Results 1 to 10 of about 289,841 (186)

Exponential type duality for η-approximated variational problems [PDF]

open access: yesYugoslav 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
doaj   +1 more source

Weak solutions via two-field Lagrange multipliers for boundary value problems in mathematical physics

open access: yesMathematical 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
doaj   +1 more source

Coisotropic variational problems [PDF]

open access: yesJournal 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
openaire   +5 more sources

Invariant variation problems [PDF]

open access: yesTransport 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.
openaire   +2 more sources

Duality for a class of second order symmetric nondifferentiable fractional variational problems [PDF]

open access: yesYugoslav 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
doaj   +1 more source

About One Variational Problem, Leading to а Biharmonic Equation, and about the Approximate Solution of the Main Boundary Value Problem for this Equation

open access: yesНаука 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
doaj   +1 more source

Variational differential inclusions without ellipticity condition

open access: yesElectronic 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
doaj   +1 more source

Herglotz Variational Problems Involving Distributed-Order Fractional Derivatives with Arbitrary Smooth Kernels

open access: yesFractal 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
doaj   +1 more source

Variational Estimation Methods for Sturm–Liouville Problems

open access: yesMathematics, 2022
In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
doaj   +1 more source

Computation of $\mu$-symmetry and $\mu$-conservation law for the Camassa-Holm and Hunter-Saxton equations [PDF]

open access: yesAUT 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
doaj   +1 more source

Home - About - Disclaimer - Privacy