On the Positive Solutions of Matukuma Equation
نویسنده
چکیده
3/(1 + r2) for (1.2) with p = 3 which confirms part of his conjecture. Since then there seems to be very little mathematical contribution in the literature on this equation until the recent works of W.-M. Ni and S. Yotsutani [NY1,2], Y. Li and W.-M. Ni [LN2], and E.S. Noussair and C.A. Swanson [NS]. First, it was observed in [NY2] and [LN2] that Eddington’s model does not have any positive entire solutions (which perhaps indicates that Matukuma equation is indeed a better physical model). Concerning Matukuma’s conjecture, the following results were established by [NY2] and [LN1,2] which shows that equation (1.2) is perhaps more delicate than Matukuma had expected.
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تاریخ انتشار 1993