calculus of variations


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calculus of variations

n.
Mathematical analysis of the maxima and minima of definite integrals, the integrands of which are functions of independent variables, dependent variables, and the derivatives of one or more dependent variables.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

calculus of variations

n
(Mathematics) a branch of calculus concerned with maxima and minima of definite integrals
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.calculus of variations - the calculus of maxima and minima of definite integrals
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
infinitesimal calculus, calculus - the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
Variační počet
Variationsrechnung
cálculo de variaciones
حسابان وردش‌ها
Calcul des variations
חשבון וריאציות
Calcolo delle variazioni
変分法
Rachunek wariacyjny
Variacijski račun
Варіаційне числення
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References in periodicals archive ?
In [3] Almeida studied certain problems of calculus of variations that are dependent upon a Lagrange function on a Caputo-type fractional derivative; sufficient and necessary conditions of the first- and second-order are presented.
Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether's Theorem
Mathematically, formulated in the view of the equations of (1)-(2), this particularly given problem setting is stated as the simplest problem of the calculus of variations for the objective functionals likewise [25]:
Airworthiness Support Measures Analogy to the Prospective Roundabouts Alternatives: Theoretical Aspects
In the discrete time setting (see e.g., [14]-[16], [18] and [26]) and in the time scale setting (see e.g., [17], [19], [20]), the question of characterizing the nonnegativity and positivity of F"([bar.x], [bar.u]; [eta], v) was intensively studied when F itself is symplectic (i.e., of the form (D) below), or when we are in the calculus of variations setting.
CONSTRAINED LINEAR-QUADRATIC CONTROL PROBLEMS OVER TIME SCALES AND WEAK NORMALITY
Saunders, "Thirty years of the inverse problem in the calculus of variations," Reports on Mathematical Physics, vol.
Economic Order Quality Model for Determining the Sales Prices of Fresh Goods at Various Points in Time
In order to solve this problem, we will resort to the calculus of variations.
Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching
Li-Jost, Calculus of Variations, Cambridge University Press, Cambridge, UK, 2008.
Complexity-based modeling of scientific capital: an outline of mathematical theory
Bohner, "Calculus of variations on time scales," Dynamic Systems and Applications, vol.
Time scale in least square method
of Tokyo) introduces researchers and graduate students to the stochastic calculus of variation, also called Malliavin calculus, for processes with jumps--that is both pure jump processes and jump-diffusions.
Stochastic calculus of variations for jump processes
Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems.
Introduction to The Calculus of Variations and Control with Modern Applications
Keywords: Calculus of variations, Euler-Lagrange equation, boundedness of the solution.
The validity of the Euler-Lagrange equation for solutions to variational functionals with fast growth
Results on differential equations and the calculus of variations with fractional operators of variable order can be found in [15, 16] and references therein.
An expansion formula with higher-order derivatives for fractional operators of variable order
Lions, The concentration-compactness principle in the calculus of variations. The locally compact case.
The Caffarelli-Kohn-Nirenberg type inequalities involving critical and supercritical weights

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