Results 131 to 140 of about 32,160 (207)

Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator

open access: yesElectronic Journal of Differential Equations, 2017
We consider a discrete Dirichlet boundary value problem of equations with the (p,q)-Laplacian operator in the principal part and prove the existence of at least two positive solutions.
Antonella Nastasi   +2 more
doaj  

Euler–Lagrange equations for the spectral element shallow water system, Ocean Model

open access: yes, 2020
We present the derivation of the discrete Euler-Lagrange equations for an inverse spectral element ocean model based on the shallow water equations. We show that the discrete Euler-Lagrange equations can be obtained from the continuous Euler-Lagrange ...
J C Levin   +4 more
core  

Euler- Lagrange Equation for Fractional Variational Problems

open access: yes, 2017
This thesis introduces three new operators and presents some of their properties. It defines a new class of variational problems in terms of these operators and derives Euler-Lagrange equations for this class of problems.
Diriba, Hailu Daba
core  

Newton's method in the context of gradients

open access: yesElectronic Journal of Differential Equations, 2007
This paper gives a common theoretical treatment for gradient and Newton type methods for general classes of problems. First, for Euler-Lagrange equations Newton's method is characterized as an (asymptotically) optimal variable steepest descent method ...
John W. Neuberger, Janos Karatson
doaj  

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

open access: yes, 2016
We use methods from exterior differential systems (EDS) to develop a geometric theory of scalar, first-order Lagrangian functionals and their associated Euler-Lagrange PDEs, subject to contact transformations.
Grossman, Daniel   +2 more
core  

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