Monotone iterative methods for impulsive hyperbolic differential-functional equations

DOI10.1016/0377-0427(95)00209-XzbMath0855.65137OpenAlexW2077989745MaRDI QIDQ1919519

Zdzisław Kamont, Emil Minchev, D. D. Bainov

Publication date: 13 October 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00209-x

zbMATH Keywords

linearizationerror boundsmonotone iterative methodsdifferential-functional inequalitiesimpulsive hyperbolic differential equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) First-order nonlinear hyperbolic equations (35L60) Applications to the sciences (65Z05)

Related Items (13)

Oscillatory solutions of delay hyperbolic system with distributed deviating arguments ⋮ Oscillation of solutions for certain impulsive vector parabolic differential equations with delays ⋮ Oscillation of nonlinear impulsive parabolic differential equations of neutral type ⋮ Some oscillation problems for impulsive hyperbolic differential systems with several delays. ⋮ Nonlinear delay reaction-diffusion equations: traveling-wave solutions in elementary functions ⋮ Oscillation of nonlinear impulsive parabolic equations of neutral type ⋮ Oscillation of nonlinear impulsive hyperbolic equation with several delays ⋮ Some sufficient conditions for oscillation of impulsive delay hyperbolic systems with Robin boundary conditions ⋮ Oscillation of a quasilinear impulsive delay parabolic equation with two different boundary conditions ⋮ On the forced oscillation of solutions for systems of impulsive parabolic differential equations with several delays ⋮ On the unique solvability of a nonlocal boundary-value problem for systems of loaded hyperbolic equations with impulsive actions ⋮ Nonlocal problem for a system of partial differential equations of higher order with pulsed actions ⋮ Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays

Cites Work

• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• On the Chaplygin method for partial differential-functional equations of the first order
• Comparison principles for impulsive parabolic equations with applications to models of single species growth
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