A singular nonlinear boundary value problem

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The Journal

ISSN: 1945-5844 (e-only)

ISSN: 0030-8730 (print)

Vol. 78 (1978), No. 2, 375–383

DOI: 10.2140/pjm.1978.78.375

We consider the singular nonlinear boundary value problem (BVP)

y¨− y+ yF (y2,t) = 0, t ∈ (0,∞ )

(1)

y(0) = 0, ltim→∞ y(t) = 0, y˙(0) exists , y(t) > 0 on (0,∞ ).

(2)

The problem is singular in a second way, in that we will allow F(η,t) to have a singularity at t = 0.

Primary: 34B15

Received: 8 October 1977

Published: 1 October 1978