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Principal solutions and transformations of linear Hamiltonian systems. (English) Zbl 0805.34007

Author’s abstract: “Sufficient conditions are given which guarantee that the linear transformation mapping a given linear Hamiltonian system into another system of the same form transforms principal (antiprincipal) solutions into principal (antiprincipal) solutions”.

MSC:

34A30 Linear ordinary differential equations and systems
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.