Publicación: (OMEGA,C)-PSEUDO PERIODIC FUNCTIONS, FIRST ORDER CAUCHY PROBLEM AND LASOTA-WAZEWSKA MODEL WITH ERGODIC AND UNBOUNDED OSCILLATING PRODUCTION OF RED CELLS
Fecha
2019
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Boundary Value Problems
Resumen
IN THIS PAPER WE STUDY A NEW CLASS OF FUNCTIONS, WHICH WE CALL (?,C )-PSEUDO PERIODICFUNCTIONS. THIS COLLECTION INCLUDES PSEUDO PERIODIC, PSEUDO ANTI-PERIODIC, PSEUDOBLOCH-PERIODIC, AND UNBOUNDED FUNCTIONS. WE PROVE THAT THE SET CONFORMED BY THESEFUNCTIONS IS A BANACH SPACE WITH A SUITABLE NORM. FURTHERMORE, WE SHOW SEVERALPROPERTIES OF THIS CLASS OF FUNCTIONS AS THE CONVOLUTION INVARIANCE. WE PRESENT SOMEEXAMPLES AND A COMPOSITION RESULT. AS AN APPLICATION, WE PROVE THE EXISTENCE ANDUNIQUENESS OF (?,C )-PSEUDO PERIODIC MILD SOLUTIONS TO THE ?RST ORDER ABSTRACT CAUCHYPROBLEM ON THE REAL LINE. ALSO, WE ESTABLISH SOME SU?CIENT CONDITIONS FOR THEEXISTENCE OF POSITIVE (?,C )-PSEUDO PERIODIC SOLUTIONS TO THE LASOTA?WAZEWSKAEQUATION WITH UNBOUNDED OSCILLATING PRODUCTION OF RED CELLS.
