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