On unimprovable Lambert estimates of solutions for one class of nonlinear integral inequalities
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 3-12
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Unimprovable estimates of continuous solutions for some nonlinear integral inequalities are obtained in terms of the Lambert $W$ function. Such inequalities play an important role in the mathematical theory of modeling nonlinear dynamical systems of the black box type by Volterra polynomials.
Keywords: Lambert function, unimprovable estimates
Mots-clés : majorant Cauchy problem.
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A. S. Apartsyn; V. A. Spiryaev. On unimprovable Lambert estimates of solutions for one class of nonlinear integral inequalities. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 3-12. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a0/

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