Singular higher-order semipositone nonlinear eigenvalue problems
In this paper, we consider the existence of positive solutions to the following singular higher-order semipositone eigenvalue problem (HSEP): {(-1)(n-k)u(n)(t) = λ[f(t, u(t)) + q(t)], 0 < t < 1, u(i)(0) = 0, 0 ≤ i ≤ k - 1, u(i)(1) = 0, 0 ≤ i ≤ n-k-1, where n ≥ 2, 1 ≤ k ≤ n - 1, and λ > 0 is...
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Main Authors: | , , , |
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Format: | Article |
Published: |
2018
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Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/24618 |
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Institution: | Mahidol University |