Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer

dc.contributor.authorCaballero, Josefa
dc.contributor.authorMingarelli, Angelo B.
dc.contributor.authorSadarangani, Kishin
dc.date.accessioned2021-07-16T17:06:46Z
dc.date.available2021-07-16T17:06:46Z
dc.date.issued2006-05-01
dc.description.abstractWe give an existence theorem for some functional-integral equations which includes many key integral and functional equations that arise in nonlinear analysis and its applications. In particular, we extend the class of characteristic functions appearing in Chandrasekhar's classical integral equation from astrophysics and retain existence of its solutions. Extensive use is made of measures of noncompactness and abstract fixed point theorems such as Darbo's theorem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCaballero, J., Mingarelli, A. B., & Sadarangani, K. (2006). Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer. <i>Electronic Journal of Differential Equations, 2006</i>(57), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13930
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectMeasure of noncompactness
dc.subjectBanach algebra
dc.subjectIntegral equation
dc.subjectFunctional equation
dc.subjectFixed point
dc.subjectVolterra
dc.subjectChandrasekhar H-functions
dc.subjectChandrasekhar integral equation
dc.subjectRadiative transfer
dc.titleExistence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transferen_US
dc.typeArticle

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