On the existence and uniqueness of a solution to the boundary value problem for linear ordinary differential equations

MaRDI QIDQ6667281

Nizami Gasilov

Publication date: 20 January 2025

Published in: Acta Mathematica Universitatis Comenianae. New Series (Search for Journal in Brave)

zbMATH Keywords

boundary value problemexistence and uniquenesslinear differential equationCauchy-Euler equation

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) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

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• Sur l'équation différentielle linéaire du second ordre. Détermination d'une intégrale par deux valeurs assignées. Extension aux équations d'ordre \(n\).
• Sur l'application des méthodes d'approximations successives à l'étude de certaines équations différentielles ordinaires.
• Über die von einem Punkt ausgehenden Integralkurven einer Differentialgleichung zweiter Ordnung.
• On exact solutions of a class of interval boundary value problems
• Existence and uniqueness of solutions of the second order boundary value problem
• Convergence of Successive Approximations for Nonlinear Two-Point Boundary Value Problems

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