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The unique solution of boundary value problems for nonlinear second-order integral–differential equations of mixed type in Banach spaces

✍ Scribed by Zenggui Wang; Lishan Liu; Yonghong Wu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
222 KB
Volume
54
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, a class of two-point boundary value problems for nonlinear second-order integral-differential equations of mixed type is investigated in a real Banach space without making any compactness type assumption; we establish conditions for the existence of a unique solution of the equation and develop an iterative formula for approximation of the solution and a formula for estimating the error of the iterative solution. The results we obtained generalize and improve various recent results.

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