On the asymptotics of the trapezoidal rule for the pantograph equation

DOI10.1090/S0025-5718-09-02245-5zbMath1198.65112MaRDI QIDQ3055190

Jiří Jánský, Jan Čermák

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviortrapezoidal rulepantograph equation

Mathematics Subject Classification ID

Related Items (5)

Stability of collocation methods for delay differential equations with vanishing delays ⋮ The asymptotic behaviour of theθ-methods with constant stepsize for the generalized pantograph equation ⋮ Closed‐form solutions of second‐order linear difference equations close to the self‐adjoint Euler type ⋮ On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations ⋮ Asymptotic bounds for linear difference systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A family of solutions of the IVP for the equation \(x'(t)=ax(\lambda t), \lambda>1\)
• A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
• A change of variables for functional differential equations
• Exact and discretized stability of the pantograph equation
• Numerical investigation of the pantograph equation
• The asymptotic of solutions for a class of delay differential equations
• Asymptotic behavior of solutions of the functional differential equation \(x'(t)=ax(t)+bx(t^\alpha), a>1\)
• On the \(\theta\)-method for delay differential equations with infinite lag
• Stability of Runge-Kutta methods for the generalized pantograph equation
• Delay equations on time scales: Essentials and asymptotics of the solutions
• On the generalized pantograph functional-differential equation
• The functional-differential equation y′(t)=Ay(t) +By(qt) +Cy′(qt) +f(t)
• On the asymptotic behavior of the pantograph equations
• ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE FUNCTIONAL DIFFERENTIAL EQUATION y′(x) = ay(λx) + by(x)
• Numerical Methods for Delay Differential Equations
• Asymptotic behaviour of functional-differential equations with proportional time delays
• Stability of the Discretized Pantograph Differential Equation
• The stability of modified Runge-Kutta methods for the pantograph equation
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• Discretized Stability and Error Growth of The Nonautonomous Pantograph Equation

This page was built for publication: On the asymptotics of the trapezoidal rule for the pantograph equation