Publicación: (OMEGA,C)-ASYMPTOTICALLY PERIODIC FUNCTIONS, FIRST-ORDER CAUCHY PROBLEM, AND LASOTA-WAZEWSKA MODEL WITH UNBOUNDED OSCILLATING PRODUCTION OF RED CELLS

Fecha
2019
Título de la revista
ISSN de la revista
Título del volumen
Editor
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Resumen
IN THIS PAPER, WE STUDY A NEW CLASS OF FUNCTIONS, WHICH WE CALL (OMEGA, C)-ASYMPTOTICALLY PERIODIC FUNCTIONS. THIS COLLECTION INCLUDES ASYMPTOTICALLY PERIODIC, ASYMPTOTICALLY ANTIPERIODIC, ASYMPTOTICALLY BLOCH-PERIODIC, AND UNBOUNDED FUNCTIONS. WE PROVE THAT THE SET CONFORMED BY THESE FUNCTIONS IS A BANACH SPACE WITH A SUITABLE NORM. FURTHERMORE, WE SHOW SEVERAL PROPERTIES OF THIS CLASS OF FUNCTIONS AS THE CONVOLUTION INVARIANCE. WE PRESENT SOME EXAMPLES AND A COMPOSITION RESULT. AS AN APPLICATION, WE PROVE THE EXISTENCE AND UNIQUENESS OF (OMEGA, C)-ASYMPTOTICALLY PERIODIC MILD SOLUTIONS TO THE FIRST-ORDER ABSTRACT CAUCHY PROBLEM ON THE REAL LINE. ALSO, WE ESTABLISH SOME SUFFICIENT CONDITIONS FOR THE EXISTENCE OF POSITIVE (OMEGA, C)-ASYMPTOTICALLY PERIODIC SOLUTIONS TO THE LASOTA-WAZEWSKA EQUATION WITH UNBOUNDED OSCILLATING PRODUCTION OF RED CELLS.