Abstract We present an extension of the Livens variational principle (sometimes also referred to as Hamilton-Pontryagin principle) mechanical systems subject holonomic constraints. The newly proposed embodies index reduction in spirit often-applied GGL stabilization and thus may be termed “GGL principle”. Euler-Lagrange equations assume form differential-algebraic (DAEs) with differentiation tw...

As is well-known, there is a variational principle for the Euler–Poincaré equations on a Lie algebra g of a Lie group G obtained by reducing Hamilton’s principle on G by the action of G by, say, left multiplication. The purpose of this paper is to give a variational principle for the Lie–Poisson equations on g∗, the dual of g, and also to generalize this construction. The more general situation...

In the present article two-dimensional hybrid equilibrium element formulation is initially developed, with quadratic, cubic, and quartic stress fields, for static analysis of compressible quasi-incompressible elastic solids in variational framework minimum complementary energy principle. Thereafter, high-order developed dynamic Toupin principle, which form Hamilton The Newmark time integration ...

We prove a strong maximum principle for semicontinuous viscosity subsolutions or supersolutions of fully nonlinear degenerate elliptic PDE's, which complements the results of 17]. Our assumptions and conclusions are diierent from those in 17], in particular our maximum principle implies the nonexistence of a dead core. We test the assumptions on several examples involving the p-Laplacian and th...

In this work, we follow the idea of the De Broglie’s matter waves and the analogous method that Schrödinger founded wave equation, but we apply the more essential Hamilton principle instead of the minimum action principle of Jacobi which was used in setting up Schrödinger wave equation. Thus, we obtain a novel non-relativistic wave equation which is different from the Schrödinger equation, and ...

Abstract: Problem statement: We studied the inventory-production system with two-parameter Weibull distributed deterioration items. Approach: The inventory model was developed as linear optimal control problem and by the Pontryagin maximum principle, the optimal control problem was solved analytically to obtain the optimal solution of the problem. Results: It was then illustrated with the help ...

We apply stochastic Perron’s method to a singular control problem where an individual targets at a given consumption rate, invests in a risky financial market in which trading is subject to proportional transaction costs, and seeks to minimize her probability of lifetime ruin. Without relying on the dynamic programming principle (DPP), we characterize the value function as the unique viscosity ...

In this paper we study through tunneling formalism, the effect of noncommutativity to Hawking radiation and entropy noncommutative Schwarzschild black hole. our model have considered implemented via Lorentzian distribution. We obtain corrections temperature using Hamilton–Jacobi method Wentzel–Kramers–Brillouin (WKB) approximation. addition, found logarithmic other types due quantum from genera...

Under consideration of this paper is the application Jordan canonical form and symplectic matrix to two conformable fractional differential models. One new vector conduction equation which reduced by using coefficient solved exactly, other dynamical system with Hamilton matrix, derived constructing Euler-Lagrange variational principle. It shown that can be used deal some systems in mathematical...

This is the first study on the free vibrational behavior of sandwich panels with flexible core in the presence of smart sheets of oil which is capable of the excitation of magnetic field. In order to model the core, the improved high order theory of sandwich sheets was used by a polynomial with unknown coefficients first degree shear theory was used for the sheets. The derived equations based o...