Positive periodic solutions for singular fourth-order differential equations with a deviating argument
2018 ◽
Vol 148
(3)
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pp. 605-617
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Keyword(s):
In this paper, we study the singular fourth-order differential equation with a deviating argument:By using Mawhin's continuation theorem and some analytic techniques, we establish some criteria to guarantee the existence of positive periodic solutions. The significance of this paper is that g has a strong singularity at x = 0 and satisfies a small force condition at x = ∞, which is different from the known ones in the literature.
2008 ◽
Vol 7
(5)
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pp. 1225-1235
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1972 ◽
Vol 69
(4)
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pp. 295-333
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1980 ◽
Vol 87
(1-2)
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pp. 53-63
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1977 ◽
Vol 79
(1-2)
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pp. 51-59
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2007 ◽
Vol 20
(11)
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pp. 1131-1136
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2003 ◽
Vol 17
(4)
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pp. 341-356
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