The functional formulation of second-order ordinary differential equations (Q1779972)

From MaRDI portal
scientific article
Language Label Description Also known as
English
The functional formulation of second-order ordinary differential equations
scientific article

    Statements

    The functional formulation of second-order ordinary differential equations (English)
    0 references
    0 references
    6 June 2005
    0 references
    The author considers second-order ordinary differential equations \[ x''(t) = f(t,x(t),x'(t)) \] for which the boundary value problem \(x(\alpha) = a,x(\beta)=b\) is solvable for each \(\alpha,a,\beta,b\) and its relation to functional equations for \(x\). Some illustrating examples (including geodesics) are given.
    0 references
    0 references
    functional equations
    0 references
    geodesics
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references