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On the Product of Integro Differential Equations and Their Solutions in Direct Sum Spaces
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作者 Sobhy El-sayed Ibrahim 《Journal of Mathematics and System Science》 2013年第5期231-245,共15页
In this paper, we consider a general quasi-differential expressions t1,t2 Tn, each of order n with complex coefficients and their formal adjoints are t1+,t2+- x+ on [0, b) respectively. We show in the direct sum s... In this paper, we consider a general quasi-differential expressions t1,t2 Tn, each of order n with complex coefficients and their formal adjoints are t1+,t2+- x+ on [0, b) respectively. We show in the direct sum spaces LZ(Ip), p = 1,2 N of functions defined on each of the separate intervals with the case of one singular end-points and under suitable conditions on the function F that all solutions of the product quasi-integro differential equations are bounded and LZw -bounded on [0,b). 展开更多
关键词 Quasi-integro differential equation product differential expressions direct sum spaces bounded and square integrablesolutions.
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