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DC,w title[*]contributor[*]keywords[*]date[issued] publisher citationsidentifier[uri]identifier[doi]abstractZExistence of solutions for a fully nonlinear fourth-order two-point boundary value problem1;
0Y[0Y];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;201110NJournal of Applied Mathematics and Computing, v.37, no.01 02, pp.287 - 295Whttp://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!, [t[0,1 with one of the following sets of boundary value conditions; x(0)=x(1)=a 0x(0)-b 0x!(0)=a 1x(1)+b 1x!(1)=0, x(0)=x(1)=a 0x(0)- b 0x!(0)=a 1x(1)+b 1x!(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.>5WPrezt%G
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