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