Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer
We 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 inte...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2006-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/57/abstr.html |
| _version_ | 1818028940769361920 |
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| author | Josefa Caballero Angelo B. Mingarelli Kishin Sadarangani |
| author_facet | Josefa Caballero Angelo B. Mingarelli Kishin Sadarangani |
| author_sort | Josefa Caballero |
| collection | DOAJ |
| description | We 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. |
| first_indexed | 2024-12-10T05:11:47Z |
| format | Article |
| id | doaj.art-936f4002b2bf4db79b4a06a6add24b29 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T05:11:47Z |
| publishDate | 2006-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-936f4002b2bf4db79b4a06a6add24b292022-12-22T02:01:05ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-05-01200657111Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transferJosefa CaballeroAngelo B. MingarelliKishin SadaranganiWe 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.http://ejde.math.txstate.edu/Volumes/2006/57/abstr.htmlMeasure of noncompactnessBanach algebraintegral equationfunctional equationfixed pointVolterraChandrasekhar H-functionsChandrasekhar integral equationradiative transfer. |
| spellingShingle | Josefa Caballero Angelo B. Mingarelli Kishin Sadarangani Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer Electronic Journal of Differential Equations Measure of noncompactness Banach algebra integral equation functional equation fixed point Volterra Chandrasekhar H-functions Chandrasekhar integral equation radiative transfer. |
| title | Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer |
| title_full | Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer |
| title_fullStr | Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer |
| title_full_unstemmed | Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer |
| title_short | Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer |
| title_sort | existence of solutions of an integral equation of chandrasekhar type in the theory of radiative transfer |
| topic | Measure of noncompactness Banach algebra integral equation functional equation fixed point Volterra Chandrasekhar H-functions Chandrasekhar integral equation radiative transfer. |
| url | http://ejde.math.txstate.edu/Volumes/2006/57/abstr.html |
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