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EXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH BOUNDARY PARAMETER

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초록

We establish the existence of positive solutions to nonlocal boundary value problems with integral boundary condition and non-negative real boundary parameter by mainly using the Schauder-Fixed point theorem.

Abstract

We establish the existence of positive solutions to nonlocal boundary value problems with integral boundary condition and non-negative real boundary parameter by mainly using the Schauder-Fixed point theorem.

참고문헌 (8)

  1. S.Chen, "Positive Solutions for an n-point Nonhomogeneous Boundary Value Problem", Mathematical and Computer Modelling, 40, pp.1405~1412 (2004)
  2. M. Feng, "Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces", Journal of Computational and Applied Mathematics, 222, pp.351~363 (2008)
  3. J.M. Gallardo, "Second order di eriential operators with integral boundary conditions and generation of semigroup", Rocky Mountain J. Math., 30, pp.1265~1292 (2000)
  4. X. Hao, "On positive solutions of an m-point nonhomogeneous singular boundary value problem", Nonlinear Anal., 73, pp.2532~2540 (2010)
  5. G. L. Karakostas, "Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems", Electron. J. Diff. Eqns., 30, pp.1~17 (2002)
  6. A. Lomtatidze, "On a nonlocal boundary-value problems for second order nonlinear singular differential equations", Georg. Math. J., 7, pp.133~154 (2000)
  7. R. Ma, "Positive Solutions for Second-Order Three-Point Boundary Value Problems", Appl. Math. Lett., 14, pp.1~5 (2001)
  8. R. Ma, "Positive Solutions of a nonlinear Three-Point Boundary-Value Problem", Electron. J. Differ. Equ., 1998(34), pp.1~8 (1998)

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