Limit boundary value problems of retarded functional-differential equations

Chen, Shao Zhu

doi:10.1090/S0002-9939-1986-0848873-5

Limit boundary value problems of retarded functional-differential equations
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by Shao Zhu Chen

Proc. Amer. Math. Soc. 98 (1986), 46-50

DOI: https://doi.org/10.1090/S0002-9939-1986-0848873-5

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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 \[ \ddot x(t) + f(t,x({g_1}(t)), \ldots ,x({g_m}(t)))h(\dot x(t)) = 0\].

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