Solvability of right focal boundary value problems with superlinear growth conditions
1 Department of Mathematics, Beihua University, JiLin City, 132013, P.R. China
2 Department of Mathematics, Yeungnam University, Kyongsan, 712-749, Korea
3 Department of Mathematics Education, Daegu University, Kyongsan, 712-714, Korea
Boundary Value Problems 2012, 2012:60 doi:10.1186/1687-2770-2012-60Published: 22 June 2012
In this paper, we consider nth-order two-point right focal boundary value problems
where is a -Carathéodory () function and satisfies superlinear growth conditions. The existence and uniqueness of solutions for the above right focal boundary value problems are obtained by Leray-Schauder continuation theorem and analytical technique. Meanwhile, as an application of our results, examples are given.