On Nonlinear Delay Differential Equations

DOI10.2307/2154725zbMath0804.34065OpenAlexW4256517140MaRDI QIDQ4305910

Arieh Iserles

Publication date: 15 September 1994

Full work available at URL: https://doi.org/10.2307/2154725

zbMATH Keywords

uniform boundednessperiodicityasymptotic stabilityDirichlet seriesnonlinear delay differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (16)

New iterative method based on Laplace decomposition algorithm ⋮ Exact and discretized stability of the pantograph equation ⋮ Stability of collocation methods for delay differential equations with vanishing delays ⋮ Analytical study of the pantograph equation using Jacobi theta functions ⋮ On the probabilistic representations of solutions of pantograph equations and triangle coefficients ⋮ General decay pathwise stability of neutral stochastic differential equations with unbounded delay ⋮ A leray-schauder type theorem and applications to boundary value problems for neutral equations ⋮ Asymptotic behaviour of functional-differential equations with proportional time delays ⋮ Bernstein collocation method for neutral type functional differential equation ⋮ On neutral functional-differential equations with proportional delays ⋮ Asymptotical stability of numerical methods with constant stepsize for pantograph equations ⋮ Recent advances in the numerical analysis of Volterra functional differential equations with variable delays ⋮ Finite-time stability of impulsive pantograph systems with applications ⋮ Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays ⋮ Regular solutions of the Shabat equation ⋮ Asymptotic stability of nonlinear functional differential equations

Cites Work

• On the generalized pantograph functional-differential equation
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
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