On the Lw2-boundedness of solutions for products of quasi-integro differential equations

Autor: Sobhy El-Sayed Ibrahim
Jazyk: angličtina
Rok vydání: 2003
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 10, Pp 639-659 (2003)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171203008007
Popis: Given a general quasi-differential expressions τ1,τ2,…,τn each of order n with complex coefficients and their formal adjoints are τ1+,τ2+,…,τn+ on [0,b), respectively, we show under suitable conditions on the function F that all solutions of the product of quasi-integrodifferential equation [∏j=1nτj]y=wF(t,y,∫0tg(t,s,y,y′,…,y(n2−1)(s))ds) on [0,b), 0
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