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 of variations establishes a framework to determine the extrema of functionals—mappings from functions to real numbers—which has been pivotal in elucidating natural principles such as the ...

In the field of Inverse Problems we are concerned with several topics: We prove exact reconstruction results (also known as superresolution) as well as reconstruction ...

The first variational problem, necessary conditions. Euler's equation. Generalization to dependent and independent variables. Constraints and Lagrange multipliers. Application to dynamics and ...

Professor W. E. Byerly '71 will speak on "The Calculus of Variations" at the Physical Conference in the Jefferson Physical Laboratory tomorrow evening at 7 o'clock, instead of Professor P. W. Bridgman ...

Machines are getting better at maths – artificial intelligence has learned to solve university-level calculus problems in seconds. François Charton and Guillaume Lample at Facebook AI Research trained ...

https://siris-libraries.si.edu/ipac20/ipac.jsp?&profile=liball&source=~!silibraries&uri=full=3100001~!131928~!0#focus ...

Analytically changing the parameters of von Koch snowflake gives an example of a holomorphic motion. Holomorphic motions, in general, provide a surprising new point of view to old question in the ...

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