장성각
배명학[배명학]
2015-12-17T01:11:11Z
2015-12-17T01:11:11Z
2015-11-13
201110
Journal of Applied Mathematics and Computing, v.37, no.01�� 02��, pp.287 - 295
1598-5865
http://hdl.handle.net/YU.REPOSITORY/24381
http://dx.doi.org/10.1007/s12190-010-0434-3
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.
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영어
Boundary values
Existence
Existence of Solutions
Fourth-order
Fourth-order differential equations
Leray-Schauder degree theory
Nagumo-condition
Two-point boundary value problem
Boundary value problems
Nonlinear equations
Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem
Article
2-s2.0-80052621566
6370
ART
18700166