Linear independence of the principal solutions at \(\infty\) and \(-\infty\) for formally self-adjoint differential systems

DOI10.1016/0022-0396(78)90038-4zbMath0369.34004OpenAlexW2038374684MaRDI QIDQ1243833

Calvin D. Ahlbrandt

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90038-4

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems ⋮ Singular Sturmian theory for linear Hamiltonian differential systems

Cites Work

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• Oscillation criteria for linear differential systems with complex coefficients
• Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations
• Principal solutions of non-oscillatory self-adjoint linear differential systems
• Growth of Jacobi fields and divergence of geodesics
• Horospheres and the stable part of the geodesic flow
• The question of equivalence of principal and coprincipal solutions of self-adjoint differential systems
• A theorem of E. Hopf
• Disconjugacy
• Principal and antiprincipal solutions of selfadjoint differential systems and their reciprocals
• Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems
• Singular Quadratic Functionals of n Dependent Variables
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations
• On the Solutions of a Class of Linear Selfadjoint Differential Equations