Results 41 to 50 of about 1,310,010 (183)
By using the well-known mountain-pass theorem and Ekeland’s variational principle, we prove that there exist at least two fully nontrivial solutions for a ( p , q ) $(p,q)$ -Kirchhoff elliptic system with the Dirichlet boundary conditions and ...
Zhangyi Yu, Junping Xie, Xingyong Zhang
doaj +1 more source
Evolution of axial gravitational waves in rainbow universe
In view of the Regge-Wheeler formalism (RWF) causing axial and polar gravitational waves (GWs), axial modes of the GWs are investigated by considering the spatially flat conformal Friedmann-Lemaitre-Robertson-Walker (FLRW) metric in the rainbow gravity ...
O. Aydogdu, M. Salti
doaj +1 more source
Approximate Conservation Laws of Nonvariational Differential Equations
The concept of an approximate multiplier (integrating factor) is introduced. Such multipliers are shown to give rise to approximate local conservation laws for differential equations that admit a small perturbation.
Sameerah Jamal
doaj +1 more source
New analytical solution for stream–aquifer interaction under constant replenishment
In the present paper, approximate analytical solutions for flow in unconfined aquifers with streams are obtained assuming one-dimensional horizontal groundwater flow in homogeneous and isotropic aquifer with recharge effect using variational homotopy ...
Amruta Daga Bhandari +2 more
doaj +1 more source
Limiting absorption principle for perturbed operator
4 pages; an invariant operator ideal version of the main result has been ...
openaire +2 more sources
Perturbation theory for critical points of causal variational principles [PDF]
The perturbation theory for critical points of causal variational principles is developed. We first analyze the class of perturbations obtained by multiplying the universal measure by a weight function and taking the push-forward under a diffeomorphism. Then the constructions are extended to convex combinations of such measures, leading to perturbation
openaire +2 more sources
This research presents the complex mechanics of the size-dependent viscoelastic carbon nanotube (CNT) subjected to the electric load. The mechanical model describing the motions of CNT is formulated by the Euler beam theory, Kelvin-Voigt viscoelastic ...
Mingyuan Li, Qiliang Wu, Bin Bai
doaj +1 more source
Numerical study of the applicability of the Saint-Venant principle
The limits of the applicability of the Saint-Venant principle are investigated while using the LIRA-CAD app. A large number of bars loaded at the end with different loads are considered.
Paushkin Alexander, Saiyan Sergey
doaj +1 more source
REGULARIZATION OF PONTRYAGIN MAXIMUM PRINCIPLE IN OPTIMAL CONTROL OF DISTRIBUTED SYSTEMS
This article is devoted to studying dual regularization method applied to parametric convex optimal control problem of controlled third boundary–value problem for parabolic equation with boundary control and with equality and inequality pointwise state ...
Mikhail I. Sumin
doaj +1 more source
Testing the Cosmological Principle in an Axisymmetric Metric from Ia SNe and CMB
We investigate the possibility of testing the Cosmological Principle within a specific axisymmetric metric. Starting from the Einstein field equations, we derive a perturbed form of the Friedmann equation based on this metric and obtain a generalized ...
Shuangnan Chen +3 more
doaj +1 more source

