A change of variables in the asymptotic theory of differential equations with unbounded delays
From MaRDI portal
Publication:1612331
DOI10.1016/S0377-0427(01)00500-3zbMath1016.34077MaRDI QIDQ1612331
Publication date: 22 August 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Asymptotic theory of functional-differential equations (34K25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Functional equations and inequalities (39B99)
Related Items (9)
Exponential solutions of equation \(\dot y(t)=\beta(t)[y(t-\delta)-y(t-\tau)\)] ⋮ Existence of strictly decreasing positive solutions of linear differential equations of neutral type ⋮ A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay ⋮ General decay pathwise stability of neutral stochastic differential equations with unbounded delay ⋮ Unnamed Item ⋮ Asymptotic stability of nonlinear systems with unbounded delays ⋮ Positive solutions of \(p\)-type retarded functional differential equations ⋮ Asymptotically exponential solutions in nonlinear integral and differential equations ⋮ Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A change of variables for functional differential equations
- Some observations on the asymptotic behaviour of the solutions of the equation \(\dot x=A(t)x(\lambda t)+B(t)x(t)\) \(\lambda >0\)
- On simultaneous Abel equations
- The asymptotic bounds of solutions of linear delay systems
- Regular solutions of the Shabat equation
- Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))\)]
- Functional-differential equations with compressed arguments and polynomial coefficients: Asymptotics of the solutions
- Transformation and canonical forms of functional-differential equations
- The infinite-dimensional dressing dynamical system
- On the generalized pantograph functional-differential equation
- 2.—The Matrix Functional Differential Equation y′(x) = Ay(λx) + By(x)
- Asymptotic Bounds of Solutions of the Functional Differential Equation $x'(t) = ax(\lambda t) + bx(t) + f(t),\quad 0 < \lambda < 1$
- On the limits of solutions of functional differential equations
- On the delay differential equation y'(x) = ay(τ(x)) + by(x)
This page was built for publication: A change of variables in the asymptotic theory of differential equations with unbounded delays
