Approximate solutions for integrodifferential equations of the neutral type
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 3, pp. 489-501
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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.
Classification :
34A60, 34G20, 34K07, 34K40, 45J05, 45L05
Keywords: approximate solutions; integrodifferential equation; neutral type; explicit estimate; discrete analogues; dependency of solutions; closeness of solutions
Keywords: approximate solutions; integrodifferential equation; neutral type; explicit estimate; discrete analogues; dependency of solutions; closeness of solutions
@article{CMUC_2010__51_3_a10,
author = {Pachpatte, B. G.},
title = {Approximate solutions for integrodifferential equations of the neutral type},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {489--501},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {2010},
mrnumber = {2741882},
zbl = {1224.45015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2010__51_3_a10/}
}
TY - JOUR AU - Pachpatte, B. G. TI - Approximate solutions for integrodifferential equations of the neutral type JO - Commentationes Mathematicae Universitatis Carolinae PY - 2010 SP - 489 EP - 501 VL - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2010__51_3_a10/ LA - en ID - CMUC_2010__51_3_a10 ER -
Pachpatte, B. G. Approximate solutions for integrodifferential equations of the neutral type. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 3, pp. 489-501. http://geodesic.mathdoc.fr/item/CMUC_2010__51_3_a10/