Global approximations to solutions of initial value problems
نویسندگان
چکیده
منابع مشابه
Nonlinear Initial Value Problems with Positive Global Solutions
We give conditions on m(t), p(t), and f(t, y, z) so that the nonlinear initial value problem (1/m(t)(p(t)y0)0 + f(t, y, p(t)y0) = 0, for t > 0, y(0) = 0, limt→0+ p(t)y0(t) = B > 0, has at least one positive solution which exists for all t > 0, if B is sufficiently small. We allow a singularity at t = 0 so the solution y0(t) may be unbounded near t = 0.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1978
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1978-0461917-1