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Multiple positive solutions of a class of second-order nonlinear differential equations on the half-line

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In this paper, we consider the existence of multiple positive solutions for the second order nonlinear boundary value problem on the half-line [수식] where [수식] is continuous. Some weaker conditions are imposed on g yields the existence of at least three symmetric positive solutions.

Abstract

In this paper, we consider the existence of multiple positive solutions for the second order nonlinear boundary value problem on the half-line [수식] where [수식] is continuous. Some weaker conditions are imposed on g yields the existence of at least three symmetric positive solutions.

참고문헌 (11)

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  3. R.A.Agarwal, "Positive solutions of Differen-tial, Difference and Integral Equations" (1999), Kluwer Academic
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  7. J. Henderson, "Multiple symmetric positive solutions for a second order boundary value problem", Proceeding of the American Mathe-matical Society, 8(128), pp.2373~2379 (2000)
  8. R. W. Leggett, "Multiple positive fixed points of nonlinear operators on ordered Banach spaces", Indiana Univ. Math. J, 28, pp.673~688 (1979)
  9. Y. liu, "Boundary value problems for second order differential equations on unbounded domains in a Banach space", Applied Mathematics and computation, 1135, pp.569~583 (2003)
  10. X. Ni, "Existence of multiple positive solutions for boundary value problems on the half-line", J. Sys. Sci. and Math. Scis, 26, pp.113~120 (2006)
  11. W., "Multiple positive unbounded solutions of infinite boundary value problem of a class of nonlinear second order differential equation", Acta Mathematicae Applicatae Sinica, 29, pp.53~60 (2006)

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