,zero solution,positive solu- tion,negative solution and sign-changing solution)for asymptotically linear operator equations is discussed,and the abstract results are applied to two-point boundary value problems for differential equations.

The existence and uniqueness of nonnegative solution for a class of age-structured SEIR epidemic model;

By using pure analysis method,are proved the monotone stability,existence and uniqeness of a dynamic state nonnegative solution of a repairable syatem with some singleness components.

This paper deals with the existence of nonnegative solutions to boundary value problems 1p(t)(p(t)y′(t))′+a(t)f(t,y(t))=0, lim t→0+ p(t)y′(t)=0=y(1) where p∈C 1 (0,1) with p>0 on (0,1),f≥0,f(t,y) is nonincreasing with respect to t for each fixed y and nondecreasing with respect to y for each fixed t, and a∈C(0,1) may change sign.

By elementary methods,it is proved that there is uniqueness of non-negative solution to the redundant syste

In this paper, firstly we study of the existence and uniqueness a dynamie state non-negative solution the complex repairable system by semigroups of operators theory, further we prove that 0 is the simple eigenvalue of the system.