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Article

Pachpatte, B. G.
Approximate solutions for integrodifferential equations of the neutral type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 3, pp. 489-501
MSC: 34A60, 34G20, 34K07, 34K40, 45J05, 45L05 | MR 2741882 | Zbl 1224.45015
Keywords:
approximate solutions; integrodifferential equation; neutral type; explicit estimate; discrete analogues; dependency of solutions; closeness of solutions
Summary:
The main objective of the present paper is to study the approximate solutions for integrodifferential equations of the neutral type with given initial condition. A variant of a certain fundamental integral inequality with explicit estimate is used to establish the results. The discrete analogues of the main results are also given.
References:
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