Existence theorems for generalized nonlinear quadratic integral equations via a new fixed point result
| Autor: | Paola Rubbioni, Tiziana Cardinali |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Chandrasekhar integral equations
Pure mathematics Quadratic integral Applied Mathematics Fixed-point theorem Existence theorem Fixed point Topological space Quadratic integral equations Chandrasekhar integral equations fixed point theorems fixed point theorems Quadratic integral equations Nonlinear system Quadratic equation Bounded function Discrete Mathematics and Combinatorics Analysis Mathematics |
| Popis: | The existence of \begin{document}$ L^{2} $\end{document} -nonnegative solutions for nonlinear quadratic integral equations on a bounded closed interval is investigated. Two existence results for different classes of functions are shown. As a consequence an existence theorem for the Chandrasekhar integral quadratic equation, well-known in theory of radiative transfer, is obtained. The aim is achieved by means of a new fixed point theorem for multimaps in locally convex linear topological spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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