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This paper is concerned with a kind of non-homogeneous boundary value problems for singular second order differential systems with Laplacian operators. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of boundary value problems are established. An example is presented to illustrate the main results.
목차
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참고문헌 (31)
참고문헌 신청
D. Anderson / 2001 / Corollary to the ¯ve functionals ¯xed point theorem / Journal of Nonlinear Studies 8:451~464
R. Avery / 1999 / A generalization of the Leggett-Williams ¯xed point theorem / MSR Hot-Line 3:9~14
R. Avery / 2001 / Three Positive Fixed Points of Nonlinear Operators on Ordered Banach Spaces / Comput. Math. Appl 42:313~322
H. Feng / 2008 / Existence of three positive solutions for m-point boundary-value problems with one-dimensional p-Laplacian / Nonl. A 68:2017~2026
H. Feng / 2008 / Multiple positive solutions for m-point boundary-value problems with a one-dimensional p-Laplacian / Nonl. Anal 68:2269~2279
R. Avery / 1999 / A generalization of the Leggett-Williams ¯xed point theorem / MSR Hot-Line 3:9~14
R. Avery / 2001 / Three Positive Fixed Points of Nonlinear Operators on Ordered Banach Spaces / Comput. Math. Appl 42:313~322
H. Feng / 2008 / Existence of three positive solutions for m-point boundary-value problems with one-dimensional p-Laplacian / Nonl. A 68:2017~2026
H. Feng / 2008 / Multiple positive solutions for m-point boundary-value problems with a one-dimensional p-Laplacian / Nonl. Anal 68:2269~2279
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