Green's functions and linear boundary value problems

DOI10.1016/0022-0396(81)90076-0zbMath0478.34019OpenAlexW2069442537MaRDI QIDQ1161084

Jerry R. Ridenhour

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90076-0

zbMATH Keywords

multi-point Green's function

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• The extremal solutions of the equation Ly + p(x)y = 0
• On the first and the second conjugate points
• A Green's function convergence principle, with applications to computation and norm estimates
• Effective estimates of invertibility intervals for linear multipoint boundary value problems
• Properties of solutions of Nth order linear differential equations
• Disconjugacy
• Interpolation Between Consecutive Conjugate Points of an nth Order Linear Differential Equation
• Maximization of Green’s Function over Classes of Multipoint Boundary Value Problems
• Monotony Properties and Inequalities for Green’s Functions for Multipoint Boundary Value Problems
• The kth Conjugate Point Function for an Even Order Linear Differential Equation
• On the Extremal Solutions of nth-Order Linear Differential Equations

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