6533b7dafe1ef96bd126d929

RESEARCH PRODUCT

Krasnosel'skiĭ-Schaefer type method in the existence problems

Dariusz WardowskiCalogero Vetro

subject

Pure mathematicsCompact operatorApplied MathematicsBanach spaceExistence theoremType (model theory)Nonlinear integral equationNonlinear integral equationCompact operatorIntegral equationSettore MAT/05 - Analisi MatematicaF contractionAlgebraic numberF-contractionAnalysisKrasnosel’skiĭ-schaefer fixed point theoremMathematics

description

We consider a general integral equation satisfying algebraic conditions in a Banach space. Using Krasnosel'skii-Schaefer type method and technical assumptions, we prove an existence theorem producing a periodic solution of some nonlinear integral equation.

yearjournalcountryeditionlanguage
2019-07-13
10.12775/tmna.2019.028https://projecteuclid.org/euclid.tmna/1563242554