Mixed boundary-value problems for singular second-order ordinary differential equations

Author： Yakovlev M.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.141, Iss.6, 2007-03, pp. : 1710-1722

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Abstract

It is proved that the boundary-value problem , has a solution, provided that the following conditions are fulfilled: 0, 1 - intlimits_a^b {p_0^ - (t)(t - a)dt > 0} hfill end{gathered} $$ ]]> , and, for &PHgr;(u) ≡ 0, the Galerkin method converges in the norm of the space H1(a, b; a). Several theorems of a similar kind are presented. Bibliography: 4 titles.

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