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Central projections of a pair of accompanying spaces to a linear two-dimensional space of functions with a continuous first derivative. (English) Zbl 0599.34044

M. Laitoch defined a central projection of bundles of integrals relative to the differential equation (q): \(y''=q(t)y\) with a given basis. There is considered a mapping among linear combinations \(\alpha y+\beta y'\) and \(\gamma y+\delta y'\) of the integral \(y\) relative to (q) and its derivative \(y'\), where the numbers of bases \([\alpha, \beta]\) and \([\gamma,\delta]\) satisfy the condition \(\alpha \delta - \beta\gamma\ne 0\). The present paper deals with properties of a central projection of functions of a pair of accompanying spaces \(P\rho [\alpha,\beta]\) and \(P\sigma[\gamma,\delta]\) to a linear two-dimensional space of functions with a continuous first derivative.
Reviewer: Jitka Kojecká

MSC:

34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
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References:

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