Difference methods for impulsive differential-functional equations

DOI10.1016/0168-9274(95)00006-GzbMath0823.65085OpenAlexW1989472890WikidataQ127293581 ScholiaQ127293581MaRDI QIDQ1891023

Zdzisław Kamont, D. D. Bainov, Emil Minchev

Publication date: 24 October 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00006-g

zbMATH Keywords

stabilityconvergencefinite difference schemefirst-order impulsive partial differential-functional equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Oscillation of solutions of impulsive nonlinear parabolic differential-difference equations ⋮ Difference inequalities generated by impulsive parabolic differential-functional problems ⋮ Stability of the analytic and numerical solutions for impulsive differential equations ⋮ The Euler scheme and its convergence for impulsive delay differential equations

Cites Work

• Analysis of approximation methods for differential and integral equations
• Numerical solution of partial differential equations. Transl. from the German by Peter R. Wadsack
• Extrapolation applied to certain discretization methods solving the initial value problem for hyperbolic differential equations
• On first order impulsive partial differential inequalities
• Accurate partial difference methods. II: Non-linear problems
• Difference methods for non-linear partial differential equations of the first order
• Difference Methods for Non-Linear Partial Differential-Functional Equations of the First Order
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Comparison principles for impulsive parabolic equations with applications to models of single species growth
• On difference inequalities corresponding to partial differential inequalities of the first order
• A difference method for the non-linear partial differential equation of the first order
• A difference method for certain hyperbolic systems of non-linear partial differential equations of the first order
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