Results 51 to 60 of about 3,505,030 (302)

Optimization of the First Eigenvalue of Equations with Indefinite Weights

Advanced Nonlinear Studies, 2013
Abstract We investigate minimization and maximization of the principal eigenvalue of the Laplacian under Dirichlet boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, such optimization problems are motivated by the question of determining the most convenient spatial ...
Cosner, C, CUCCU, FABRIZIO, Porru, G.
openaire   +4 more sources

A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators

, 2009
Eigenvalues in the essential spectrum of a weighted Sturm-Liouville operator are studied under the assumption that the weight function has one turning point.
A. Fleige, A. Fleige, A. Fleige, A. Fleige, A.B. Mingarelli, A.N. Kochubei, B. Curgus, B. Ćurgus, B. Ćurgus, B. Ćurgus, B.M. Levitan, D. Hilbert, E.A. Coddington, E.C. Titchmarsh, E.C. Titchmarsh, F. Gesztesy, F.V. Atkinson, F.V. Atkinson, H. Langer, I. Knowles, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.S. Kac, J. Behrndt, J. Behrndt, J. Behrndt, J. Weidmann, J.F. Brasche, M. Klaus, M.G. Krein, P. Binding, P. Jonas, P. Jonas, R. Beals, R. Beals, R.C. Gilbert, R.G.D. Richardson, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.I. Gorbachuk, W. Allegretto   +49 more
core   +3 more sources

Periodic solutions for a singular Liénard equation with indefinite weight [PDF]

Topological Methods in Nonlinear Analysis, 2019
In this paper, the existence of positive periodic solutions is studied for a singular Lienard equation where the weight function has an indefinite sign.
Shiping Lu, Runyu Xue
openalex   +2 more sources

Homogenization of Steklov spectral problems with indefinite density function in perforated domains

, 2012
The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function is investigated in periodically perforated domains.
Douanla, Hermann Yonta
core   +1 more source

𝑝(𝑥)-Laplacian with indefinite weight [PDF]

Proceedings of the American Mathematical Society, 2011
We consider the eigenvalue problem − div ( | ∇ u | p ( x ) − 2 ∇ u )
openaire   +2 more sources

Positive subharmonic solutions to nonlinear ODEs with indefinite weight [PDF]

Communications in Contemporary Mathematics, 2017
We prove that the superlinear indefinite equation [Formula: see text] where [Formula: see text] and [Formula: see text] is a [Formula: see text]-periodic sign-changing function satisfying the (sharp) mean value condition [Formula: see text], has positive subharmonic solutions of order [Formula: see text] for any large integer [Formula: see text], thus ...
Guglielmo Feltrin, Guglielmo Feltrin, Alberto Boscaggin   +2 more
openaire   +4 more sources

Advancements in Machine Learning for Microrobotics in Biomedicine

Advanced Intelligent Systems, EarlyView.
Microrobotics is an innovative technology with great potential for noninvasive medical interventions. However, controlling and imaging microrobots pose significant challenges in complex environments and in living organisms. This review explores how machine learning algorithms can address these issues, offering solutions for adaptive motion control and ...
Amar Salehi, Soleiman Hosseinpour, Nasrollah Tabatabaei, Mahmoud Soltani Firouz, Niloufar Zadebana, Richard Nauber, Mariana Medina‐Sánchez   +6 more
wiley   +1 more source

A Fuzzy Risk Assessment Approach Based on Z‐Numbers for Enhancing Safety and Human‐Robot Collaboration in Automotive Sector

Advanced Intelligent Systems, EarlyView.
A novel risk assessment approach that integrates the fuzzy set theory and Z‐numbers with multicriteria decision‐making techniques (Delphi, decision‐making trial and evaluation laboratory, analytic network process, and VIseKriterijumska Optimizacija I Kompromisno Resenje) to manage uncertainty and prioritize human–robot collaboration risks. A real‐world
Emine Bozkus, İhsan Kaya
wiley   +1 more source

Existence and Multiplicity of Periodic Solutions to Indefinite Singular Equations Having a Non-monotone Term with Two Singularities

Advanced Nonlinear Studies, 2019
Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h⁢(t)⁢g⁢(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
doaj   +1 more source

Borcherds Products for U(1,1)

, 2013
The Borcherds lift for indefinite unitary groups, previously constructed by the author, is examined here in greater detail for the special case of the group U(1,1).
Hofmann, Eric
core   +1 more source