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The paper is concerned with the existence of positive solutions for the nonlinear eigenvalue problem with singularity and the superlinear semipositone problem of higher order delay differential equations. The main results are obtained by using Guo-Krasnoselskii's fixed point tbearem In cones. These results extend some of the existing literature.
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53--64
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Bibliogr. 19 poz.
Bibliografia
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- [2] R. P. Agarwal, D. O’Regan, P. J. Y. Wang, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999.
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- [6] P. X. Weng, Boundary value problems for second order mixed type functional differential equations, Appl. Math. JCU. 12B (1997), 155-164.
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- [8] P. X. Weng, D. Q. Jiang, Existence of positive solutions for boundary value problem of second-order FDE, Comput. Math. Appl. 37 (10) (1999), 1-9.
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- [11] D. Guo, V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, NewYork, 1998.
- [12] A. Anuradha, D. D. Hai, R. Shivaji, Existence results for superlinear semipositone BVP’s, Proc. Amer. Math. Soc. 124 (3) (1996), 757-763.
- [13] D. D. Hai, K. Schmitt, R. Shivaji, Positive solutions of quasilinear boundary value problems, J. Math. Anal. Appl. 217 (1998), 672-686.
- [14] C. Maya, R. Shivaji, Multiple positive solutions for a class of semilinear elliptic boundary value problems, Nonlinear Anal. 38 (1999), 497-504.
- [15] V. Anuradha, C. Maya, R. Shivaji, Positive solutions for a class of nonlinear boundary value problems with Neumann-Robin boundary conditions, J. Math. Anal. Appl. 236 (1999), 94-124.
- [16] A. Castro, S. Gadam, R. Shivaji, Evolution of solution curves in semipositione problems with concave nonlinearities, J. Math. Anal. Appl. 245 (2000), 282-293.
- [17] D. D. Hai, R. Shivaji, An existence result on positive solutions for a class of P-Laplacian systems, Nonlinear Anal. 56 (2004), 1007-1010.
- [18] J. R. Graef, Bo Yang, Positive solutions to a multi-point higher order boundary value problem, J. Math. Anal. Appl. 316 (2006), 409-421.
- [19] Dingyong Bai, Yuantong Xu, Existence of positive solutions for boundary-value problems of second-order delay differential equations, Appl. Math. Lett. 18 (2005), 621-630.
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Bibliografia
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bwmeta1.element.baztech-article-PWA3-0051-0005