Euler-Lagrange equation

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Euler-Lagrange equation

[¦ȯi·lər lə′grānj i‚kwā·zhən]
(mathematics)
A partial differential equation arising in the calculus of variations, which provides a necessary condition that y (x) minimize the integral over some finite interval of f (x,y,y ′) dx, where y ′ = dy/dx; the equation is (δƒ(x,y,y ′)/δ y) - (d/dx)(δƒ(x,y,y ′)/δ y ′) =0. Also known as Euler's equation.
References in periodicals archive ?
The Erie Lackawanna existed only for sixteen years, from 1960 until 1976, but the events leading up to the E-L merger as well as those following the railroad's demise illustrate, as the author suggests, ".
While Chapter 4 discusses the potential benefits of the E-L merger in yet far greater detail, perhaps the best lesson conveyed is that because of the all-encompassing objective of achieving merger, its liabilities were not sufficiently apparent to management until after the merger had been consummated.
In its earlier years the E-L failed to integrate itself into a single entity and thereby precluded its ability to reap the advantages of merger foreseen not only by its respective managements, but by the Interstate Commerce Commission and its on-line shippers as well.
It is here that the free access which the author was given to the records of the estate and the availability for interviews with former E-L executives becomes most apparent.
TORONTO -- E-L Financial Corporation Limited ("E-L") announced that it has acquired a further 461,284 common shares of United Corporations Limited (TSX:UNC), increasing its ownership from 4,338,203 (35.