Title | ON MONOTONIC SOLUTIONS OF A SINGULAR QUADRATIC INTEGRAL EQUATION WITH SUPREMUM |

Publication Type | Journal Article |

Year of Publication | 2008 |

Authors | DARWISH MOHAMED |

Journal | Dynamic Systems and Applications |

Volume | 17 |

Start Page | 539 |

Pagination | 11 |

Date Published | 2008 |

ISSN | 1056-2176 |

AMS Subject Classification | 45G10, 45M99, 47H09 |

Abstract | We prove an existence theorem for a singular quadratic integral equation with supremum. The quadratic integral equation studied below contains as a special case numerous integral equations encountered in the theory of radiative transfer and in the kinetic theory of gases. We show that the singular quadratic integral equations with supremum has a monotonic solution in C[0, 1]. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof. |

https://acadsol.eu/dsa/articles/17/DSA-2007-539-550.pdf | |

Refereed Designation | Refereed |