On the solutions to a class of nonlinear integral equations arising in transport theory | Zendy

G. Spiga | Zendy; R. L. Bowden | Zendy; V. C. Boffi | Zendy

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On the solutions to a class of nonlinear integral equations arising in transport theory

Author(s) -

G. Spiga,

R. L. Bowden,

V. C. Boffi

Publication year - 1984

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.526099

Subject(s) - uniqueness , mathematics , nonlinear system , pointwise , mathematical analysis , contraction mapping , pointwise convergence , contraction (grammar) , convergence (economics) , class (philosophy) , operator (biology) , integral equation , norm (philosophy) , fixed point theorem , physics , computer science , approx , repressor , artificial intelligence , law , economic growth , chemistry , operating system , biochemistry , quantum mechanics , political science , transcription factor , medicine , economics , gene

Existence and uniqueness for the solutions to a class of nonlinear equations arising in transport theory are investigated in terms of a real parameter α which can take on positive and negative values. On the basis of contraction mapping and positivity properties of the relevant nonlinear operator, iteration schemes are proposed, and their convergence, either pointwise or in norm, is studied.

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