The discrete Lyapunov function for scalar differential delay equations

DOI10.1016/0022-0396(90)90008-DzbMath0717.34086MaRDI QIDQ754055

Yulin Cao

Publication date: 1990

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic exponential expansion

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (10)

A Perron type theorem for functional differential equations ⋮ Absence of small solutions and existence of Morse decomposition for a cyclic system of delay differential equations ⋮ Travelling waves for a size and space structured model in population dynamics: point to sustained oscillating solution connections ⋮ On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation ⋮ Morse decomposition for delay-differential equations with positive feedback ⋮ Asymptotic behavior and oscillation of functional differential equations ⋮ Metastable periodic patterns in singularly perturbed delayed equations ⋮ Nonlinearly determined wavefronts of the Nicholson's diffusive equation: when small delays are not harmless ⋮ Delay-induced switched states in a slow–fast system ⋮ Characterising small solutions in delay differential equations through numerical approximations

Cites Work

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• Some comparison and oscillation results for first-order differential equations and inequalities with a deviating argument
• An example of bifurcation to homoclinic orbits
• Projection series for retarded functional differential equations with applications to optimal control problems
• Small solutions of linear autonomous functional differential equations
• Stability of Solutions of Linear Delay Differential Equations
• Asymptotic behavior of solutions of differential-difference equations.
• A non-linear difference-differential equation.

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