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Existence and uniqueness of solutions for singular fourth-order boundary value problems - MaRDI portal

Existence and uniqueness of solutions for singular fourth-order boundary value problems (Q2499802)

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Existence and uniqueness of solutions for singular fourth-order boundary value problems
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    Existence and uniqueness of solutions for singular fourth-order boundary value problems (English)
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    14 August 2006
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    The authors prove existence and uniqueness of positive solutions for a fourth-order boundary value problem with singular nonlinearities. The proof is based on a fixed-point theorem for maps satisfying mixed monotonicity hypotheses. Reviewer's remark: There are two proofs in the paper: one is wrong.
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    mixed monotone operator
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    fourth-order boundary value problems
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    singular nonlinearties
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