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Zbl 1238.45009
Xiao, Ti-Jun; Liang, Jin
Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1442-e1447 (2009). ISSN 0362-546X

Summary: We present new blow-up theorems, which are only in terms of the ordinary limit, for the solutions to the Cauchy problem for integral equations with infinite delay in Banach spaces. Moreover, we provide an example to illustrate our abstract result.

MSC 2000:: *45N05 Integral equations in abstract spaces
47N20 Appl. of operator theory to differential and integral equations

Keywords: Cauchy problem; integral equation; infinite delay; blow-up; Banach space

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