Comparison ODE theorems related to the method of lines

DOI10.1515/JAA.2011.009zbMath1276.34065OpenAlexW1964969087MaRDI QIDQ2865583

Henryk Leszczyński

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2011.009

zbMATH Keywords

comparisonuniquenessfunctional dependenceODEDAEMOL

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for boundary value problems involving PDEs (65N40) Functional-differential inequalities (34K38)

Related Items (5)

Historical survey: the chronicles of fractional calculus ⋮ The method of lines for hyperbolic stochastic functional partial differential equations ⋮ Numerical solutions to fractional perturbed Volterra equations ⋮ Method of lines for physiologically structured models with diffusion ⋮ Method of lines for parabolic functional differential equations on cylindrical domains

Cites Work

• The method of lines for the solution of some nonlinear partial differential equations
• The method of lines for nonlinear parabolic differential equations with mixed derivatives
• The method of lines for parabolic differential-functional equations

This page was built for publication: Comparison ODE theorems related to the method of lines