Oscillation Criteria for Self-Adjoint Differential Systems

DOI10.2307/1993413zbMath0114.29202OpenAlexW4254306371MaRDI QIDQ5722426

William T. Reid

Publication date: 1961

Full work available at URL: https://doi.org/10.2307/1993413

zbMATH Keywords

ordinary differential equations

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Cites Work

• Unnamed Item
• Unnamed Item
• Oscillation criteria for linear differential systems with complex coefficients
• Principal solutions of non-oscillatory self-adjoint linear differential systems
• Sufficient conditions in the problem of Lagrange with fixed end points
• Natural isoperimetric conditions in the calculus of variations
• The detection of the oscillation of solutions of a second order linear differential equation
• Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
• Oscillation Criteria for Second-Order Linear Differential Equations
• Adjoint Linear Differential Operators
• On the Oscillation of Solutions of Self-Adjoint Linear Differential Equations of the Fourth Order
• Oscillation Criteria for Fourth-Order Linear Differential Equations
• A Boundary Value Problem Associated with the Calculus of Variations
• Sufficient Conditions in the Problem of Lagrange with Variable End Conditions
• An Integro-Differential Boundary Value Problem
• A Two-Point Boundary Problem for Ordinary Self-Adjoint Differential Equations of Fourth Order
• A Matrix Differential Equation of Riccati Type