The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems

Journal of Applied Mathematics and Computing - Tập 38 Số 1-2 - Trang 145-159 - 2012
Maiying Zhong1, Xinguang Zhang2
1School of Informatics, Guangdong University of Foreign Studies, Guangzhou, 510006, China
2School of Mathematical and Informational Sciences, Yantai University, Yantai, 264005, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Agarwal, R., O’Regan, D.: Nonlinear superlinear singular and nonsingular second order boundary value problems. J. Differ. Equ. 143, 60–95 (1998)

Anuradha, V., Hai, D., Shivaji, R.: Existence results for superlinear semipositone BVP’s. Proc. Am. Math. Soc. 124, 757–746 (1996)

Aris, R.: Introduction to the Analysis of Chemical Reactors. Englewood Cliffs, Prentice-Hall (1965)

Bai, Z.: The method of lower and upper solutions for a bending of an elastic beam equation. J. Math. Anal. Appl. 248, 195–202 (2000)

Castro, A., Maya, C., Shivaji, R.: Nonlinear eigenvalue problems with semipositone. Electron. J. Differ. Equ. Conf. 05, 33–49 (2000)

Guo, D., Lakshmikantham, V.: Nonlinear Problems in Abstract Cone. Academic Press, New York (1988)

Ha, K., Lee, Y.: Existence of multiple positive solutions of singular boundary value problems,. Nonlinear Anal. 28, 1429–1438 (1997)

Lan, K., Webb, J.: Positive solutions of semilinear differential equations with singularities. J. Differ. Equ. 148, 407–421 (1998)

Liu, Y.: Global structure of solutions for a class of two-point boundary value problems involving singular and convex or concave nonlinearities. J. Math. Anal. Appl. 322, 75–86 (2006)

Ma, R., Zhang, J., Fu, S.: The method of lower and upper solutions for fourth-order two point boundary value problems. J. Math. Anal. Appl. 215, 415–422 (1997)

Wei, Z.: Positive solution of singular Dirichlet boundary value problems for second order differential equation system. J. Math. Anal. Appl. 328, 1255–1267 (2007)

Zhang, X., Liu, L.: Positive solutions of superlinear semipositone singular Dirichlet boundary value problems. J. Math. Anal. Appl. 316, 525–537 (2006)