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Keywords:
approximate solutions; integrodifferential equation; neutral type; explicit estimate; discrete analogues; dependency of solutions; closeness of solutions
approximate solutions; integrodifferential equation; neutral type; explicit estimate; discrete analogues; dependency of solutions; closeness of solutions
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References:
[1] Bellman R., Cooke K.L.: On the limit of solutions of differential-difference equations. Proc. Nat. Acad. Sci. 45 (1959), 2026–2028. MR 0109243 | Zbl 0088.29803
[2] Bellman R., Cooke K.L.: Differential-Difference Equations. Academic Press, New York, 1963. MR 0147745 | Zbl 0163.10501
[3] Brunner H.: Colloction methods for Volterra integral and related functional differential equations. Cambridge University Press, Cambridge, 2004. MR 2128285
[4] Buhmann M., Iserles A.: On the dynamics of a discretized neutral equation. IAM J. Numer. Anal. 12 (1992), 339–363. MR 1181255 | Zbl 0759.65056
[5] Pachpatte B.G.: Inequalities for Differential and Integral Equations. Academic Press, New York, 1998. MR 1487077 | Zbl 1032.26008
[6] Pachpatte B.G.: Inequalities for Finite Difference Equations. Marcel Dekker, Inc., New York, 2002. MR 1867845 | Zbl 0987.39001
[7] Pachpatte B.G.: Integral and Finite Difference Inequalities and Applications. North-Holland Mathematics Studies, 205, Elsevier Science, B.V., Amsterdam, 2006. MR 2286291 | Zbl 1104.26015
[8] Pachpatte B.G.: Implicit type Volterra integrodifferential equation. Tamkang J. Math. 41 (2010), 97–107. MR 2666648
[9] Sugiyama S.: On the existence and uniqueness theorems of difference-differential equations. Kodai Math. Sem. Rep. 12 (1960), 179–190. MR 0121552 | Zbl 0097.06803
[10] Sugiyama S.: On the boundedness of solutions of difference-differential equations. Proc. Japan Acad. 36 (1960), 456–460. MR 0124585 | Zbl 0114.04601
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