Results 131 to 140 of about 808,768 (351)
Perturbation and interlace theorems for the unitary eigenvalue problem [PDF]
L. Elsner, Chunyang He
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Perturbation nonlinearly dependent on the eigenvalue and a condensation of perturbation theory
where H,, is a self-adjoint operator with known spectral measure E. for the complex Hilbert space X and G, is given as a symmetric operator in X depending on h, and where by a solution pair u, h to (1.1) we mean that X is to be a real scalar and u is to be a nonnull X vector belonging to both the domain of H,, and of G, and (1.1) is to be satisfied by ...
openaire +2 more sources
ABSTRACT Desertification in North Africa has progressed rapidly over the past 6000 years. The occupation of Egypt by the Achaemenid Persians and Romans occurred even in hyperarid climates. Understanding the process of environmental changes on a regional scale may improve knowledge of how people developed technologies and adapted to the natural ...
Makiko Watanabe, Hiroyuki Kamei
wiley +1 more source
Abstract Understanding the impacts of multiple environmental stressors on phytoplankton biomass is crucial for predicting marine ecosystem responses under global climate change. This study employed a sequential modeling framework integrating principal component analysis, generalized additive models, and artificial neural networks to improve predictions
Zhuyin Tong+8 more
wiley +1 more source
Perturbations of symmetric constraints in eigenvalue problems for variational inequalities [PDF]
Sergio Lancelotti
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Photonic Energy‐Coherence Theorem and Experimental Validations
A thermodynamic framework for quantum wave‐particle duality is presented, where each behaviors attribute is quantified through the extractable energy of a system. The energy capacity establishes a direct connection to both fringe visibility and path distinguishability. Active control of single‐photon states demonstrates distinct energetic contributions
Yan‐Han Yang+7 more
wiley +1 more source
Sensitivity analysis of hydrodynamic stability operators [PDF]
The eigenvalue sensitivity for hydrodynamic stability operators is investigated. Classical matrix perturbation techniques as well as the concept of epsilon-pseudoeigenvalues are applied to show that parts of the spectrum are highly sensitive to small ...
Henningson, Dan S.+3 more
core +1 more source
The Existence of Moving Spike Patterns in an Attractive Chemotaxis Model
ABSTRACT We prove rigorously the existence of moving spike patterns in an attractive chemotaxis model with small diffusion coefficient for the chemical. In the zero diffusion limit, ϵ→0$$ \epsilon \to 0 $$, we prove that the non‐monotone traveling wave solutions of the system with ϵ>0$$ \epsilon >0 $$ converge to those of the system with ϵ=0$$ \epsilon
Tong Li, Casey Stone
wiley +1 more source
Spectral stability of undercompressive shock profile solutions of a modified KdV-Burgers equation
It is shown that certain undercompressive shock profile solutions of the modified Korteweg-de Vries-Burgers equation $$ partial_t u + partial_x(u^3) = partial_x^3 u + alpha partial_x^2 u, quad alpha geq 0 $$ are spectrally stable when $alpha$ is ...
Jeff Dodd
doaj
A Mathematical Model for Allergic Reactions Induced by the Therapy of HIV
ABSTRACT A new mathematical model for cell evolution in HIV is introduced and studied. Delay differential equations are used to capture the dynamics of immune system cells involved in allergies, as well as the evolution of HIV viruses, infected and uninfected CD4+$$ {}^{+} $$ cells, and cytotoxic T‐lymphocytes, under specific antiretroviral therapy ...
Rawan Abdullah+3 more
wiley +1 more source