calculus of variations
Singular minimizers in the calculus of variations
... Finally we note that (partial) regularity questions are very actively pursued in higher dimensions, in the analysis of multi-dimensional variational problems and (nonlin- ear) elliptic systems. The issue seems rather ...
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Calculus of variations on time scales: applications to economic models
... The calculus of variations on time scales was introduced in by M Bohner who used the delta derivative and delta integral [], and it has since then been further developed by several different authors ...
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Boundary value problems for Hamiltonian systems and absolute minimizers in calculus of variations
... is called the Hamiltonian of problem (1.1). The celebrated Tonelli theorem is known to give the existence of e y(τ ) under mild assumptions on L. The proof is based on the use of the so called direct methods of ...
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An analytic study on the Euler-Lagrange equation arising in calculus of variations
... researchers for the variational problems have studied on numerical methods such as hybrid of block-pulse and Lagrange interpolating [17], nonclassical parameteriza- tion [16], Chebyshev finite difference method [23], ...
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Calculus of variations and its application to division of forest land
... tional procedure of calculus of variations with the use of Lagrangian function is shown. If some additional conditions are included in the calculation, on the basis of the criteria presented in this article ...
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En Route for the Calculus of Variations
... equality of the times for the distance on the chords of the same circle. Among the other problems posed by Jacob Bernoulli to Johann are those which are called isoperimetric problems, which together with brachistochrone ...
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Constrained Calculus of Variations and Geometric Optimal Control Theory
... 97 Therefore, given an admissible, piecewise differentiable section γ , a crucial question is establishing under what circumstances every admissible infinitesimal deformation vanishing a[r] ...
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Some applications of BV functions in optimal controls and calculus of variations
... using variations of the formulation in (CV) provide substantial ev- idence that BV -regularization can be a very effective numerical technique for image ...
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Optimal Control Formulation using Calculus of Variations
... z State and Costate equations are dynamic equations z Optimal control equation is a stationary equation. z Boundary conditions are split: it leads to Two-Point-[r] ...
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On Artin's braid group and polyconvexity in the calculus of variations
... Then we can reduce the problem to the previous case using homeomorphisms ψ ∈ Λoid Dn in the form of a finite product of simple shifts or their inverses such that φγ ψφγ1 ψ −1 with φγ1 ∈ [r] ...
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Necessary conditions for singular extremals in the calculus of variations
... For a Bolza problem without any differential constraint, this condition is better known as the Legendre condition because, in 1786, Legendre obtained such a condition for the simplest pr[r] ...
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Direct methods in the calculus of variations for differential forms
... MSC: 35A15; 58A10 Keywords: weak lower semicontinuity; differential forms; variational problem; direct methods; existence theorem.. 1 Introduction Differential forms as invaluable tools ha[r] ...
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Duality models for some nonclassical problems in the calculus of variations
... Parametric and nonparametric necessary and sufficient optimality conditions are established for a class of nonconvex variational problems with generalized fractional objective functions an[r] ...
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Trust in the pi Calculus
... Consider the simple case of a process wishing to send a message to a second process. Assume that the two processes are separated to some degree so that they must use an exter- nal communication medium, such as a network ...
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Active Calculus Multivariable
... Active Calculus - Multivariable, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by ...of ...
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The calculus of M-estimation
... M-estimators represent a very large class of statistics, including for example, maximum likelihood estimators and basic sample statistics like sample moments and sample quantiles as well[r] ...
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14 Calculus [Extension]
... A mode of a continuous random variable, X, with a pdf is a number, M, such that F(M) > f(x) for all x in a neighbourhood of M. It is a value of X for whichf(x) has its maximum. It is possible to have more than one ...
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Graphs Groups Calculus
... Introduction to proof – Courses intended to introduce students to proof need to include many opportunities for the students to con- struct proofs; inquiry-based courses are ideal for providing those opportunities. You ...
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A Calculus of Trust Management
... concurrent calculus of stateful entities, and not a calculus specifically designed to represent trust-based ...the calculus represents faithfully a distributed set of principals interacting with each ...
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