An existence theorem on random singular intergral;

By applying the Leray-Schauder fixed point theorem,a new existence theorem is proved.

By making use of the Krasnosel skii fixed point theorem of cone expansion-compression type, an existence theorem of positive solution is established for a nonlinear second-order three-point boundary value problems.

In this paper,to use the section theorem in the field of nonlinear analysis,we prove a new existence theorem of weight Nash equilibrium.

After studying inverse problems in matrix theory as wellas inverse eigenvalue promems ofsymmetric tridiagonal matrices,the author has constructively proved an existence theorem ofsolutions to the inverse problems of generalized eigenvalue of symmetric tridiagonal matrices.

By making use of an extension Krasnosel′skii fixed point theorem in cones,it is established that existence theorem of at least one positive solution for a class of nonlinear second-order m-point boundary value problems with derivative(1.

In this paper, by applying Fan s Lemma,new existence theorems for vector implicit variational inequalities and vector implicit complementarity problems with a more general ordering in ordering Banach spaces introduced by Huang and Li are proved.

The present paper covers nonlinear boundary value problem for a class second order Volterra-hammestein type integrodifferential equation (Φ p(u))=f(t,u,T 1u,T 2u,u),L(u(0),u(0))=0,R(u(1),u(1))=0 is studied by using upper and lower solution and obtained existence theorems.

The present paper covers nonlinear boundary value problem for general second order Volterra-Hammerstein type integrodifferential equationis studied by using upper and lower solution and obtained existence theorems.