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Positive solutions of fourth-order superlinear singular boundary value problems

  • Guoliang Shi (a1) and Shaozhu Chen (a1)

Abstract

This paper investigates fourth-order superlinear singular two-point boundary value problems and obtains necessary and sufficient conditions for existence of C2 or C3 positive solutions on the closed interval.

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References

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[1]Aftabizadeh, A.R., ‘Existence and uniqueness theorems for fourth-order boundary value problems’, J. Math. Anal. Appl. 116 (1986), 415426.
[2]Agarwal, R.P., ‘On fourth-order boundary value problems arising in beam analysis’, Differential Integral Equations 2 (1989), 91110.
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[8]O'Regan, D., ‘Solvability of some fourth (and higher) order singular boundary value problems’, J. Math. Anal. Appl. 161 (1991), 78116.
[9]Wei, Z., ‘Positive solutions of singular boundary value problems of fourth order differential equations’, Acta Math. Sinica 42 (1999), 715722.
[10]Chen, S. and Zhang, Y., ‘Singular boundary value problem on a half-line’, J. Math. Anal. Appl. 195 (1995), 449468.
[11]Guo, D. and Lakshmikantham, V., Nonlinear problems in abstract cones, Notes and Reports in Mathematics in Science and Engineering 5 (Academic Press, Inc., Boston, New York, 1988).
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Positive solutions of fourth-order superlinear singular boundary value problems

  • Guoliang Shi (a1) and Shaozhu Chen (a1)

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