Results 11 to 20 of about 36,531 (212)

Degenerate Elliptic Eigenvalue Problems with Indefinite Weights [PDF]

open access: yesMediterranean Journal of Mathematics, 2008
The purpose of this paper is to provide a careful and accessible exposition of the Kreĭn and Rutman Theory of degenerate elliptic eigenvalue problems with indefinite weights that model population dynamics in environments with spatial heterogeneity.
Kazuaki Taira
openaire   +3 more sources

On Indefinite Sums Weighted by Periodic Sequences [PDF]

open access: yesResults in Mathematics, 2019
For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$. When explicit expressions for the latter sums are available, this formula immediately provides explicit expressions ...
openaire   +4 more sources

Sleep spindle detection based on non-experts: A validation study. [PDF]

open access: yesPLoS ONE, 2017
Accurate and efficient detection of sleep spindles is a methodological challenge. The present study describes a method of using non-experts for manual detection of sleep spindles.
Rui Zhao   +6 more
doaj   +1 more source

Cohomology and Decomposition of Tensor Product Representations of SL(2,R) [PDF]

open access: yes, 2002
We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on indefinite inner product spaces, we derive explicit decomposition formulae,
André van Tonder   +26 more
core   +4 more sources

On the Fučík spectrum with indefinite weights

open access: yesDifferential and Integral Equations, 2001
19 pages, to appear in Diff.
Gossez, Jean-Pierre, Alif, Mohssine
openaire   +4 more sources

Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights

open access: yesAbstract and Applied Analysis, 2009
Consider the half-eigenvalue problem (ϕp(x′))′+λa(t)ϕp(x+)−λb(t)ϕp(x−)=0 a.e.
Wei Li, Ping Yan
doaj   +1 more source

The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality [PDF]

open access: yes, 2012
We study two problems. The first one is the similarity problem for the indefinite Sturm-Liouville operator \[ A=-(\sgn\, x)\frac{d}{wdx}\frac{d}{rdx} \] acting in $L^2_{w}(-b,b)$. It is assumed that $w,r\in L^1_{\loc}(-b,b)$ are even and positive a.e. on
Abasheeva   +66 more
core   +1 more source

Realizations of Causal Manifolds by Quantum Fields [PDF]

open access: yes, 1997
Quantum mechanical operators and quantum fields are interpreted as realizations of timespace manifolds. Such causal manifolds are parametrized by the classes of the positive unitary operations in all complex operations, i.e.
C. Becchi   +27 more
core   +3 more sources

Multiplicity results for asymmetric boundary value problems with indefinite weights

open access: yesAbstract and Applied Analysis, 2004
We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the form u″+f(t,u)=0, u(0)=u(T)=0.
Francesca Dalbono
doaj   +1 more source

Inhomogeneous Neumann problem with critical Sobolev exponent

open access: yesAdvances in Nonlinear Analysis, 2012
We investigate the solvability of the inhomogeneous Neumann problem involving the critical Sobolev exponent. In particular, we discuss the impact of the shape of the graph of the coefficient of the critical exponent on the existence of a solution.
Chabrowski Jan
doaj   +1 more source

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