The existence of positive solutions for boundary value problems of nonlinear functional
difference equations with
-Laplacian operator is investigated. Sufficient conditions are obtained for the existence
of at least one positive solution and two positive solutions.
References
-
Erbe, LH, Wang, H: On the existence of positive solutions of ordinary differential equations. Proceedings of the American Mathematical Society. 120(3), 743–748 (1994). Publisher Full Text
-
Grimm, LJ, Schmitt, K: Boundary value problems for differential equations with deviating arguments. Aequationes Mathematicae. 4(1-2), 176–190 (1970). Publisher Full Text
-
Gustafson, GB, Schmitt, K: Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations. Journal of Differential Equations. 12(1), 129–147 (1972). Publisher Full Text
-
Weng, PX, Jiang, D: Existence of positive solutions for boundary value problem of second-order FDE. Computers & Mathematics with Applications. 37(10), 1–9 (1999). PubMed Abstract | Publisher Full Text
-
Weng, PX, Tian, Y: Existence of positive solution for singular
conjugate boundary value problem with delay. Far East Journal of Mathematical Sciences. 1(3), 367–382 (1999)
-
Wong, F-H: Existence of positive solutions for
-Laplacian boundary value problems. Applied Mathematics Letters. 12(3), 11–17 (1999). Publisher Full Text -
Yang, SJ, Shi, B, Gai, MJ: Boundary value problems for functional differential systems. Indian Journal of Pure and Applied Mathematics. 36(12), 685–705 (2005)
-
Weng, PX, Guo, ZH: Existence of positive solutions to BVPs for a nonlinear functional difference equation with
-Laplacian operator. Acta Mathematica Sinica. 49(1), 187–194 (2006)
-
Ntouyas, SK, Sficas, YG, Tsamatos, PCh: Boundary value problems for functional-differential equations. Journal of Mathematical Analysis and Applications. 199(1), 213–230 (1996). Publisher Full Text
-
Guo, DJ: Nonlinear Functional Analysis, Shandong Scientific Press, Jinan, China (1985)




