On formal variational calculus of higher dimensions
نویسندگان
چکیده
منابع مشابه
Calculus of Variations in Higher Dimensions
Many problems in Calculus of Variations require the use functionals containing several independent and dependent variables. The first part of this report covers the derivation of the Euler-Lagrange equation for the general functional involving multi-variables vectorvalued functions with fixed boundary. Some of its corollaries and applications will be explored. In the second part we focus on an ...
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We use the viewpoint of the formal calculus underlying vertex operator algebra theory to study certain aspects of the classical umbral calculus. We begin by calculating the exponential generating function of the higher derivatives of a composite function, following a very short proof which naturally arose as a motivating computation related to a certain crucial “associativity” property of an im...
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Abstract. The discrete, the quantum, and the continuous calculus of variations, have been recently unified and extended by using the theory of time scales. Such unification and extension is, however, not unique, and two approaches are followed in the literature: one dealing with minimization of delta integrals; the other dealing with minimization of nabla integrals. Here we review a more genera...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1983
ISSN: 0022-247X
DOI: 10.1016/0022-247x(83)90068-9