A priori estimates and solvability of the third two-point boundary value problem

作者：Naimov A N^*; Bystretskii M V

来源：Differential Equations, 2010, 46(2): 284-288.

DOI：10.1134/S0012266110020138

We study a priori estimates and solvability of a nonlinear two-point boundary value problem for systems of second-order ordinary differential equations with leading positively homogeneous nonlinearity of order > 1 vanishing on a single surface. Assuming that an a priori estimate holds, we prove the invariance of the solvability of the problem under a continuous change of the leading nonlinear homogeneous terms and under arbitrary perturbations that do not affect the behavior of the leading nonlinear homogeneous terms at infinity.

• 出版日期2010-2