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Existence of solutions to ibvp for nonlinear second order equations with functional dependence

✍ Scribed by Henryk Leszczynski


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
492 KB
Volume
28
Category
Article
ISSN
0362-546X

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## Abstract The Cauchy problem for nonlinear parabolic differential‐functional equations is considered. Under natural generalized Lipschitz‐type conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence __u__(__Β·__);