含有一阶导数的二阶微分方程组多点边值问题的拟对称正解

Positive Pseudo-symmetric Solutions of Multi-point Boundary Value Problems for the Second-order Differential Systems with Dependence on the First Order Derivatives

讨论了含一阶导数的微分方程组二阶多点边值问题拟对称正解的存在性.利用一个锥上的不动点定理,得到上述问题具有一个正解的充分条件.

The existence of positive pseudo-symmetric solutions of multi-point boundary value problems for the second-order differential systems with dependence on the first order derivatives is discussed. By a new fixed point theory in a cone, sufficient conditions under which the above boundary problem system has at least one positive solution are provided.