Variational problems
A non-classical class of variational problems
... Abstract: We study a new non-classical class of variational problems that is motivated by some recent research on the non-linear revenue problem in the field of economics. This class of problem can be set ...
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Fractional variational problems depending on indefinite integrals
... considers fractional Lagrange problems and the Hamiltonian approach. In Section 8 we obtain sufficient conditions of optimization under suitable convexity assumptions on the Lagrangian. We end with Section 9, ...
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Fractional variational problems depending on indefinite integrals and with delay
... fractional variational problems in presence of Caputo derivatives and delays are ...the variational functions h are chosen in such a way that take the value zero at the extrema, the Caputo and the ...
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Higher-order variational problems of Herglotz type with time delay
... higher-order variational problems of Herglotz type with a time delay, proving the corresponding Euler–Lagrange equations, transversality condi- tions, the DuBois–Reymond necessary optimality condition and ...
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Numerical solution for fractional variational problems using the Jacobi polynomials
... We exhibit a numerical method to solve fractional variational problems, applying a de- composition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the ...
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Noether's theorem for higher-order variational problems of Herglotz type
... the higher-order Euler–Lagrange equation and the transversality conditions for problem ( H n) found in [ 6 ] to admissible functions x(·) ∈ P C n ([a, b]; R m ) and z(·) ∈ P C 1 ([a, b]; R) (Theorem 3.3 ); we obtain a ...
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Variational problems for Hölderian functions with free terminal point
... earliest variational problems posed in physics was the problem of determining the shape of a surface of revolution that would encounter the least resistance when moving through some resisting ...different ...
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Fractional variational problems with the Riesz-Caputo derivative
... In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for ...
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Constrained fractional variational problems of variable order
... Variational problems are often subject to one or more ...ric problems are optimization problems where the admissible functions are subject to integral ...where variational ...
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Variational Problems Involving a Caputo-Type Fractional Derivative
... We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the ...
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Necessary optimality conditions for infinite horizon variational problems on time scales
... the variational principle holds as a unified law [ 5 ], then the above time scale differential equations must also come from minimization of some delta or nabla functional with a Lagrangian containing delta or ...
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Higher-order variational problems of Herglotz type
... The variational problem of Herglotz was the basis of the ...to problems of Herglotz type [3, 4, ...classical variational principle, the variational principle of Herglotz gives a ...
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Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
... fractional variational principle and the spectral theorem for the continuous fractional Sturm–Liouville ...most problems involving fractional derivatives (equations or variational problems) ...
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General quantum variational calculus
... new variational calculus based in the general quantum difference operator recently introduced by Hamza et ...generalized variational problems where the Lagrangian may depend on the endpoints ...
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Hahn's symmetric quantum variational calculus
... In Section 2 we introduce the necessary definitions and prove some basic results for the Hahn symmetric calculus. In Section 3 we formulate and prove our main re- sults for the Hahn symmetric variational calculus. ...
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ARITHMETIC WORD PROBLEMS AND ALGEBRA WORD PROBLEMS
... Most of the basic definitions of "arithmetic" have to do with the computation of numbers, ofttimes including mention of the "four operations". Those of "algebra", in contrast, emphasize reasoning ...
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VARIATIONAL MONTE-CARLO APPROACH FOR ARTICULATED OBJECT TRACKING
... the variational inference based on measuring the KullbackLiebler divergence into the evolving population Monte Carlo ...of variational inference on tracking multiple body parts of human targets and in ...
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Método variational path-integral aplicado a sistemas fermiônicos
... No entanto, como mencionamos, este método nunca foi aplicado em cálculos de Monte Carlo de sistemas fermiônicos, onde ele precisa ser adaptado para lidar com o famoso problema do sinal..[r] ...
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Variational and perturbative schemes for a spiked harmonic oscillator
... This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:.. ic oscillator rep[r] ...
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Arithmetic Procedures in Variational Phenomena Problem-Solving
... From the mathematical process of elaboration, comparison and practice of procedures, one of the five general mathematics processes according to MEN (1998), we presented in this document, the findings of a research which ...
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