On the numerical solvability of the initial problem with weight for ordinary linear differential systems with singularities

DOI10.1515/GMJ-2023-2029zbMath1526.65030MaRDI QIDQ6080336

Besarion Anjaparidze, Murman Kublashvili, Malkhaz Ashordia

Publication date: 30 October 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

linear systemsordinary differential equationsingularitynumerical solvabilityconvergence of difference schemesinitial problem with weight

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some boundary value problems for linear generalized differential systems with singularities
• A nonlinear Volterra-Stieltjes integral equation and a Gronwall inequality in one dimension
• On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities
• On boundary value problems for systems of linear generalized ordinary differential equations with singularities
• Generalized ordinary differential equations and continuous dependence on a parameter
• Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations
• On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations
• On the solvability of the modified Cauchy problem for linear systems of impulsive differential equations with singularities
• Kurzweil–Stieltjes Integral

This page was built for publication: On the numerical solvability of the initial problem with weight for ordinary linear differential systems with singularities