Results 31 to 40 of about 5,695,240 (285)
Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems
Mathematics, 2023 To solve linear and nonlinear eigenvalue problems, we develop a simple method by directly solving a nonhomogeneous system obtained by supplementing a normalization condition on the eigen-equation for the uniqueness of the eigenvector.
Chein-Shan Liu +2 more
doaj +1 more source
Note on a Nonlinear Eigenvalue Problem
Rocky Mountain Journal of Mathematics, 1993 Consider the nonlinear eigenvalue problem \({d \over dx} (| u' |^{p-2}u')+ \lambda | u |^{p-2}u=0\). It is observed that the first positive eigenvalue \(\lambda_ p\) satisfies a conjugacy condition \(\lambda_ p^{1/p}=\lambda_ q^{1/p}\), \({1 \over p} + {1 \over q}=1\). Also the corresponding eigenfunctions are related.
openaire +2 more sources
Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]
, 1972 The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
core +1 more source
dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
What Do You Mean by “Nonlinear Eigenvalue Problems”?
Axioms, 2018 A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, where F(λ,0)=0 for all λ, and contains by definition two unknowns: the eigenvalue parameter λ and the “nontrivial” vector(s)
Raffaele Chiappinelli
doaj +1 more source
On a Nonlinear Elliptic Eigenvalue Problem
Journal of Differential Equations, 1995 The eigenvalue problem \(- \Delta u- \mu u= \lambda g(x, u)\) in \(D\), \(u= 0\) on \(\partial D\), with prescribed energy condition is considered. Multiplicity results are proved, based on Lyusternik-Schnirelman theory.
openaire +2 more sources
On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems [PDF]
, 2005 In many practical systems, limit cycles can be predicted with suitable precision by frequency domain methods using describing functions. Within such an approach, limit cycles can be predicted using the “eigenvalue method” [Somieski, G., Nonlinear ...
Kienitz, Karl Heinz
core
Eigenvalue problems for fractional differential equations with mixed derivatives and generalized p-Laplacian [PDF]
, 2018 This paper reports the investigation of eigenvalue problems for two classes of nonlinear fractional differential equations with generalized p-Laplacian operator involving both Riemann–Liouville fractional derivatives and Caputo fractional ...
Wang, Yupin, Han, Zhenlai, Liu, Shutang
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Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons [PDF]
, 2021 We consider a class of generally non-self-adjoint eigenvalue problems which are nonlinear in the solution as well as in the eigenvalue parameter (“doubly” nonlinear).
Dohnal T, Romani G
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Advanced Engineering Materials, EarlyView.CT‐based finite element simulations combined with in situ X‐ray computed tomography are used to analyze insert pull‐out in nickel‐coated polymer foams. Despite variations in material parameters, deformation consistently concentrates within a narrow annular region around the insert.
Yannik Bautz +4 more
wiley +1 more source