Results 251 to 260 of about 5,943,505 (321)
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Multiparameter Variational Principles

SIAM Journal on Mathematical Analysis, 1982
Let T and V be self-adjoint operators on a separable Hilbert space H, where V is bounded and T has compact resolvent. Then a spectral theory, including eigenvector completeness, may be given variationally for the eigenvalue problem \[ Tx = \lambda Vx,\quad 0 \ne x \in H\] provided either $T \gg 0$ (i.e., $(x,Tx) \geq \alpha \| x \|^2 $ for some $\alpha
openaire   +2 more sources

A REMARK ON WANG’S FRACTAL VARIATIONAL PRINCIPLE

, 2019
Wang et al. established successfully a variational principle in a fractal space by the semi-inverse method.
Kang-le Wang, Chun-Hui He
semanticscholar   +1 more source

ON THE FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION

, 2020
This paper gives a short remark on variational principle for the fractal Telegraph equation [K. L. Wang, S. W. Yao, Y. P. Liu et al., Fractals 28(4) (2020) 2050058], the emphasis is put on temporal and spatial fractal derivatives and the derivation ...
Ji-Huan He
semanticscholar   +1 more source

Variational principles in elastostatics

Meccanica, 1967
In a previous paper three new variational principles of elastostatics in the theory of small displacements were added to the four principles previously known: that of the minimum potential energy, of Menabrea-Finzi, of Reissner and of Hu-Washizu. This paper presents another new principle plus a variant of Reissner's principle and of its dual and ...
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Variational Principles

2012
This chapter describes smooth variational principles (of Ekeland type) as infinite two-player games. These variational principles are based on a simple but careful recursive choice of points where certain functions that change during the process have values close to their infima.
Joram Lindenstrauss   +2 more
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Application of semi-inverse variational principle to cubic-quartic optical solitons with kerr and power law nonlinearity

Optik (Stuttgart), 2018
This paper applies semi-inverse variational principle to retrieve cubic-quartic optical soliton solutions in Kerr and power law media. The results appear with a number of constraint relations and these integrability criteria are also presented.
A. Biswas, S. Arshed
semanticscholar   +1 more source

Chirp-free bright optical soliton perturbation with Chen–Lee–Liu equation by traveling wave hypothesis and semi-inverse variational principle

Optik (Stuttgart), 2018
Chirp-free bright optical soliton solutions are obtained for Chen–Lee–Liu equation by traveling wave hypothesis as well as the application of semi-inverse variational principle.
A. Biswas
semanticscholar   +1 more source

Stationary variational principle of mixture unified gradient elasticity

International Journal of Engineering Science, 2023
S. Faghidian, K. Żur, E. Pan
semanticscholar   +1 more source

Variational principle for singular waves

Chaos, Solitons & Fractals, 2023
Chun-Hui He, Chao Liu
semanticscholar   +1 more source

Reissner stationary variational principle for nonlocal strain gradient theory of elasticity

European Journal of Mechanics - A/Solids, 2018
The general form of Reissner stationary variational principle is established in the framework of the nonlocal strain gradient theory of elasticity. Including two size-dependent characteristic parameters, the nonlocal strain gradient elasticity theory can
S. Faghidian
semanticscholar   +1 more source

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