Sobhy El-Sayed Ibrahim, "On the -boundedness of solutions for products of quasi-integro differential equations", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 421561, 21 pages, 2003. https://doi.org/10.1155/S0161171203008007
On the -boundedness of solutions for products of quasi-integro differential equations
Given a general quasi-differential expressions each of order with complex coefficients and their formal adjoints are on , respectively, we show under suitable conditions on the function that all solutions of the product of quasi-integrodifferential equation on , , are bounded and -bounded on . These results are extensions of those by Ibrahim (1994), Wong (1975), Yang (1984), and Zettl (1970, 1975).
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