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An extension of fixed point theorems concerning cone expansion and compression and its application

Feng Wang|Fang Zhang
대한수학회 (The Korean Mathematical Society)|2009.04|대한수학회논문집 (Communications of the KMS)|제24권 제2호|pp. 281-290

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참고문헌

키워드

fixed point theoremscone expansion and compressionHammerstein integral equations
주제분류수학

초록

The famous Guo-Krasnosel'skii fixed point theorems concerning cone expansion and compression of norm type and order type are extended, respectively. As an application, the existence of multiple positive solutions for systems of Hammerstein type integral equations is considered.

Abstract

The famous Guo-Krasnosel'skii fixed point theorems concerning cone expansion and compression of norm type and order type are extended, respectively. As an application, the existence of multiple positive solutions for systems of Hammerstein type integral equations is considered.

참고문헌 (17)

  1. R. P. Agarwal, "Semipositone higher-order differential equations", Appl. Math. Lett., 17, pp.201~207 (2004)
  2. D. R. Anderson, "Fixed point theorem of cone expansion and compression of functional type", J. Difference Equations Appl., 8, pp.1073~1083 (2002)
  3. K. Deimling, "Nonlinear Functional Analysis" (1985), Springer-Verlag
  4. P. Eloe, "Positive solutions for (n - 1, 1) conjugate boundary value problems", Nonlinear Anal. TMA, 28, pp.1669~1680 (1997)
  5. D. Guo, "Nonlinear Problems in Abstract Cones" (1988), Academic Press
  6. D. Guo, "Nonlinear Integral Equations" (1987), Shandong Press of Science and Technology
  7. M. G. Krein, "Linear operators leaving invariant a cone in a Banach space", Transl. Amer. Math. Soc., 10, pp.199~325 (1962)
  8. R. Ma, "On the existence of positive solutions of fourth-order ordinary differential equations", Appl. Anal., 59, pp.225~231 (1995)
  9. R. Ma, "Positive solutions of nonlinear three-point boundary-value problems", J. Math. Anal. Appl., 282, pp.232~240 (2003)
  10. J. Sun, "Computation for topological degree and its applications", J. Math. Anal. Appl., 202, pp.785~796 (1996)
  11. Z. Yang, "Existence and nonexistence results for positive solutions of an integral boundary value problem", Nonlinear Anal., 65, pp.1489~1511 (2006)
  12. Z. Yang, "Positive solutions of a second-order integral boundary value problem", J. Math. Anal. Appl., 321, pp.751~765 (2006)
  13. Z. Yang, "Nontrivial solutions of systems of nonlinear Hammerstein integral equations and applications", Mathematica Acta Scientia, 26A(2), pp.233~240 (2006)
  14. Z. Yang, "Positive solvability of systems of nonlinear Hammerstein integral equations", J. Math. Anal. Appl., 311, pp.600~614 (2005)
  15. Z. Yang, "Positive solutions of boundary value problems for systems of nonlinear second order ordinary differential equations", Acta Mathematica Sinica, 47, pp.111~118 (2004)
  16. E. Zeidler, "Nonlinear Functional Analysis and its Applications I: Fixed-Point Theorems" (1986), Springer-Verlag
  17. G. Zhang, "A generalization of the cone expansion and compression fixed point theorem and applications", Nonlinear Anal., 67, pp.579~586 (2007)

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