The main objective of this paper is to work out a full-scale application of the integrability analysis of the inverse problem of the calculus of variations, as developed in recent papers by Sarlet and ...

This paper deals with the problem of sensitivity analysis in calculus of variations. A perturbation technique is applied to derive the boundary value problem and the system of equations that allow us ...

Calculus to the level of ODEs, partial derivative and multiple integrals, some knowledge of PDEs helpful but not essential. Students should have a certain comfort level with dealing with advanced ...

Nature Research Intelligence Topics Topic summaries Mathematical Sciences Applied Mathematics Calculus of Variations, Mathematical Aspects of Systems Theory and Control Theory Calculus of variations ...

IN a review in NATURE 1 it is stated that the equation of conduction of heat can be regarded only as a limiting case of an equation arising in the calculus of variations. A successful attempt has been ...