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Periodic solutions for a kind of high-order -Laplacian differential equation with sign-changing coefficient ahead of the non-linear term

✍ Scribed by Xiaojing Li; Shiping Lu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
587 KB
Volume
70
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Periodic solutions for a Rayleigh type e
✍ Fabao Gao; Shiping Lu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 214 KB

Using the ManΓ‘sevich-Mawhin continuation theorem, a class of Rayleigh type equations with a deviating argument of the form is studied. It is notable that the coefficient Ξ²(t) ahead of g(x(tΟ„ (t))) is allowed to change sign in this paper, which could be achieved infrequently in previous papers.

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This paper concerns the existence of nontrivial solutions for the following singular m-point boundary value problem with a sign-changing nonlinear term is a sign-changing continuous function and may be unbounded from below. By applying the topological degree of a completely continuous field and the