An equation of Hammerstein type arising in particle transport theory

DOI10.1063/1.525857zbMath0526.45009OpenAlexW1977729023MaRDI QIDQ3041737

Giampiero Spiga, Vinicio C. Boffi

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525857

zbMATH Keywords

spherical harmoniccontraction mapping principleexistenceequation of Hammerstein typenonlinear integrodifferential Boltzmann transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (18)

On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments ⋮ A perturbed quadratic equation involving Erdélyi-Kober fractional integral ⋮ Existence theorems for generalized nonlinear quadratic integral equations via a new fixed point result ⋮ Solvability of implicit fractional order integral equation in \(\ell_p\) (\(1 \leq p < \infty\)) space via generalized Darbo's fixed point theorem ⋮ Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type ⋮ Existence of nondecreasing solutions of a quadratic integral equation of Volterra type ⋮ Analysis and spectral element solution of nonlinear integral equations of Hammerstein type ⋮ Existence of positive continuous solutions of perturbed hammerstein equations ⋮ On Erdélyi-Kober fractional Urysohn-Volterra quadratic integral equations ⋮ An existence result for an infinite system of implicit fractional integral equations via generalized Darbo's fixed point theorem ⋮ Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type ⋮ On a perturbed quadratic fractional integral equation of Abel type ⋮ Constructive analysis of purely integral Boltzmann models ⋮ Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations ⋮ Monotonic solutions of a perturbed quadratic fractional integral equation ⋮ A novel Bäcklund invariance of a nonlinear differential equation ⋮ On the solutions to a class of nonlinear integral equations arising in transport theory ⋮ Solution of a nonlinear integral equation arising in particle transport theory

Cites Work

• On a class of Hammerstein integral equations

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