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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Limit boundary value problems of retarded functional-differential equations


Author: Shao Zhu Chen
Journal: Proc. Amer. Math. Soc. 98 (1986), 46-50
MSC: Primary 34K10
MathSciNet review: 848873
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Abstract: We establish necessary and sufficient conditions assuring the existence and uniqueness of solutions of the limit boundary value problems on a half-line $ [a,\infty )$ for the retarded functional equation

$\displaystyle \ddot x(t) + f(t,x({g_1}(t)), \ldots ,x({g_m}(t)))h(\dot x(t)) = 0$

.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0848873-5
PII: S 0002-9939(1986)0848873-5
Keywords: Limit boundary value problems, retarded equations, necessary and sufficient conditions
Article copyright: © Copyright 1986 American Mathematical Society



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