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  1.  37
    A New Look at Hamilton's Principle.Cecil D. Bailey - 1975 - Foundations of Physics 5 (3):433-451.
    Hamilton's principle and Hamilton's law are discussed. Hamilton's law is then applied to achieve direct solutions to time-dependent, nonconservative, initial value problems without the use of the theory of differential or integral equations. A major question has always plagued competent investigators who use “energy methods,” viz., “Why is it that one can derive the differential equations for a system from Hamilton's principle and then solve these equations (at least in principle) subject to applicable initial and boundary conditions; but one cannot (...)
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  2.  27
    On a More Precise Statement of Hamilton's Principle.Cecil D. Bailey - 1981 - Foundations of Physics 11 (3-4):279-296.
    It has been recognized in the literature of the calculus of variations that the classical statement of the principle of least action (Hamilton's principle for conservative systems) is not strictly correct. Recently, mathematical proofs have been offered for what is claimed to be a more precise statement of Hamilton's principle for conservative systems. According to a widely publicized version of this more precise statement, the action integral for conservative systems is a minimum for discrete systems for small time intervals only (...)
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  3.  43
    Hamilton's Law or Hamilton's Principle: A Response to Ulvi Yurtsever. [REVIEW]Cecil D. Bailey - 1983 - Foundations of Physics 13 (5):539-544.
    The law of varying action and Hamilton's principle of classical mechanics are discussed. It is now clear that the law of varying action, introduced by Hamilton in his papers of 1834 and 1935, was never recognized by either the mathematicians or other scientists who followed him. Why this occurred is discussed in this paper.
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