Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks

DOI10.1016/0024-3795(93)90524-RzbMath0774.34044MaRDI QIDQ1210388

Peter Lancaster, Erich Bohl

Publication date: 8 August 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

linear modelboundary layercompartmental modelregularization techniquechemical networksperturbation resultrank discontinuityspectral inverse

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Singular perturbations for ordinary differential equations (34E15)

Related Items (8)

Input-output systems in Biology and Chemistry and a class of mathematical models describing them. ⋮ A nonlinear model involving \(M\)-operators. An amplification effect measured in the cascade of vision ⋮ Iterative aggregation/disaggregation method for computing stationary probability vectors of Markov type operators ⋮ A model of amplification ⋮ Analytic perturbation of generalized inverses ⋮ Structured perturbations of group inverse and singular linear system with index one ⋮ Unnamed Item ⋮ A stability theorem for a class of linear evolution systems

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• A Boundary Layer Phenomenon for Linear Systems with a Rank Deficient Matrix

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