On the Lw2-boundedness of solutions for products of quasi-integro differential equations
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203008007 |
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| Summary: | 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<b≤∞;t,s≥0, are bounded and Lw2-bounded on [0,b). These results are extensions of those by Ibrahim (1994), Wong (1975),
Yang (1984), and Zettl (1970, 1975). |
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| ISSN: | 0161-1712 1687-0425 |