TY - JOUR
AU - 장성각
AU - 배명학[배명학]
DA - 201110
UR - http://hdl.handle.net/YU.REPOSITORY/24381
UR - http://dx.doi.org/10.1007/s12190-010-0434-3
AB - In this paper, we investigate the existence of solutions of a fully nonlinear fourth-order differential equation x (4)=f(t,x,x��, x��,x�ȡ�, [t��[0,1 with one of the following sets of boundary value conditions; x��(0)=x(1)=a 0x��(0)-b 0x�ȡ�(0)=a 1x��(1)+b 1x�ȡ�(1)=0, x(0)=x��(1)=a 0x��(0)- b 0x�ȡ�(0)=a 1x��(1)+b 1x�ȡ�(1)=0 By using the Leray-Schauder degree theory, the existence of solutions for the above boundary value problems are obtained. Meanwhile, as an application of our results, an example is given. ? 2010 Korean Society for Computational and Applied Mathematics.
LA - 영어
KW - Boundary values
KW - Existence
KW - Existence of Solutions
KW - Fourth-order
KW - Fourth-order differential equations
KW - Leray-Schauder degree theory
KW - Nagumo-condition
KW - Two-point boundary value problem
KW - Boundary value problems
KW - Nonlinear equations
TI - Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem
ER -