Results 1 to 10 of about 23,335 (263)
Exponential type duality for η-approximated variational problems [PDF]
Yugoslav Journal of Operations Research, 2020 In this article, we use the so-called η-approximation method for solving a new class of nonconvex variational problems with exponential (p, r)-invex functionals.
Jha Shalini, Das Prasun, Antczak Tadeusz
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Mathematical Modelling and Analysis, 2022 A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle ...
Mariana Chivu Cojocaru, Andaluzia Matei
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Duality for a class of second order symmetric nondifferentiable fractional variational problems [PDF]
Yugoslav Journal of Operations Research, 2020 The present work frames a pair of symmetric dual problems for second order nondifferentiable fractional variational problems over cone constraints with the help of support functions.
Prasad Ashish Kumar +2 more
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Invariant variation problems [PDF]
Transport Theory and Statistical Physics, 1971 The problems in variation here concerned are such as to admit a continuous group (in Lie's sense); the conclusions that emerge from the corresponding differential equations find their most general expression in the theorems formulated in Section 1 and proved in following sections.
Noether, Emmy, Tavel, M. A.
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Наука и техника, 2022 . Many important questions in the theory of elasticity lead to a variational problem associated with a biharmonic equation and to the corresponding boundary value problems for such an equation.
I. N. Meleshko, P. G. Lasy
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Variational differential inclusions without ellipticity condition
Electronic Journal of Qualitative Theory of Differential Equations, 2020 The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted $(p,q)$-Laplacian $-\Delta_p u+\mu\Delta_q u$ with $\mu\in
Zhenhai Liu +3 more
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Coisotropic variational problems [PDF]
Journal of Geometry and Physics, 2004 In this article we study constrained variational problems in one independent variable defined on the space of integral curves of a Frenet system in a homogeneous space G/H. We prove that if the Lagrangian is G-invariant and coisotropic then the extremal curves can be found by quadratures. Our proof is constructive and relies on the reduction theory for
MUSSO, EMILIO, J. D. E. GRANT
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Computation of $\mu$-symmetry and $\mu$-conservation law for the Camassa-Holm and Hunter-Saxton equations [PDF]
AUT Journal of Mathematics and Computing, 2023 This work is intended to compute the $\mu$-symmetry and $\mu$-conservation laws for the Cammasa-Holm (CH) equation and the Hunter-Saxton (HS) equation. In other words, $\mu$-symmetry, $\mu$-symmetry reduction, variational problem, and $\mu$-conservation ...
Somayeh Shaban, Mehdi Nadjafikhah
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Fractal and Fractional, 2022 In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function.
Fátima Cruz +2 more
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Variations on the Two-Child Problem
The Mathematical Intelligencer, 2023 Abstract Mr. Smith has two children. Given that at least one of them is a boy, how likely is it that Mr. Smith has two boys? It’s a very standard puzzle in elementary books on probability theory. Whoever asks you this question hopes that you will answer “1/2”, in which case they can say triumphantly “Oh no, the answer is 1/3 ”.
Börgers, Christoph, Nour Eddine, Samer
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