Publicación: BOUNDED AND PERIODIC SOLUTIONS FOR ABSTRACT FUNCTIONAL DIFFERENCE EQUATIONS WITH SUMMABLE DICHOTOMIES: APPLICATIONS TO VOLTERRA SYSTEMS
Fecha
2018
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Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Resumen
USING THE EXISTENCE OF SUMMABLE DICHOTOMIES IN LINEAR FUNCTIONAL DIFFERENCE EQUATIONS, THE CONTRACTION PRINCIPLE AND THE SCHAUDER FIXED POINT THEOREM, WE OBTAIN THE EXISTENCE OF BOUNDED AND PERIODIC SOLUTIONS UNDER QUITE GENERAL HYPOTHESES FOR NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS ON PHASE SPACES. APPLICATIONS OF OUR MAIN RESULTS TO VOLTERRA EQUATIONS ARE GIVEN. MOREOVER, EXAMPLES ARE ALSO GIVEN TO ILLUSTRATE OBTAINED RESULTS.
