On the existence of solutions for quadratic integral equations in Orlicz spaces

In: Mathematica Slovaca, vol. 66, no. 6

Mieczysław Cichoń - Mohamed M. A. Metwali

Detaily:

Rok, strany: 2016, 1413 - 1426

Kľúčové slová:

integral equation, monotonic solutions, Orlicz spaces, superposition operators

DOI: https://doi.org/10.1515/ms-2016-0233

O článku:

We study quadratic integral equations in Orlicz spaces on the interval $[a,b]$. We relate growth conditions with appropriate spaces of solutions and then we investigate different cases. Our approach allows to consider discontinuous solutions as well as to unify the results for both quadratic and classical integral equations. Many different types of growth conditions for investigated functions are considered.

Ako citovať:

ISO 690:

Cichoń, M., Metwali, M. 2016. On the existence of solutions for quadratic integral equations in Orlicz spaces. In Mathematica Slovaca, vol. 66, no.6, pp. 1413-1426. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0233

APA:

Cichoń, M., Metwali, M. (2016). On the existence of solutions for quadratic integral equations in Orlicz spaces. Mathematica Slovaca, 66(6), 1413-1426. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0233

O vydaní:

Publikované: 1. 12. 2016